Least Common Multiple of 970/838, 745/937, 782/172

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 970/838, 745/937, 782/172 quickly i.e. 56511230 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 970/838, 745/937, 782/172 is 56511230.

LCM(970/838, 745/937, 782/172) = 56511230

LCM of 970/838, 745/937, 782/172

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 970/838,745/937,782/172

Given numbers are 970/838,745/937,782/172

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 970,745,782

Least Common Multiple of Numerators i.e. LCM of 970,745,782 is 56511230.

GCF of Denominators means GCF of 838,937,172 as per the given fractions.

GCF of 838,937,172 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 970,745,782

LCM of Fractions 970/838,745/937,782/172 is 56511230

2 970, 745, 782
5 485, 745, 391
97, 149, 391

∴ So the LCM of the given numbers is 2 x 5 x 97 x 149 x 391 = 56511230

Least Common Multiple of 970,745,782 with GCF Formula

Least Common Multiple of 970,745,782 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 970,745,782 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(970,745,782) = 1

common factors(in case of two or more numbers have common factors) = 10

GCF(970,745,782) x common factors =1 x 10 = 10

LCM(970,745,782) = ( 970 × 745 × 782 ) / 10

LCM(970,745,782) = 565112300 / 10

LCM(970,745,782) = 56511230


Lets's calculate GCF of 838,937,172

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 56511230/1

Therefore the LCM of Fractions 970/838,745/937,782/172 is 56511230

Greatest Common Factor of 838,937,172 By Matching Biggest Common Factor Method

Greatest Common Factor of 838,937,172 By Matching Biggest Common Factor Method

Factors of 838

List of positive integer factors of 838 that divides 838 without a remainder.

1,2,419,838

Factors of 937

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

1,937

Factors of 172

List of positive integer factors of 172 that divides 172 without a remainder.

1,2,4,43,86,172

Greatest Common Factor

We found the factors 838,937,172 . The biggest common factor number is the GCF number.
So the greatest common factor 838,937,172 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 970/838, 745/937, 782/172

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 970/838, 745/937, 782/172?

Answer: LCM of Numerators as per given numbers 970/838, 745/937, 782/172 is

LCM of Numerators i.e. for 970,745,782 is 56511230

GCF of denominators i.e. for 838,937,172 is 1.

Thus, LCM of Fractions is 56511230.Finally, LCM of Fractions for 970/838, 745/937, 782/172 is 56511230.