Least Common Multiple of 95/821, 21/498, 502/740

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 95/821, 21/498, 502/740 quickly i.e. 1001490 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 95/821, 21/498, 502/740 is 1001490.

LCM(95/821, 21/498, 502/740) = 1001490

LCM of 95/821, 21/498, 502/740

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 95/821,21/498,502/740

Given numbers are 95/821,21/498,502/740

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 95,21,502

Least Common Multiple of Numerators i.e. LCM of 95,21,502 is 1001490.

GCF of Denominators means GCF of 821,498,740 as per the given fractions.

GCF of 821,498,740 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 95,21,502

LCM of Fractions 95/821,21/498,502/740 is 1001490

Given numbers has no common factors except 1. So, there LCM is their product i.e 1001490

Least Common Multiple of 95,21,502 with GCF Formula

Least Common Multiple of 95,21,502 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 95,21,502 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(95,21,502) = 1

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

GCF(95,21,502) x common factors =1 x 1 = 1

LCM(95,21,502) = ( 95 × 21 × 502 ) / 1

LCM(95,21,502) = 1001490 / 1

LCM(95,21,502) = 1001490


Lets's calculate GCF of 821,498,740

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1001490/1

Therefore the LCM of Fractions 95/821,21/498,502/740 is 1001490

Greatest Common Factor of 821,498,740 By Matching Biggest Common Factor Method

Greatest Common Factor of 821,498,740 By Matching Biggest Common Factor Method

Factors of 821

List of positive integer factors of 821 that divides 821 without a remainder.

1,821

Factors of 498

List of positive integer factors of 498 that divides 498 without a remainder.

1,2,3,6,83,166,249,498

Factors of 740

List of positive integer factors of 740 that divides 740 without a remainder.

1,2,4,5,10,20,37,74,148,185,370,740

Greatest Common Factor

We found the factors 821,498,740 . The biggest common factor number is the GCF number.
So the greatest common factor 821,498,740 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 95/821, 21/498, 502/740

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 95/821, 21/498, 502/740?

Answer: LCM of Numerators as per given numbers 95/821, 21/498, 502/740 is

LCM of Numerators i.e. for 95,21,502 is 1001490

GCF of denominators i.e. for 821,498,740 is 1.

Thus, LCM of Fractions is 1001490.Finally, LCM of Fractions for 95/821, 21/498, 502/740 is 1001490.