Least Common Multiple of 151/22, 714/78, 620/676

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 151/22, 714/78, 620/676 quickly i.e. 16711170 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 151/22, 714/78, 620/676 is 16711170.

LCM(151/22, 714/78, 620/676) = 16711170

LCM of 151/22, 714/78, 620/676

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 151/22,714/78,620/676

Given numbers are 151/22,714/78,620/676

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 151,714,620

Least Common Multiple of Numerators i.e. LCM of 151,714,620 is 33422340.

GCF of Denominators means GCF of 22,78,676 as per the given fractions.

GCF of 22,78,676 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 151,714,620

LCM of Fractions 151/22,714/78,620/676 is 16711170

2 151, 714, 620
151, 357, 310

∴ So the LCM of the given numbers is 2 x 151 x 357 x 310 = 33422340

Least Common Multiple of 151,714,620 with GCF Formula

Least Common Multiple of 151,714,620 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 151,714,620 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(151,714,620) = 1

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

GCF(151,714,620) x common factors =1 x 2 = 2

LCM(151,714,620) = ( 151 × 714 × 620 ) / 2

LCM(151,714,620) = 66844680 / 2

LCM(151,714,620) = 33422340


Lets's calculate GCF of 22,78,676

2 22, 78, 676
11, 39, 338

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 33422340/2

Therefore the LCM of Fractions 151/22,714/78,620/676 is 16711170

Greatest Common Factor of 22,78,676 By Matching Biggest Common Factor Method

Greatest Common Factor of 22,78,676 By Matching Biggest Common Factor Method

Factors of 22

List of positive integer factors of 22 that divides 22 without a remainder.

1,2,11,22

Factors of 78

List of positive integer factors of 78 that divides 78 without a remainder.

1,2,3,6,13,26,39,78

Factors of 676

List of positive integer factors of 676 that divides 676 without a remainder.

1,2,4,13,26,52,169,338,676

Greatest Common Factor

We found the factors 22,78,676 . The biggest common factor number is the GCF number.
So the greatest common factor 22,78,676 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 151/22, 714/78, 620/676

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 151/22, 714/78, 620/676?

Answer: LCM of Numerators as per given numbers 151/22, 714/78, 620/676 is

LCM of Numerators i.e. for 151,714,620 is 33422340

GCF of denominators i.e. for 22,78,676 is 2.

Thus, LCM of Fractions is 16711170.Finally, LCM of Fractions for 151/22, 714/78, 620/676 is 16711170.