Least Common Multiple of 5638/938, 8580/7248

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 5638/938, 8580/7248 quickly i.e. 12093510 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 5638/938, 8580/7248 is 12093510.

LCM(5638/938, 8580/7248) = 12093510

LCM of 5638/938, 8580/7248

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 5638/938,8580/7248

Given numbers are 5638/938,8580/7248

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 5638,8580

Least Common Multiple of Numerators i.e. LCM of 5638,8580 is 24187020.

GCF of Denominators means GCF of 938,7248 as per the given fractions.

GCF of 938,7248 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 5638,8580

LCM of Fractions 5638/938,8580/7248 is 12093510

2 5638, 8580
2819, 4290

∴ So the LCM of the given numbers is 2 x 2819 x 4290 = 24187020

Least Common Multiple of 5638,8580 with GCF Formula

Least Common Multiple of 5638,8580 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 5638,8580 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(5638,8580) = 2

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

GCF(5638,8580) x common factors =2 x 1 = 2

LCM(5638,8580) = ( 5638 × 8580 ) / 2

LCM(5638,8580) = 48374040 / 2

LCM(5638,8580) = 24187020


Lets's calculate GCF of 938,7248

2 938, 7248
469, 3624

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 24187020/2

Therefore the LCM of Fractions 5638/938,8580/7248 is 12093510

Greatest Common Factor of 938,7248 By Matching Biggest Common Factor Method

Greatest Common Factor of 938,7248 By Matching Biggest Common Factor Method

Factors of 938

List of positive integer factors of 938 that divides 938 without a remainder.

1,2,7,14,67,134,469,938

Factors of 7248

List of positive integer factors of 7248 that divides 7248 without a remainder.

1,2,3,4,6,8,12,16,24,48,151,302,453,604,906,1208,1812,2416,3624,7248

Greatest Common Factor

We found the factors 938,7248 . The biggest common factor number is the GCF number.
So the greatest common factor 938,7248 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 5638/938, 8580/7248

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 5638/938, 8580/7248?

Answer: LCM of Numerators as per given numbers 5638/938, 8580/7248 is

LCM of Numerators i.e. for 5638,8580 is 24187020

GCF of denominators i.e. for 938,7248 is 2.

Thus, LCM of Fractions is 12093510.Finally, LCM of Fractions for 5638/938, 8580/7248 is 12093510.