Least Common Multiple of 402/87, 679/3563

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 402/87, 679/3563 quickly i.e. 272958 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 402/87, 679/3563 is 272958.

LCM(402/87, 679/3563) = 272958

LCM of 402/87, 679/3563

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 402/87,679/3563

Given numbers are 402/87,679/3563

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 402,679

Least Common Multiple of Numerators i.e. LCM of 402,679 is 272958.

GCF of Denominators means GCF of 87,3563 as per the given fractions.

GCF of 87,3563 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 402,679

LCM of Fractions 402/87,679/3563 is 272958

Given numbers has no common factors except 1. So, there LCM is their product i.e 272958

Least Common Multiple of 402,679 with GCF Formula

Least Common Multiple of 402,679 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 402,679 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(402,679) = 1

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

GCF(402,679) x common factors =1 x 1 = 1

LCM(402,679) = ( 402 × 679 ) / 1

LCM(402,679) = 272958 / 1

LCM(402,679) = 272958


Lets's calculate GCF of 87,3563

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 272958/1

Therefore the LCM of Fractions 402/87,679/3563 is 272958

Greatest Common Factor of 87,3563 By Matching Biggest Common Factor Method

Greatest Common Factor of 87,3563 By Matching Biggest Common Factor Method

Factors of 87

List of positive integer factors of 87 that divides 87 without a remainder.

1,3,29,87

Factors of 3563

List of positive integer factors of 3563 that divides 3563 without a remainder.

1,7,509,3563

Greatest Common Factor

We found the factors 87,3563 . The biggest common factor number is the GCF number.
So the greatest common factor 87,3563 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 402/87, 679/3563

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 402/87, 679/3563?

Answer: LCM of Numerators as per given numbers 402/87, 679/3563 is

LCM of Numerators i.e. for 402,679 is 272958

GCF of denominators i.e. for 87,3563 is 1.

Thus, LCM of Fractions is 272958.Finally, LCM of Fractions for 402/87, 679/3563 is 272958.