Least Common Multiple of 56/81, 260/67, 175/696

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 56/81, 260/67, 175/696 quickly i.e. 18200 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 56/81, 260/67, 175/696 is 18200.

LCM(56/81, 260/67, 175/696) = 18200

LCM of 56/81, 260/67, 175/696

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 56/81,260/67,175/696

Given numbers are 56/81,260/67,175/696

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 56,260,175

Least Common Multiple of Numerators i.e. LCM of 56,260,175 is 18200.

GCF of Denominators means GCF of 81,67,696 as per the given fractions.

GCF of 81,67,696 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 56,260,175

LCM of Fractions 56/81,260/67,175/696 is 18200

2 56, 260, 175
2 28, 130, 175
5 14, 65, 175
7 14, 13, 35
2, 13, 5

∴ So the LCM of the given numbers is 2 x 2 x 5 x 7 x 2 x 13 x 5 = 18200

Least Common Multiple of 56,260,175 with GCF Formula

Least Common Multiple of 56,260,175 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 56,260,175 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(56,260,175) = 1

common factors(in case of two or more numbers have common factors) = 140

GCF(56,260,175) x common factors =1 x 140 = 140

LCM(56,260,175) = ( 56 × 260 × 175 ) / 140

LCM(56,260,175) = 2548000 / 140

LCM(56,260,175) = 18200


Lets's calculate GCF of 81,67,696

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 18200/1

Therefore the LCM of Fractions 56/81,260/67,175/696 is 18200

Greatest Common Factor of 81,67,696 By Matching Biggest Common Factor Method

Greatest Common Factor of 81,67,696 By Matching Biggest Common Factor Method

Factors of 81

List of positive integer factors of 81 that divides 81 without a remainder.

1,3,9,27,81

Factors of 67

List of positive integer factors of 67 that divides 67 without a remainder.

1,67

Factors of 696

List of positive integer factors of 696 that divides 696 without a remainder.

1,2,3,4,6,8,12,24,29,58,87,116,174,232,348,696

Greatest Common Factor

We found the factors 81,67,696 . The biggest common factor number is the GCF number.
So the greatest common factor 81,67,696 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 56/81, 260/67, 175/696

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 56/81, 260/67, 175/696?

Answer: LCM of Numerators as per given numbers 56/81, 260/67, 175/696 is

LCM of Numerators i.e. for 56,260,175 is 18200

GCF of denominators i.e. for 81,67,696 is 1.

Thus, LCM of Fractions is 18200.Finally, LCM of Fractions for 56/81, 260/67, 175/696 is 18200.