Least Common Multiple of 8525/676, 8932/9498

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 8525/676, 8932/9498 quickly i.e. 3461150 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 8525/676, 8932/9498 is 3461150.

LCM(8525/676, 8932/9498) = 3461150

LCM of 8525/676, 8932/9498

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 8525/676,8932/9498

Given numbers are 8525/676,8932/9498

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 8525,8932

Least Common Multiple of Numerators i.e. LCM of 8525,8932 is 6922300.

GCF of Denominators means GCF of 676,9498 as per the given fractions.

GCF of 676,9498 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 8525,8932

LCM of Fractions 8525/676,8932/9498 is 3461150

11 8525, 8932
775, 812

∴ So the LCM of the given numbers is 11 x 775 x 812 = 6922300

Least Common Multiple of 8525,8932 with GCF Formula

Least Common Multiple of 8525,8932 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 8525,8932 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(8525,8932) = 11

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

GCF(8525,8932) x common factors =11 x 1 = 11

LCM(8525,8932) = ( 8525 × 8932 ) / 11

LCM(8525,8932) = 76145300 / 11

LCM(8525,8932) = 6922300


Lets's calculate GCF of 676,9498

2 676, 9498
338, 4749

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6922300/2

Therefore the LCM of Fractions 8525/676,8932/9498 is 3461150

Greatest Common Factor of 676,9498 By Matching Biggest Common Factor Method

Greatest Common Factor of 676,9498 By Matching Biggest Common Factor Method

Factors of 676

List of positive integer factors of 676 that divides 676 without a remainder.

1,2,4,13,26,52,169,338,676

Factors of 9498

List of positive integer factors of 9498 that divides 9498 without a remainder.

1,2,3,6,1583,3166,4749,9498

Greatest Common Factor

We found the factors 676,9498 . The biggest common factor number is the GCF number.
So the greatest common factor 676,9498 is 2.


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 8525/676, 8932/9498

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 8525/676, 8932/9498?

Answer: LCM of Numerators as per given numbers 8525/676, 8932/9498 is

LCM of Numerators i.e. for 8525,8932 is 6922300

GCF of denominators i.e. for 676,9498 is 2.

Thus, LCM of Fractions is 3461150.Finally, LCM of Fractions for 8525/676, 8932/9498 is 3461150.