Least Common Multiple of 67/976, 40/370, 714/334

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 67/976, 40/370, 714/334 quickly i.e. 478380 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 67/976, 40/370, 714/334 is 478380.

LCM(67/976, 40/370, 714/334) = 478380

LCM of 67/976, 40/370, 714/334

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 67/976,40/370,714/334

Given numbers are 67/976,40/370,714/334

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 67,40,714

Least Common Multiple of Numerators i.e. LCM of 67,40,714 is 956760.

GCF of Denominators means GCF of 976,370,334 as per the given fractions.

GCF of 976,370,334 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 67,40,714

LCM of Fractions 67/976,40/370,714/334 is 478380

2 67, 40, 714
67, 20, 357

∴ So the LCM of the given numbers is 2 x 67 x 20 x 357 = 956760

Least Common Multiple of 67,40,714 with GCF Formula

Least Common Multiple of 67,40,714 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 67,40,714 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(67,40,714) = 1

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

GCF(67,40,714) x common factors =1 x 2 = 2

LCM(67,40,714) = ( 67 × 40 × 714 ) / 2

LCM(67,40,714) = 1913520 / 2

LCM(67,40,714) = 956760


Lets's calculate GCF of 976,370,334

2 976, 370, 334
488, 185, 167

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 956760/2

Therefore the LCM of Fractions 67/976,40/370,714/334 is 478380

Greatest Common Factor of 976,370,334 By Matching Biggest Common Factor Method

Greatest Common Factor of 976,370,334 By Matching Biggest Common Factor Method

Factors of 976

List of positive integer factors of 976 that divides 976 without a remainder.

1,2,4,8,16,61,122,244,488,976

Factors of 370

List of positive integer factors of 370 that divides 370 without a remainder.

1,2,5,10,37,74,185,370

Factors of 334

List of positive integer factors of 334 that divides 334 without a remainder.

1,2,167,334

Greatest Common Factor

We found the factors 976,370,334 . The biggest common factor number is the GCF number.
So the greatest common factor 976,370,334 is 2.


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 67/976, 40/370, 714/334

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 67/976, 40/370, 714/334?

Answer: LCM of Numerators as per given numbers 67/976, 40/370, 714/334 is

LCM of Numerators i.e. for 67,40,714 is 956760

GCF of denominators i.e. for 976,370,334 is 2.

Thus, LCM of Fractions is 478380.Finally, LCM of Fractions for 67/976, 40/370, 714/334 is 478380.