Least Common Multiple of 62/352, 916/937, 340/972

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 62/352, 916/937, 340/972 quickly i.e. 2413660 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 62/352, 916/937, 340/972 is 2413660.

LCM(62/352, 916/937, 340/972) = 2413660

LCM of 62/352, 916/937, 340/972

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

LCM of:

Least Common Multiple of 62/352,916/937,340/972

Given numbers are 62/352,916/937,340/972

Formula to find LCM of Fractions is

LCM = LCM of Numerators/GCF of Denominators

As per the formula LCM of Fractions let’s split into two parts and find the LCM of Numerators and GCF of Denominators

In the given fractions LCM of Numerators means LCM of 62,916,340

Least Common Multiple of Numerators i.e. LCM of 62,916,340 is 2413660.

GCF of Denominators means GCF of 352,937,972 as per the given fractions.

GCF of 352,937,972 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 62,916,340

LCM of Fractions 62/352,916/937,340/972 is 2413660

2 62, 916, 340
2 31, 458, 170
31, 229, 85

∴ So the LCM of the given numbers is 2 x 2 x 31 x 229 x 85 = 2413660

Least Common Multiple of 62,916,340 with GCF Formula

Least Common Multiple of 62,916,340 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 62,916,340 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(62,916,340) = 2

common factors(in case of two or more numbers have common factors) = 4

GCF(62,916,340) x common factors =2 x 4 = 8

LCM(62,916,340) = ( 62 × 916 × 340 ) / 8

LCM(62,916,340) = 19309280 / 8

LCM(62,916,340) = 2413660


Lets's calculate GCF of 352,937,972

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2413660/1

Therefore the LCM of Fractions 62/352,916/937,340/972 is 2413660

Greatest Common Factor of 352,937,972 By Matching Biggest Common Factor Method

Greatest Common Factor of 352,937,972 By Matching Biggest Common Factor Method

Factors of 352

List of positive integer factors of 352 that divides 352 without a remainder.

1,2,4,8,11,16,22,32,44,88,176,352

Factors of 937

List of positive integer factors of 937 that divides 937 without a remainder.

1,937

Factors of 972

List of positive integer factors of 972 that divides 972 without a remainder.

1,2,3,4,6,9,12,18,27,36,54,81,108,162,243,324,486,972

Greatest Common Factor

We found the factors 352,937,972 . The biggest common factor number is the GCF number.
So the greatest common factor 352,937,972 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

Frequently Asked Questions on Fractional LCM of 62/352, 916/937, 340/972

1. How to find LCM in Fractions?

Answer: LCM of fractions can be found using the simple formula LCM of Fractions = LCM of Numerators/GCF of Denominators.

2. What is the LCM of Fractions for 62/352, 916/937, 340/972?

Answer: LCM of Numerators as per given numbers 62/352, 916/937, 340/972 is

LCM of Numerators i.e. for 62,916,340 is 2413660

GCF of denominators i.e. for 352,937,972 is 1.

Thus, LCM of Fractions is 2413660.Finally, LCM of Fractions for 62/352, 916/937, 340/972 is 2413660.