Least Common Multiple of 492/657, 7749/525

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 492/657, 7749/525 quickly i.e. 10332 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 492/657, 7749/525 is 10332.

LCM(492/657, 7749/525) = 10332

LCM of 492/657, 7749/525

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 492/657,7749/525

Given numbers are 492/657,7749/525

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 492,7749

Least Common Multiple of Numerators i.e. LCM of 492,7749 is 30996.

GCF of Denominators means GCF of 657,525 as per the given fractions.

GCF of 657,525 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 492,7749

LCM of Fractions 492/657,7749/525 is 10332

3 492, 7749
41 164, 2583
4, 63

∴ So the LCM of the given numbers is 3 x 41 x 4 x 63 = 30996

Least Common Multiple of 492,7749 with GCF Formula

Least Common Multiple of 492,7749 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 492,7749 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(492,7749) = 123

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

GCF(492,7749) x common factors =123 x 1 = 123

LCM(492,7749) = ( 492 × 7749 ) / 123

LCM(492,7749) = 3812508 / 123

LCM(492,7749) = 30996


Lets's calculate GCF of 657,525

3 657, 525
219, 175

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 30996/3

Therefore the LCM of Fractions 492/657,7749/525 is 10332

Greatest Common Factor of 657,525 By Matching Biggest Common Factor Method

Greatest Common Factor of 657,525 By Matching Biggest Common Factor Method

Factors of 657

List of positive integer factors of 657 that divides 657 without a remainder.

1,3,9,73,219,657

Factors of 525

List of positive integer factors of 525 that divides 525 without a remainder.

1,3,5,7,15,21,25,35,75,105,175,525

Greatest Common Factor

We found the factors 657,525 . The biggest common factor number is the GCF number.
So the greatest common factor 657,525 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 492/657, 7749/525

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 492/657, 7749/525?

Answer: LCM of Numerators as per given numbers 492/657, 7749/525 is

LCM of Numerators i.e. for 492,7749 is 30996

GCF of denominators i.e. for 657,525 is 3.

Thus, LCM of Fractions is 10332.Finally, LCM of Fractions for 492/657, 7749/525 is 10332.