Least Common Multiple of 156/828, 7447/108

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 156/828, 7447/108 quickly i.e. 1161732/36 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 156/828, 7447/108 is 1161732/36.

LCM(156/828, 7447/108) = 1161732/36

LCM of 156/828, 7447/108

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 156/828,7447/108

Given numbers are 156/828,7447/108

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 156,7447

Least Common Multiple of Numerators i.e. LCM of 156,7447 is 1161732.

GCF of Denominators means GCF of 828,108 as per the given fractions.

GCF of 828,108 is 36 as it is the largest common factor for these numbers.

Lets's calculate LCM of 156,7447

LCM of Fractions 156/828,7447/108 is 1161732/36

Given numbers has no common factors except 1. So, there LCM is their product i.e 1161732

Least Common Multiple of 156,7447 with GCF Formula

Least Common Multiple of 156,7447 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 156,7447 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(156,7447) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(156,7447) x common factors =1 x 1 = 1

LCM(156,7447) = ( 156 × 7447 ) / 1

LCM(156,7447) = 1161732 / 1

LCM(156,7447) = 1161732


Lets's calculate GCF of 828,108

2 828, 108
2 414, 54
3 207, 27
3 69, 9
23, 3

∴ So the GCF of the given numbers is 2 x 2 x 3 x 3 = 36

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1161732/36

Therefore the LCM of Fractions 156/828,7447/108 is 1161732/36

Greatest Common Factor of 828,108 By Matching Biggest Common Factor Method

Greatest Common Factor of 828,108 By Matching Biggest Common Factor Method

Factors of 828

List of positive integer factors of 828 that divides 828 without a remainder.

1,2,3,4,6,9,12,18,23,36,46,69,92,138,207,276,414,828

Factors of 108

List of positive integer factors of 108 that divides 108 without a remainder.

1,2,3,4,6,9,12,18,27,36,54,108

Greatest Common Factor

We found the factors 828,108 . The biggest common factor number is the GCF number.
So the greatest common factor 828,108 is 36.


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 156/828, 7447/108

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 156/828, 7447/108?

Answer: LCM of Numerators as per given numbers 156/828, 7447/108 is

LCM of Numerators i.e. for 156,7447 is 1161732

GCF of denominators i.e. for 828,108 is 36.

Thus, LCM of Fractions is 1161732/36.Finally, LCM of Fractions for 156/828, 7447/108 is 1161732/36.