Least Common Multiple of 56/261, 20/452, 829/104

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 56/261, 20/452, 829/104 quickly i.e. 232120 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 56/261, 20/452, 829/104 is 232120.

LCM(56/261, 20/452, 829/104) = 232120

LCM of 56/261, 20/452, 829/104

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 56/261,20/452,829/104

Given numbers are 56/261,20/452,829/104

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 56,20,829

Least Common Multiple of Numerators i.e. LCM of 56,20,829 is 232120.

GCF of Denominators means GCF of 261,452,104 as per the given fractions.

GCF of 261,452,104 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 56,20,829

LCM of Fractions 56/261,20/452,829/104 is 232120

2 56, 20, 829
2 28, 10, 829
14, 5, 829

∴ So the LCM of the given numbers is 2 x 2 x 14 x 5 x 829 = 232120

Least Common Multiple of 56,20,829 with GCF Formula

Least Common Multiple of 56,20,829 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 56,20,829 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(56,20,829) = 1

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

GCF(56,20,829) x common factors =1 x 4 = 4

LCM(56,20,829) = ( 56 × 20 × 829 ) / 4

LCM(56,20,829) = 928480 / 4

LCM(56,20,829) = 232120


Lets's calculate GCF of 261,452,104

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 232120/1

Therefore the LCM of Fractions 56/261,20/452,829/104 is 232120

Greatest Common Factor of 261,452,104 By Matching Biggest Common Factor Method

Greatest Common Factor of 261,452,104 By Matching Biggest Common Factor Method

Factors of 261

List of positive integer factors of 261 that divides 261 without a remainder.

1,3,9,29,87,261

Factors of 452

List of positive integer factors of 452 that divides 452 without a remainder.

1,2,4,113,226,452

Factors of 104

List of positive integer factors of 104 that divides 104 without a remainder.

1,2,4,8,13,26,52,104

Greatest Common Factor

We found the factors 261,452,104 . The biggest common factor number is the GCF number.
So the greatest common factor 261,452,104 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 56/261, 20/452, 829/104

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 56/261, 20/452, 829/104?

Answer: LCM of Numerators as per given numbers 56/261, 20/452, 829/104 is

LCM of Numerators i.e. for 56,20,829 is 232120

GCF of denominators i.e. for 261,452,104 is 1.

Thus, LCM of Fractions is 232120.Finally, LCM of Fractions for 56/261, 20/452, 829/104 is 232120.