Least Common Multiple of 220/71, 508/42, 653/354

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 220/71, 508/42, 653/354 quickly i.e. 18244820 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 220/71, 508/42, 653/354 is 18244820.

LCM(220/71, 508/42, 653/354) = 18244820

LCM of 220/71, 508/42, 653/354

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 220/71,508/42,653/354

Given numbers are 220/71,508/42,653/354

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 220,508,653

Least Common Multiple of Numerators i.e. LCM of 220,508,653 is 18244820.

GCF of Denominators means GCF of 71,42,354 as per the given fractions.

GCF of 71,42,354 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 220,508,653

LCM of Fractions 220/71,508/42,653/354 is 18244820

2 220, 508, 653
2 110, 254, 653
55, 127, 653

∴ So the LCM of the given numbers is 2 x 2 x 55 x 127 x 653 = 18244820

Least Common Multiple of 220,508,653 with GCF Formula

Least Common Multiple of 220,508,653 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 220,508,653 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(220,508,653) = 1

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

GCF(220,508,653) x common factors =1 x 4 = 4

LCM(220,508,653) = ( 220 × 508 × 653 ) / 4

LCM(220,508,653) = 72979280 / 4

LCM(220,508,653) = 18244820


Lets's calculate GCF of 71,42,354

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 18244820/1

Therefore the LCM of Fractions 220/71,508/42,653/354 is 18244820

Greatest Common Factor of 71,42,354 By Matching Biggest Common Factor Method

Greatest Common Factor of 71,42,354 By Matching Biggest Common Factor Method

Factors of 71

List of positive integer factors of 71 that divides 71 without a remainder.

1,71

Factors of 42

List of positive integer factors of 42 that divides 42 without a remainder.

1,2,3,6,7,14,21,42

Factors of 354

List of positive integer factors of 354 that divides 354 without a remainder.

1,2,3,6,59,118,177,354

Greatest Common Factor

We found the factors 71,42,354 . The biggest common factor number is the GCF number.
So the greatest common factor 71,42,354 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 220/71, 508/42, 653/354

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 220/71, 508/42, 653/354?

Answer: LCM of Numerators as per given numbers 220/71, 508/42, 653/354 is

LCM of Numerators i.e. for 220,508,653 is 18244820

GCF of denominators i.e. for 71,42,354 is 1.

Thus, LCM of Fractions is 18244820.Finally, LCM of Fractions for 220/71, 508/42, 653/354 is 18244820.