Least Common Multiple of 56/156, 168/827, 298/183

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 56/156, 168/827, 298/183 quickly i.e. 25032 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 56/156, 168/827, 298/183 is 25032.

LCM(56/156, 168/827, 298/183) = 25032

LCM of 56/156, 168/827, 298/183

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 56/156,168/827,298/183

Given numbers are 56/156,168/827,298/183

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 56,168,298

Least Common Multiple of Numerators i.e. LCM of 56,168,298 is 25032.

GCF of Denominators means GCF of 156,827,183 as per the given fractions.

GCF of 156,827,183 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 56,168,298

LCM of Fractions 56/156,168/827,298/183 is 25032

2 56, 168, 298
2 28, 84, 149
2 14, 42, 149
7 7, 21, 149
1, 3, 149

∴ So the LCM of the given numbers is 2 x 2 x 2 x 7 x 1 x 3 x 149 = 25032

Least Common Multiple of 56,168,298 with GCF Formula

Least Common Multiple of 56,168,298 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 56,168,298 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(56,168,298) = 2

common factors(in case of two or more numbers have common factors) = 56

GCF(56,168,298) x common factors =2 x 56 = 112

LCM(56,168,298) = ( 56 × 168 × 298 ) / 112

LCM(56,168,298) = 2803584 / 112

LCM(56,168,298) = 25032


Lets's calculate GCF of 156,827,183

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 25032/1

Therefore the LCM of Fractions 56/156,168/827,298/183 is 25032

Greatest Common Factor of 156,827,183 By Matching Biggest Common Factor Method

Greatest Common Factor of 156,827,183 By Matching Biggest Common Factor Method

Factors of 156

List of positive integer factors of 156 that divides 156 without a remainder.

1,2,3,4,6,12,13,26,39,52,78,156

Factors of 827

List of positive integer factors of 827 that divides 827 without a remainder.

1,827

Factors of 183

List of positive integer factors of 183 that divides 183 without a remainder.

1,3,61,183

Greatest Common Factor

We found the factors 156,827,183 . The biggest common factor number is the GCF number.
So the greatest common factor 156,827,183 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 56/156, 168/827, 298/183

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 56/156, 168/827, 298/183?

Answer: LCM of Numerators as per given numbers 56/156, 168/827, 298/183 is

LCM of Numerators i.e. for 56,168,298 is 25032

GCF of denominators i.e. for 156,827,183 is 1.

Thus, LCM of Fractions is 25032.Finally, LCM of Fractions for 56/156, 168/827, 298/183 is 25032.