Least Common Multiple of 6423/40, 6876/658

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 6423/40, 6876/658 quickly i.e. 7360758 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 6423/40, 6876/658 is 7360758.

LCM(6423/40, 6876/658) = 7360758

LCM of 6423/40, 6876/658

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 6423/40,6876/658

Given numbers are 6423/40,6876/658

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 6423,6876

Least Common Multiple of Numerators i.e. LCM of 6423,6876 is 14721516.

GCF of Denominators means GCF of 40,658 as per the given fractions.

GCF of 40,658 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 6423,6876

LCM of Fractions 6423/40,6876/658 is 7360758

3 6423, 6876
2141, 2292

∴ So the LCM of the given numbers is 3 x 2141 x 2292 = 14721516

Least Common Multiple of 6423,6876 with GCF Formula

Least Common Multiple of 6423,6876 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 6423,6876 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(6423,6876) = 3

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

GCF(6423,6876) x common factors =3 x 1 = 3

LCM(6423,6876) = ( 6423 × 6876 ) / 3

LCM(6423,6876) = 44164548 / 3

LCM(6423,6876) = 14721516


Lets's calculate GCF of 40,658

2 40, 658
20, 329

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 14721516/2

Therefore the LCM of Fractions 6423/40,6876/658 is 7360758

Greatest Common Factor of 40,658 By Matching Biggest Common Factor Method

Greatest Common Factor of 40,658 By Matching Biggest Common Factor Method

Factors of 40

List of positive integer factors of 40 that divides 40 without a remainder.

1,2,4,5,8,10,20,40

Factors of 658

List of positive integer factors of 658 that divides 658 without a remainder.

1,2,7,14,47,94,329,658

Greatest Common Factor

We found the factors 40,658 . The biggest common factor number is the GCF number.
So the greatest common factor 40,658 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 6423/40, 6876/658

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 6423/40, 6876/658?

Answer: LCM of Numerators as per given numbers 6423/40, 6876/658 is

LCM of Numerators i.e. for 6423,6876 is 14721516

GCF of denominators i.e. for 40,658 is 2.

Thus, LCM of Fractions is 7360758.Finally, LCM of Fractions for 6423/40, 6876/658 is 7360758.