Least Common Multiple of 62/462, 891/508, 539/378

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 62/462, 891/508, 539/378 quickly i.e. 1353429 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 62/462, 891/508, 539/378 is 1353429.

LCM(62/462, 891/508, 539/378) = 1353429

LCM of 62/462, 891/508, 539/378

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 62/462,891/508,539/378

Given numbers are 62/462,891/508,539/378

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 62,891,539

Least Common Multiple of Numerators i.e. LCM of 62,891,539 is 2706858.

GCF of Denominators means GCF of 462,508,378 as per the given fractions.

GCF of 462,508,378 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 62,891,539

LCM of Fractions 62/462,891/508,539/378 is 1353429

11 62, 891, 539
62, 81, 49

∴ So the LCM of the given numbers is 11 x 62 x 81 x 49 = 2706858

Least Common Multiple of 62,891,539 with GCF Formula

Least Common Multiple of 62,891,539 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 62,891,539 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(62,891,539) = 1

common factors(in case of two or more numbers have common factors) = 11

GCF(62,891,539) x common factors =1 x 11 = 11

LCM(62,891,539) = ( 62 × 891 × 539 ) / 11

LCM(62,891,539) = 29775438 / 11

LCM(62,891,539) = 2706858


Lets's calculate GCF of 462,508,378

2 462, 508, 378
231, 254, 189

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2706858/2

Therefore the LCM of Fractions 62/462,891/508,539/378 is 1353429

Greatest Common Factor of 462,508,378 By Matching Biggest Common Factor Method

Greatest Common Factor of 462,508,378 By Matching Biggest Common Factor Method

Factors of 462

List of positive integer factors of 462 that divides 462 without a remainder.

1,2,3,6,7,11,14,21,22,33,42,66,77,154,231,462

Factors of 508

List of positive integer factors of 508 that divides 508 without a remainder.

1,2,4,127,254,508

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 462,508,378 . The biggest common factor number is the GCF number.
So the greatest common factor 462,508,378 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 62/462, 891/508, 539/378

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 62/462, 891/508, 539/378?

Answer: LCM of Numerators as per given numbers 62/462, 891/508, 539/378 is

LCM of Numerators i.e. for 62,891,539 is 2706858

GCF of denominators i.e. for 462,508,378 is 2.

Thus, LCM of Fractions is 1353429.Finally, LCM of Fractions for 62/462, 891/508, 539/378 is 1353429.