Least Common Multiple of 9956/267, 4086/5456

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 9956/267, 4086/5456 quickly i.e. 20340108 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 9956/267, 4086/5456 is 20340108.

LCM(9956/267, 4086/5456) = 20340108

LCM of 9956/267, 4086/5456

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 9956/267,4086/5456

Given numbers are 9956/267,4086/5456

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 9956,4086

Least Common Multiple of Numerators i.e. LCM of 9956,4086 is 20340108.

GCF of Denominators means GCF of 267,5456 as per the given fractions.

GCF of 267,5456 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 9956,4086

LCM of Fractions 9956/267,4086/5456 is 20340108

2 9956, 4086
4978, 2043

∴ So the LCM of the given numbers is 2 x 4978 x 2043 = 20340108

Least Common Multiple of 9956,4086 with GCF Formula

Least Common Multiple of 9956,4086 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 9956,4086 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(9956,4086) = 2

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

GCF(9956,4086) x common factors =2 x 1 = 2

LCM(9956,4086) = ( 9956 × 4086 ) / 2

LCM(9956,4086) = 40680216 / 2

LCM(9956,4086) = 20340108


Lets's calculate GCF of 267,5456

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 20340108/1

Therefore the LCM of Fractions 9956/267,4086/5456 is 20340108

Greatest Common Factor of 267,5456 By Matching Biggest Common Factor Method

Greatest Common Factor of 267,5456 By Matching Biggest Common Factor Method

Factors of 267

List of positive integer factors of 267 that divides 267 without a remainder.

1,3,89,267

Factors of 5456

List of positive integer factors of 5456 that divides 5456 without a remainder.

1,2,4,8,11,16,22,31,44,62,88,124,176,248,341,496,682,1364,2728,5456

Greatest Common Factor

We found the factors 267,5456 . The biggest common factor number is the GCF number.
So the greatest common factor 267,5456 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 9956/267, 4086/5456

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 9956/267, 4086/5456?

Answer: LCM of Numerators as per given numbers 9956/267, 4086/5456 is

LCM of Numerators i.e. for 9956,4086 is 20340108

GCF of denominators i.e. for 267,5456 is 1.

Thus, LCM of Fractions is 20340108.Finally, LCM of Fractions for 9956/267, 4086/5456 is 20340108.