Least Common Multiple of 96/522, 7492/2525

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 96/522, 7492/2525 quickly i.e. 179808 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 96/522, 7492/2525 is 179808.

LCM(96/522, 7492/2525) = 179808

LCM of 96/522, 7492/2525

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 96/522,7492/2525

Given numbers are 96/522,7492/2525

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 96,7492

Least Common Multiple of Numerators i.e. LCM of 96,7492 is 179808.

GCF of Denominators means GCF of 522,2525 as per the given fractions.

GCF of 522,2525 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 96,7492

LCM of Fractions 96/522,7492/2525 is 179808

2 96, 7492
2 48, 3746
24, 1873

∴ So the LCM of the given numbers is 2 x 2 x 24 x 1873 = 179808

Least Common Multiple of 96,7492 with GCF Formula

Least Common Multiple of 96,7492 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 96,7492 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(96,7492) = 4

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

GCF(96,7492) x common factors =4 x 1 = 4

LCM(96,7492) = ( 96 × 7492 ) / 4

LCM(96,7492) = 719232 / 4

LCM(96,7492) = 179808


Lets's calculate GCF of 522,2525

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 179808/1

Therefore the LCM of Fractions 96/522,7492/2525 is 179808

Greatest Common Factor of 522,2525 By Matching Biggest Common Factor Method

Greatest Common Factor of 522,2525 By Matching Biggest Common Factor Method

Factors of 522

List of positive integer factors of 522 that divides 522 without a remainder.

1,2,3,6,9,18,29,58,87,174,261,522

Factors of 2525

List of positive integer factors of 2525 that divides 2525 without a remainder.

1,5,25,101,505,2525

Greatest Common Factor

We found the factors 522,2525 . The biggest common factor number is the GCF number.
So the greatest common factor 522,2525 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 96/522, 7492/2525

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 96/522, 7492/2525?

Answer: LCM of Numerators as per given numbers 96/522, 7492/2525 is

LCM of Numerators i.e. for 96,7492 is 179808

GCF of denominators i.e. for 522,2525 is 1.

Thus, LCM of Fractions is 179808.Finally, LCM of Fractions for 96/522, 7492/2525 is 179808.