Least Common Multiple of 76/35, 54/850, 220/415

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 76/35, 54/850, 220/415 quickly i.e. 22572 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 76/35, 54/850, 220/415 is 22572.

LCM(76/35, 54/850, 220/415) = 22572

LCM of 76/35, 54/850, 220/415

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 76/35,54/850,220/415

Given numbers are 76/35,54/850,220/415

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 76,54,220

Least Common Multiple of Numerators i.e. LCM of 76,54,220 is 112860.

GCF of Denominators means GCF of 35,850,415 as per the given fractions.

GCF of 35,850,415 is 5 as it is the largest common factor for these numbers.

Lets's calculate LCM of 76,54,220

LCM of Fractions 76/35,54/850,220/415 is 22572

2 76, 54, 220
2 38, 27, 110
19, 27, 55

∴ So the LCM of the given numbers is 2 x 2 x 19 x 27 x 55 = 112860

Least Common Multiple of 76,54,220 with GCF Formula

Least Common Multiple of 76,54,220 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 76,54,220 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(76,54,220) = 2

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

GCF(76,54,220) x common factors =2 x 4 = 8

LCM(76,54,220) = ( 76 × 54 × 220 ) / 8

LCM(76,54,220) = 902880 / 8

LCM(76,54,220) = 112860


Lets's calculate GCF of 35,850,415

5 35, 850, 415
7, 170, 83

∴ So the GCF of the given numbers is 5 = 5

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 112860/5

Therefore the LCM of Fractions 76/35,54/850,220/415 is 22572

Greatest Common Factor of 35,850,415 By Matching Biggest Common Factor Method

Greatest Common Factor of 35,850,415 By Matching Biggest Common Factor Method

Factors of 35

List of positive integer factors of 35 that divides 35 without a remainder.

1,5,7,35

Factors of 850

List of positive integer factors of 850 that divides 850 without a remainder.

1,2,5,10,17,25,34,50,85,170,425,850

Factors of 415

List of positive integer factors of 415 that divides 415 without a remainder.

1,5,83,415

Greatest Common Factor

We found the factors 35,850,415 . The biggest common factor number is the GCF number.
So the greatest common factor 35,850,415 is 5.


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 76/35, 54/850, 220/415

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 76/35, 54/850, 220/415?

Answer: LCM of Numerators as per given numbers 76/35, 54/850, 220/415 is

LCM of Numerators i.e. for 76,54,220 is 112860

GCF of denominators i.e. for 35,850,415 is 5.

Thus, LCM of Fractions is 22572.Finally, LCM of Fractions for 76/35, 54/850, 220/415 is 22572.