Least Common Multiple of 2153/153, 7362/6996

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 2153/153, 7362/6996 quickly i.e. 5283462 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 2153/153, 7362/6996 is 5283462.

LCM(2153/153, 7362/6996) = 5283462

LCM of 2153/153, 7362/6996

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 2153/153,7362/6996

Given numbers are 2153/153,7362/6996

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 2153,7362

Least Common Multiple of Numerators i.e. LCM of 2153,7362 is 15850386.

GCF of Denominators means GCF of 153,6996 as per the given fractions.

GCF of 153,6996 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 2153,7362

LCM of Fractions 2153/153,7362/6996 is 5283462

Given numbers has no common factors except 1. So, there LCM is their product i.e 15850386

Least Common Multiple of 2153,7362 with GCF Formula

Least Common Multiple of 2153,7362 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 2153,7362 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(2153,7362) = 1

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

GCF(2153,7362) x common factors =1 x 1 = 1

LCM(2153,7362) = ( 2153 × 7362 ) / 1

LCM(2153,7362) = 15850386 / 1

LCM(2153,7362) = 15850386


Lets's calculate GCF of 153,6996

3 153, 6996
51, 2332

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 15850386/3

Therefore the LCM of Fractions 2153/153,7362/6996 is 5283462

Greatest Common Factor of 153,6996 By Matching Biggest Common Factor Method

Greatest Common Factor of 153,6996 By Matching Biggest Common Factor Method

Factors of 153

List of positive integer factors of 153 that divides 153 without a remainder.

1,3,9,17,51,153

Factors of 6996

List of positive integer factors of 6996 that divides 6996 without a remainder.

1,2,3,4,6,11,12,22,33,44,53,66,106,132,159,212,318,583,636,1166,1749,2332,3498,6996

Greatest Common Factor

We found the factors 153,6996 . The biggest common factor number is the GCF number.
So the greatest common factor 153,6996 is 3.


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 2153/153, 7362/6996

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 2153/153, 7362/6996?

Answer: LCM of Numerators as per given numbers 2153/153, 7362/6996 is

LCM of Numerators i.e. for 2153,7362 is 15850386

GCF of denominators i.e. for 153,6996 is 3.

Thus, LCM of Fractions is 5283462.Finally, LCM of Fractions for 2153/153, 7362/6996 is 5283462.