Least Common Multiple of 51/536, 7365/9572

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 51/536, 7365/9572 quickly i.e. 125205/4 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 51/536, 7365/9572 is 125205/4.

LCM(51/536, 7365/9572) = 125205/4

LCM of 51/536, 7365/9572

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 51/536,7365/9572

Given numbers are 51/536,7365/9572

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 51,7365

Least Common Multiple of Numerators i.e. LCM of 51,7365 is 125205.

GCF of Denominators means GCF of 536,9572 as per the given fractions.

GCF of 536,9572 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 51,7365

LCM of Fractions 51/536,7365/9572 is 125205/4

3 51, 7365
17, 2455

∴ So the LCM of the given numbers is 3 x 17 x 2455 = 125205

Least Common Multiple of 51,7365 with GCF Formula

Least Common Multiple of 51,7365 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 51,7365 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(51,7365) = 3

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

GCF(51,7365) x common factors =3 x 1 = 3

LCM(51,7365) = ( 51 × 7365 ) / 3

LCM(51,7365) = 375615 / 3

LCM(51,7365) = 125205


Lets's calculate GCF of 536,9572

2 536, 9572
2 268, 4786
134, 2393

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 125205/4

Therefore the LCM of Fractions 51/536,7365/9572 is 125205/4

Greatest Common Factor of 536,9572 By Matching Biggest Common Factor Method

Greatest Common Factor of 536,9572 By Matching Biggest Common Factor Method

Factors of 536

List of positive integer factors of 536 that divides 536 without a remainder.

1,2,4,8,67,134,268,536

Factors of 9572

List of positive integer factors of 9572 that divides 9572 without a remainder.

1,2,4,2393,4786,9572

Greatest Common Factor

We found the factors 536,9572 . The biggest common factor number is the GCF number.
So the greatest common factor 536,9572 is 4.


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 51/536, 7365/9572

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 51/536, 7365/9572?

Answer: LCM of Numerators as per given numbers 51/536, 7365/9572 is

LCM of Numerators i.e. for 51,7365 is 125205

GCF of denominators i.e. for 536,9572 is 4.

Thus, LCM of Fractions is 125205/4.Finally, LCM of Fractions for 51/536, 7365/9572 is 125205/4.