Least Common Multiple of 1250/524, 8678/850

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 1250/524, 8678/850 quickly i.e. 2711875 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 1250/524, 8678/850 is 2711875.

LCM(1250/524, 8678/850) = 2711875

LCM of 1250/524, 8678/850

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 1250/524,8678/850

Given numbers are 1250/524,8678/850

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 1250,8678

Least Common Multiple of Numerators i.e. LCM of 1250,8678 is 5423750.

GCF of Denominators means GCF of 524,850 as per the given fractions.

GCF of 524,850 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 1250,8678

LCM of Fractions 1250/524,8678/850 is 2711875

2 1250, 8678
625, 4339

∴ So the LCM of the given numbers is 2 x 625 x 4339 = 5423750

Least Common Multiple of 1250,8678 with GCF Formula

Least Common Multiple of 1250,8678 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 1250,8678 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(1250,8678) = 2

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

GCF(1250,8678) x common factors =2 x 1 = 2

LCM(1250,8678) = ( 1250 × 8678 ) / 2

LCM(1250,8678) = 10847500 / 2

LCM(1250,8678) = 5423750


Lets's calculate GCF of 524,850

2 524, 850
262, 425

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5423750/2

Therefore the LCM of Fractions 1250/524,8678/850 is 2711875

Greatest Common Factor of 524,850 By Matching Biggest Common Factor Method

Greatest Common Factor of 524,850 By Matching Biggest Common Factor Method

Factors of 524

List of positive integer factors of 524 that divides 524 without a remainder.

1,2,4,131,262,524

Factors of 850

List of positive integer factors of 850 that divides 850 without a remainder.

1,2,5,10,17,25,34,50,85,170,425,850

Greatest Common Factor

We found the factors 524,850 . The biggest common factor number is the GCF number.
So the greatest common factor 524,850 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 1250/524, 8678/850

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 1250/524, 8678/850?

Answer: LCM of Numerators as per given numbers 1250/524, 8678/850 is

LCM of Numerators i.e. for 1250,8678 is 5423750

GCF of denominators i.e. for 524,850 is 2.

Thus, LCM of Fractions is 2711875.Finally, LCM of Fractions for 1250/524, 8678/850 is 2711875.