Least Common Multiple of 8489/24, 8952/426

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 8489/24, 8952/426 quickly i.e. 12665588 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 8489/24, 8952/426 is 12665588.

LCM(8489/24, 8952/426) = 12665588

LCM of 8489/24, 8952/426

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 8489/24,8952/426

Given numbers are 8489/24,8952/426

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 8489,8952

Least Common Multiple of Numerators i.e. LCM of 8489,8952 is 75993528.

GCF of Denominators means GCF of 24,426 as per the given fractions.

GCF of 24,426 is 6 as it is the largest common factor for these numbers.

Lets's calculate LCM of 8489,8952

LCM of Fractions 8489/24,8952/426 is 12665588

Given numbers has no common factors except 1. So, there LCM is their product i.e 75993528

Least Common Multiple of 8489,8952 with GCF Formula

Least Common Multiple of 8489,8952 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 8489,8952 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(8489,8952) = 1

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

GCF(8489,8952) x common factors =1 x 1 = 1

LCM(8489,8952) = ( 8489 × 8952 ) / 1

LCM(8489,8952) = 75993528 / 1

LCM(8489,8952) = 75993528


Lets's calculate GCF of 24,426

2 24, 426
3 12, 213
4, 71

∴ So the GCF of the given numbers is 2 x 3 = 6

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 75993528/6

Therefore the LCM of Fractions 8489/24,8952/426 is 12665588

Greatest Common Factor of 24,426 By Matching Biggest Common Factor Method

Greatest Common Factor of 24,426 By Matching Biggest Common Factor Method

Factors of 24

List of positive integer factors of 24 that divides 24 without a remainder.

1,2,3,4,6,8,12,24

Factors of 426

List of positive integer factors of 426 that divides 426 without a remainder.

1,2,3,6,71,142,213,426

Greatest Common Factor

We found the factors 24,426 . The biggest common factor number is the GCF number.
So the greatest common factor 24,426 is 6.


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 8489/24, 8952/426

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 8489/24, 8952/426?

Answer: LCM of Numerators as per given numbers 8489/24, 8952/426 is

LCM of Numerators i.e. for 8489,8952 is 75993528

GCF of denominators i.e. for 24,426 is 6.

Thus, LCM of Fractions is 12665588.Finally, LCM of Fractions for 8489/24, 8952/426 is 12665588.