Least Common Multiple of 420/52, 747/62, 882/867

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 420/52, 747/62, 882/867 quickly i.e. 732060 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 420/52, 747/62, 882/867 is 732060.

LCM(420/52, 747/62, 882/867) = 732060

LCM of 420/52, 747/62, 882/867

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 420/52,747/62,882/867

Given numbers are 420/52,747/62,882/867

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 420,747,882

Least Common Multiple of Numerators i.e. LCM of 420,747,882 is 732060.

GCF of Denominators means GCF of 52,62,867 as per the given fractions.

GCF of 52,62,867 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 420,747,882

LCM of Fractions 420/52,747/62,882/867 is 732060

2 420, 747, 882
3 210, 747, 441
3 70, 249, 147
7 70, 83, 49
10, 83, 7

∴ So the LCM of the given numbers is 2 x 3 x 3 x 7 x 10 x 83 x 7 = 732060

Least Common Multiple of 420,747,882 with GCF Formula

Least Common Multiple of 420,747,882 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 420,747,882 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(420,747,882) = 3

common factors(in case of two or more numbers have common factors) = 126

GCF(420,747,882) x common factors =3 x 126 = 378

LCM(420,747,882) = ( 420 × 747 × 882 ) / 378

LCM(420,747,882) = 276718680 / 378

LCM(420,747,882) = 732060


Lets's calculate GCF of 52,62,867

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 732060/1

Therefore the LCM of Fractions 420/52,747/62,882/867 is 732060

Greatest Common Factor of 52,62,867 By Matching Biggest Common Factor Method

Greatest Common Factor of 52,62,867 By Matching Biggest Common Factor Method

Factors of 52

List of positive integer factors of 52 that divides 52 without a remainder.

1,2,4,13,26,52

Factors of 62

List of positive integer factors of 62 that divides 62 without a remainder.

1,2,31,62

Factors of 867

List of positive integer factors of 867 that divides 867 without a remainder.

1,3,17,51,289,867

Greatest Common Factor

We found the factors 52,62,867 . The biggest common factor number is the GCF number.
So the greatest common factor 52,62,867 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 420/52, 747/62, 882/867

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 420/52, 747/62, 882/867?

Answer: LCM of Numerators as per given numbers 420/52, 747/62, 882/867 is

LCM of Numerators i.e. for 420,747,882 is 732060

GCF of denominators i.e. for 52,62,867 is 1.

Thus, LCM of Fractions is 732060.Finally, LCM of Fractions for 420/52, 747/62, 882/867 is 732060.