Least Common Multiple of 20/648, 95/108, 212/574

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 20/648, 95/108, 212/574 quickly i.e. 10070 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 20/648, 95/108, 212/574 is 10070.

LCM(20/648, 95/108, 212/574) = 10070

LCM of 20/648, 95/108, 212/574

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 20/648,95/108,212/574

Given numbers are 20/648,95/108,212/574

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 20,95,212

Least Common Multiple of Numerators i.e. LCM of 20,95,212 is 20140.

GCF of Denominators means GCF of 648,108,574 as per the given fractions.

GCF of 648,108,574 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 20,95,212

LCM of Fractions 20/648,95/108,212/574 is 10070

2 20, 95, 212
2 10, 95, 106
5 5, 95, 53
1, 19, 53

∴ So the LCM of the given numbers is 2 x 2 x 5 x 1 x 19 x 53 = 20140

Least Common Multiple of 20,95,212 with GCF Formula

Least Common Multiple of 20,95,212 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 20,95,212 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(20,95,212) = 1

common factors(in case of two or more numbers have common factors) = 20

GCF(20,95,212) x common factors =1 x 20 = 20

LCM(20,95,212) = ( 20 × 95 × 212 ) / 20

LCM(20,95,212) = 402800 / 20

LCM(20,95,212) = 20140


Lets's calculate GCF of 648,108,574

2 648, 108, 574
324, 54, 287

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 20140/2

Therefore the LCM of Fractions 20/648,95/108,212/574 is 10070

Greatest Common Factor of 648,108,574 By Matching Biggest Common Factor Method

Greatest Common Factor of 648,108,574 By Matching Biggest Common Factor Method

Factors of 648

List of positive integer factors of 648 that divides 648 without a remainder.

1,2,3,4,6,8,9,12,18,24,27,36,54,72,81,108,162,216,324,648

Factors of 108

List of positive integer factors of 108 that divides 108 without a remainder.

1,2,3,4,6,9,12,18,27,36,54,108

Factors of 574

List of positive integer factors of 574 that divides 574 without a remainder.

1,2,7,14,41,82,287,574

Greatest Common Factor

We found the factors 648,108,574 . The biggest common factor number is the GCF number.
So the greatest common factor 648,108,574 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 20/648, 95/108, 212/574

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 20/648, 95/108, 212/574?

Answer: LCM of Numerators as per given numbers 20/648, 95/108, 212/574 is

LCM of Numerators i.e. for 20,95,212 is 20140

GCF of denominators i.e. for 648,108,574 is 2.

Thus, LCM of Fractions is 10070.Finally, LCM of Fractions for 20/648, 95/108, 212/574 is 10070.