Least Common Multiple of 5250/424, 3272/682

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 5250/424, 3272/682 quickly i.e. 4294500 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 5250/424, 3272/682 is 4294500.

LCM(5250/424, 3272/682) = 4294500

LCM of 5250/424, 3272/682

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 5250/424,3272/682

Given numbers are 5250/424,3272/682

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 5250,3272

Least Common Multiple of Numerators i.e. LCM of 5250,3272 is 8589000.

GCF of Denominators means GCF of 424,682 as per the given fractions.

GCF of 424,682 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 5250,3272

LCM of Fractions 5250/424,3272/682 is 4294500

2 5250, 3272
2625, 1636

∴ So the LCM of the given numbers is 2 x 2625 x 1636 = 8589000

Least Common Multiple of 5250,3272 with GCF Formula

Least Common Multiple of 5250,3272 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 5250,3272 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(5250,3272) = 2

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

GCF(5250,3272) x common factors =2 x 1 = 2

LCM(5250,3272) = ( 5250 × 3272 ) / 2

LCM(5250,3272) = 17178000 / 2

LCM(5250,3272) = 8589000


Lets's calculate GCF of 424,682

2 424, 682
212, 341

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 8589000/2

Therefore the LCM of Fractions 5250/424,3272/682 is 4294500

Greatest Common Factor of 424,682 By Matching Biggest Common Factor Method

Greatest Common Factor of 424,682 By Matching Biggest Common Factor Method

Factors of 424

List of positive integer factors of 424 that divides 424 without a remainder.

1,2,4,8,53,106,212,424

Factors of 682

List of positive integer factors of 682 that divides 682 without a remainder.

1,2,11,22,31,62,341,682

Greatest Common Factor

We found the factors 424,682 . The biggest common factor number is the GCF number.
So the greatest common factor 424,682 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 5250/424, 3272/682

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 5250/424, 3272/682?

Answer: LCM of Numerators as per given numbers 5250/424, 3272/682 is

LCM of Numerators i.e. for 5250,3272 is 8589000

GCF of denominators i.e. for 424,682 is 2.

Thus, LCM of Fractions is 4294500.Finally, LCM of Fractions for 5250/424, 3272/682 is 4294500.