Least Common Multiple of 87/649, 3246/2401

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 87/649, 3246/2401 quickly i.e. 94134 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 87/649, 3246/2401 is 94134.

LCM(87/649, 3246/2401) = 94134

LCM of 87/649, 3246/2401

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 87/649,3246/2401

Given numbers are 87/649,3246/2401

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 87,3246

Least Common Multiple of Numerators i.e. LCM of 87,3246 is 94134.

GCF of Denominators means GCF of 649,2401 as per the given fractions.

GCF of 649,2401 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 87,3246

LCM of Fractions 87/649,3246/2401 is 94134

3 87, 3246
29, 1082

∴ So the LCM of the given numbers is 3 x 29 x 1082 = 94134

Least Common Multiple of 87,3246 with GCF Formula

Least Common Multiple of 87,3246 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 87,3246 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(87,3246) = 3

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

GCF(87,3246) x common factors =3 x 1 = 3

LCM(87,3246) = ( 87 × 3246 ) / 3

LCM(87,3246) = 282402 / 3

LCM(87,3246) = 94134


Lets's calculate GCF of 649,2401

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 94134/1

Therefore the LCM of Fractions 87/649,3246/2401 is 94134

Greatest Common Factor of 649,2401 By Matching Biggest Common Factor Method

Greatest Common Factor of 649,2401 By Matching Biggest Common Factor Method

Factors of 649

List of positive integer factors of 649 that divides 649 without a remainder.

1,11,59,649

Factors of 2401

List of positive integer factors of 2401 that divides 2401 without a remainder.

1,7,49,343,2401

Greatest Common Factor

We found the factors 649,2401 . The biggest common factor number is the GCF number.
So the greatest common factor 649,2401 is 1.


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 87/649, 3246/2401

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 87/649, 3246/2401?

Answer: LCM of Numerators as per given numbers 87/649, 3246/2401 is

LCM of Numerators i.e. for 87,3246 is 94134

GCF of denominators i.e. for 649,2401 is 1.

Thus, LCM of Fractions is 94134.Finally, LCM of Fractions for 87/649, 3246/2401 is 94134.