Least Common Multiple of 970/356, 347/192, 934/316

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 970/356, 347/192, 934/316 quickly i.e. 157187530/4 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 970/356, 347/192, 934/316 is 157187530/4.

LCM(970/356, 347/192, 934/316) = 157187530/4

LCM of 970/356, 347/192, 934/316

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 970/356,347/192,934/316

Given numbers are 970/356,347/192,934/316

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 970,347,934

Least Common Multiple of Numerators i.e. LCM of 970,347,934 is 157187530.

GCF of Denominators means GCF of 356,192,316 as per the given fractions.

GCF of 356,192,316 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 970,347,934

LCM of Fractions 970/356,347/192,934/316 is 157187530/4

2 970, 347, 934
485, 347, 467

∴ So the LCM of the given numbers is 2 x 485 x 347 x 467 = 157187530

Least Common Multiple of 970,347,934 with GCF Formula

Least Common Multiple of 970,347,934 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 970,347,934 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(970,347,934) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(970,347,934) x common factors =1 x 2 = 2

LCM(970,347,934) = ( 970 × 347 × 934 ) / 2

LCM(970,347,934) = 314375060 / 2

LCM(970,347,934) = 157187530


Lets's calculate GCF of 356,192,316

2 356, 192, 316
2 178, 96, 158
89, 48, 79

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 157187530/4

Therefore the LCM of Fractions 970/356,347/192,934/316 is 157187530/4

Greatest Common Factor of 356,192,316 By Matching Biggest Common Factor Method

Greatest Common Factor of 356,192,316 By Matching Biggest Common Factor Method

Factors of 356

List of positive integer factors of 356 that divides 356 without a remainder.

1,2,4,89,178,356

Factors of 192

List of positive integer factors of 192 that divides 192 without a remainder.

1,2,3,4,6,8,12,16,24,32,48,64,96,192

Factors of 316

List of positive integer factors of 316 that divides 316 without a remainder.

1,2,4,79,158,316

Greatest Common Factor

We found the factors 356,192,316 . The biggest common factor number is the GCF number.
So the greatest common factor 356,192,316 is 4.


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 970/356, 347/192, 934/316

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 970/356, 347/192, 934/316?

Answer: LCM of Numerators as per given numbers 970/356, 347/192, 934/316 is

LCM of Numerators i.e. for 970,347,934 is 157187530

GCF of denominators i.e. for 356,192,316 is 4.

Thus, LCM of Fractions is 157187530/4.Finally, LCM of Fractions for 970/356, 347/192, 934/316 is 157187530/4.