Least Common Multiple of 36/461, 34/979, 364/519

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 36/461, 34/979, 364/519 quickly i.e. 55692 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 36/461, 34/979, 364/519 is 55692.

LCM(36/461, 34/979, 364/519) = 55692

LCM of 36/461, 34/979, 364/519

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 36/461,34/979,364/519

Given numbers are 36/461,34/979,364/519

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 36,34,364

Least Common Multiple of Numerators i.e. LCM of 36,34,364 is 55692.

GCF of Denominators means GCF of 461,979,519 as per the given fractions.

GCF of 461,979,519 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 36,34,364

LCM of Fractions 36/461,34/979,364/519 is 55692

2 36, 34, 364
2 18, 17, 182
9, 17, 91

∴ So the LCM of the given numbers is 2 x 2 x 9 x 17 x 91 = 55692

Least Common Multiple of 36,34,364 with GCF Formula

Least Common Multiple of 36,34,364 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 36,34,364 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(36,34,364) = 2

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

GCF(36,34,364) x common factors =2 x 4 = 8

LCM(36,34,364) = ( 36 × 34 × 364 ) / 8

LCM(36,34,364) = 445536 / 8

LCM(36,34,364) = 55692


Lets's calculate GCF of 461,979,519

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 55692/1

Therefore the LCM of Fractions 36/461,34/979,364/519 is 55692

Greatest Common Factor of 461,979,519 By Matching Biggest Common Factor Method

Greatest Common Factor of 461,979,519 By Matching Biggest Common Factor Method

Factors of 461

List of positive integer factors of 461 that divides 461 without a remainder.

1,461

Factors of 979

List of positive integer factors of 979 that divides 979 without a remainder.

1,11,89,979

Factors of 519

List of positive integer factors of 519 that divides 519 without a remainder.

1,3,173,519

Greatest Common Factor

We found the factors 461,979,519 . The biggest common factor number is the GCF number.
So the greatest common factor 461,979,519 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 36/461, 34/979, 364/519

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 36/461, 34/979, 364/519?

Answer: LCM of Numerators as per given numbers 36/461, 34/979, 364/519 is

LCM of Numerators i.e. for 36,34,364 is 55692

GCF of denominators i.e. for 461,979,519 is 1.

Thus, LCM of Fractions is 55692.Finally, LCM of Fractions for 36/461, 34/979, 364/519 is 55692.