Least Common Multiple of 2128/868, 9624/497

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 2128/868, 9624/497 quickly i.e. 365712 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 2128/868, 9624/497 is 365712.

LCM(2128/868, 9624/497) = 365712

LCM of 2128/868, 9624/497

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 2128/868,9624/497

Given numbers are 2128/868,9624/497

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 2128,9624

Least Common Multiple of Numerators i.e. LCM of 2128,9624 is 2559984.

GCF of Denominators means GCF of 868,497 as per the given fractions.

GCF of 868,497 is 7 as it is the largest common factor for these numbers.

Lets's calculate LCM of 2128,9624

LCM of Fractions 2128/868,9624/497 is 365712

2 2128, 9624
2 1064, 4812
2 532, 2406
266, 1203

∴ So the LCM of the given numbers is 2 x 2 x 2 x 266 x 1203 = 2559984

Least Common Multiple of 2128,9624 with GCF Formula

Least Common Multiple of 2128,9624 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 2128,9624 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(2128,9624) = 8

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

GCF(2128,9624) x common factors =8 x 1 = 8

LCM(2128,9624) = ( 2128 × 9624 ) / 8

LCM(2128,9624) = 20479872 / 8

LCM(2128,9624) = 2559984


Lets's calculate GCF of 868,497

7 868, 497
124, 71

∴ So the GCF of the given numbers is 7 = 7

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2559984/7

Therefore the LCM of Fractions 2128/868,9624/497 is 365712

Greatest Common Factor of 868,497 By Matching Biggest Common Factor Method

Greatest Common Factor of 868,497 By Matching Biggest Common Factor Method

Factors of 868

List of positive integer factors of 868 that divides 868 without a remainder.

1,2,4,7,14,28,31,62,124,217,434,868

Factors of 497

List of positive integer factors of 497 that divides 497 without a remainder.

1,7,71,497

Greatest Common Factor

We found the factors 868,497 . The biggest common factor number is the GCF number.
So the greatest common factor 868,497 is 7.


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 2128/868, 9624/497

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 2128/868, 9624/497?

Answer: LCM of Numerators as per given numbers 2128/868, 9624/497 is

LCM of Numerators i.e. for 2128,9624 is 2559984

GCF of denominators i.e. for 868,497 is 7.

Thus, LCM of Fractions is 365712.Finally, LCM of Fractions for 2128/868, 9624/497 is 365712.