Least Common Multiple of 153/105, 7140/544

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 153/105, 7140/544 quickly i.e. 21420 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 153/105, 7140/544 is 21420.

LCM(153/105, 7140/544) = 21420

LCM of 153/105, 7140/544

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 153/105,7140/544

Given numbers are 153/105,7140/544

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 153,7140

Least Common Multiple of Numerators i.e. LCM of 153,7140 is 21420.

GCF of Denominators means GCF of 105,544 as per the given fractions.

GCF of 105,544 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 153,7140

LCM of Fractions 153/105,7140/544 is 21420

3 153, 7140
17 51, 2380
3, 140

∴ So the LCM of the given numbers is 3 x 17 x 3 x 140 = 21420

Least Common Multiple of 153,7140 with GCF Formula

Least Common Multiple of 153,7140 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 153,7140 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(153,7140) = 51

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

GCF(153,7140) x common factors =51 x 1 = 51

LCM(153,7140) = ( 153 × 7140 ) / 51

LCM(153,7140) = 1092420 / 51

LCM(153,7140) = 21420


Lets's calculate GCF of 105,544

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 21420/1

Therefore the LCM of Fractions 153/105,7140/544 is 21420

Greatest Common Factor of 105,544 By Matching Biggest Common Factor Method

Greatest Common Factor of 105,544 By Matching Biggest Common Factor Method

Factors of 105

List of positive integer factors of 105 that divides 105 without a remainder.

1,3,5,7,15,21,35,105

Factors of 544

List of positive integer factors of 544 that divides 544 without a remainder.

1,2,4,8,16,17,32,34,68,136,272,544

Greatest Common Factor

We found the factors 105,544 . The biggest common factor number is the GCF number.
So the greatest common factor 105,544 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 153/105, 7140/544

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 153/105, 7140/544?

Answer: LCM of Numerators as per given numbers 153/105, 7140/544 is

LCM of Numerators i.e. for 153,7140 is 21420

GCF of denominators i.e. for 105,544 is 1.

Thus, LCM of Fractions is 21420.Finally, LCM of Fractions for 153/105, 7140/544 is 21420.