Least Common Multiple of 21/640, 67/835, 410/622

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 21/640, 67/835, 410/622 quickly i.e. 576870 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 21/640, 67/835, 410/622 is 576870.

LCM(21/640, 67/835, 410/622) = 576870

LCM of 21/640, 67/835, 410/622

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 21/640,67/835,410/622

Given numbers are 21/640,67/835,410/622

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 21,67,410

Least Common Multiple of Numerators i.e. LCM of 21,67,410 is 576870.

GCF of Denominators means GCF of 640,835,622 as per the given fractions.

GCF of 640,835,622 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 21,67,410

LCM of Fractions 21/640,67/835,410/622 is 576870

Given numbers has no common factors except 1. So, there LCM is their product i.e 576870

Least Common Multiple of 21,67,410 with GCF Formula

Least Common Multiple of 21,67,410 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 21,67,410 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(21,67,410) = 1

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

GCF(21,67,410) x common factors =1 x 1 = 1

LCM(21,67,410) = ( 21 × 67 × 410 ) / 1

LCM(21,67,410) = 576870 / 1

LCM(21,67,410) = 576870


Lets's calculate GCF of 640,835,622

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 576870/1

Therefore the LCM of Fractions 21/640,67/835,410/622 is 576870

Greatest Common Factor of 640,835,622 By Matching Biggest Common Factor Method

Greatest Common Factor of 640,835,622 By Matching Biggest Common Factor Method

Factors of 640

List of positive integer factors of 640 that divides 640 without a remainder.

1,2,4,5,8,10,16,20,32,40,64,80,128,160,320,640

Factors of 835

List of positive integer factors of 835 that divides 835 without a remainder.

1,5,167,835

Factors of 622

List of positive integer factors of 622 that divides 622 without a remainder.

1,2,311,622

Greatest Common Factor

We found the factors 640,835,622 . The biggest common factor number is the GCF number.
So the greatest common factor 640,835,622 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 21/640, 67/835, 410/622

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 21/640, 67/835, 410/622?

Answer: LCM of Numerators as per given numbers 21/640, 67/835, 410/622 is

LCM of Numerators i.e. for 21,67,410 is 576870

GCF of denominators i.e. for 640,835,622 is 1.

Thus, LCM of Fractions is 576870.Finally, LCM of Fractions for 21/640, 67/835, 410/622 is 576870.