# Find the L.C.M of \[39,65,130,156\]

Answer

Verified

334.8k+ views

**Hint**: To find the lowest common multiple LCM for the given numbers we will use prime factorization method. It is the method to express the given number as the product of prime factors. From all the received prime factors after applying prime factorization to the given number, identify the maximum number of times each prime factor appears. This is the LCM or least common multiple.

**:**

__Complete step-by-step answer__We know the prime factorization method is the splitting of a given number in terms of prime factors. Prime factors or numbers are factors that are divided exactly by themselves or 1, for example 2, 3, 5, 7, 11, 13 etc.

Using prime factorization method

(1). \[39,65,130,156\]

Factor of \[39=3\times 13\]. . . . . . . . . . . . . .. . . . . . . . . (1)

Factor of \[65=5\times 13\]. . . . . . . . . . . . . . . . . . . . . . . (2)

Factor of \[130=2\times 5\times 13\]. . . . . . . . . . . . . . . . . . . (3)

Factor of \[156=2\times 2\times 3\times 13\]. . . . . . . . . . . . . . . . . (4)

We have to take the maximum number of times each prime factor appears; this is the least common multiple or else called as L.C.M of the given numbers.

\[L.C.M\left( 39,65,130,156 \right)=2\times 2\times 3\times 5\times 13=780\]

**Note**: The only possible mistake you could encounter can be the use of common factors in the prime factorization method instead of prime factors. Only use prime factors and perform prime factorization carefully.

Last updated date: 22nd Sep 2023

â€¢

Total views: 334.8k

â€¢

Views today: 7.34k

Recently Updated Pages

What do you mean by public facilities

Paragraph on Friendship

Slogan on Noise Pollution

Disadvantages of Advertising

Prepare a Pocket Guide on First Aid for your School

10 Slogans on Save the Tiger

Trending doubts

How do you solve x2 11x + 28 0 using the quadratic class 10 maths CBSE

What is the IUPAC name of CH3CH CH COOH A 2Butenoic class 11 chemistry CBSE

Drive an expression for the electric field due to an class 12 physics CBSE

Difference between Prokaryotic cell and Eukaryotic class 11 biology CBSE

Fill the blanks with the suitable prepositions 1 The class 9 english CBSE

Difference Between Plant Cell and Animal Cell

The dimensions of potential gradient are A MLT 3A 1 class 11 physics CBSE

Define electric potential and write down its dimen class 9 physics CBSE

Why is the electric field perpendicular to the equipotential class 12 physics CBSE