Least Common Multiple of 527/11, 621/20, 862/378

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 527/11, 621/20, 862/378 quickly i.e. 282104154 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 527/11, 621/20, 862/378 is 282104154.

LCM(527/11, 621/20, 862/378) = 282104154

LCM of 527/11, 621/20, 862/378

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 527/11,621/20,862/378

Given numbers are 527/11,621/20,862/378

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 527,621,862

Least Common Multiple of Numerators i.e. LCM of 527,621,862 is 282104154.

GCF of Denominators means GCF of 11,20,378 as per the given fractions.

GCF of 11,20,378 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 527,621,862

LCM of Fractions 527/11,621/20,862/378 is 282104154

Given numbers has no common factors except 1. So, there LCM is their product i.e 282104154

Least Common Multiple of 527,621,862 with GCF Formula

Least Common Multiple of 527,621,862 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 527,621,862 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(527,621,862) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(527,621,862) x common factors =1 x 1 = 1

LCM(527,621,862) = ( 527 × 621 × 862 ) / 1

LCM(527,621,862) = 282104154 / 1

LCM(527,621,862) = 282104154


Lets's calculate GCF of 11,20,378

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 282104154/1

Therefore the LCM of Fractions 527/11,621/20,862/378 is 282104154

Greatest Common Factor of 11,20,378 By Matching Biggest Common Factor Method

Greatest Common Factor of 11,20,378 By Matching Biggest Common Factor Method

Factors of 11

List of positive integer factors of 11 that divides 11 without a remainder.

1,11

Factors of 20

List of positive integer factors of 20 that divides 20 without a remainder.

1,2,4,5,10,20

Factors of 378

List of positive integer factors of 378 that divides 378 without a remainder.

1,2,3,6,7,9,14,18,21,27,42,54,63,126,189,378

Greatest Common Factor

We found the factors 11,20,378 . The biggest common factor number is the GCF number.
So the greatest common factor 11,20,378 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 527/11, 621/20, 862/378

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 527/11, 621/20, 862/378?

Answer: LCM of Numerators as per given numbers 527/11, 621/20, 862/378 is

LCM of Numerators i.e. for 527,621,862 is 282104154

GCF of denominators i.e. for 11,20,378 is 1.

Thus, LCM of Fractions is 282104154.Finally, LCM of Fractions for 527/11, 621/20, 862/378 is 282104154.