Least Common Multiple of 9250/875, 9124/705

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 9250/875, 9124/705 quickly i.e. 8439700 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 9250/875, 9124/705 is 8439700.

LCM(9250/875, 9124/705) = 8439700

LCM of 9250/875, 9124/705

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 9250/875,9124/705

Given numbers are 9250/875,9124/705

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 9250,9124

Least Common Multiple of Numerators i.e. LCM of 9250,9124 is 42198500.

GCF of Denominators means GCF of 875,705 as per the given fractions.

GCF of 875,705 is 5 as it is the largest common factor for these numbers.

Lets's calculate LCM of 9250,9124

LCM of Fractions 9250/875,9124/705 is 8439700

2 9250, 9124
4625, 4562

∴ So the LCM of the given numbers is 2 x 4625 x 4562 = 42198500

Least Common Multiple of 9250,9124 with GCF Formula

Least Common Multiple of 9250,9124 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 9250,9124 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(9250,9124) = 2

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

GCF(9250,9124) x common factors =2 x 1 = 2

LCM(9250,9124) = ( 9250 × 9124 ) / 2

LCM(9250,9124) = 84397000 / 2

LCM(9250,9124) = 42198500


Lets's calculate GCF of 875,705

5 875, 705
175, 141

∴ So the GCF of the given numbers is 5 = 5

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 42198500/5

Therefore the LCM of Fractions 9250/875,9124/705 is 8439700

Greatest Common Factor of 875,705 By Matching Biggest Common Factor Method

Greatest Common Factor of 875,705 By Matching Biggest Common Factor Method

Factors of 875

List of positive integer factors of 875 that divides 875 without a remainder.

1,5,7,25,35,125,175,875

Factors of 705

List of positive integer factors of 705 that divides 705 without a remainder.

1,3,5,15,47,141,235,705

Greatest Common Factor

We found the factors 875,705 . The biggest common factor number is the GCF number.
So the greatest common factor 875,705 is 5.


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 9250/875, 9124/705

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 9250/875, 9124/705?

Answer: LCM of Numerators as per given numbers 9250/875, 9124/705 is

LCM of Numerators i.e. for 9250,9124 is 42198500

GCF of denominators i.e. for 875,705 is 5.

Thus, LCM of Fractions is 8439700.Finally, LCM of Fractions for 9250/875, 9124/705 is 8439700.