Least Common Multiple of 840/640, 416/501, 535/537

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 840/640, 416/501, 535/537 quickly i.e. 4673760 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 840/640, 416/501, 535/537 is 4673760.

LCM(840/640, 416/501, 535/537) = 4673760

LCM of 840/640, 416/501, 535/537

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 840/640,416/501,535/537

Given numbers are 840/640,416/501,535/537

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 840,416,535

Least Common Multiple of Numerators i.e. LCM of 840,416,535 is 4673760.

GCF of Denominators means GCF of 640,501,537 as per the given fractions.

GCF of 640,501,537 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 840,416,535

LCM of Fractions 840/640,416/501,535/537 is 4673760

2 840, 416, 535
2 420, 208, 535
2 210, 104, 535
5 105, 52, 535
21, 52, 107

∴ So the LCM of the given numbers is 2 x 2 x 2 x 5 x 21 x 52 x 107 = 4673760

Least Common Multiple of 840,416,535 with GCF Formula

Least Common Multiple of 840,416,535 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 840,416,535 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(840,416,535) = 1

common factors(in case of two or more numbers have common factors) = 40

GCF(840,416,535) x common factors =1 x 40 = 40

LCM(840,416,535) = ( 840 × 416 × 535 ) / 40

LCM(840,416,535) = 186950400 / 40

LCM(840,416,535) = 4673760


Lets's calculate GCF of 640,501,537

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4673760/1

Therefore the LCM of Fractions 840/640,416/501,535/537 is 4673760

Greatest Common Factor of 640,501,537 By Matching Biggest Common Factor Method

Greatest Common Factor of 640,501,537 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 501

List of positive integer factors of 501 that divides 501 without a remainder.

1,3,167,501

Factors of 537

List of positive integer factors of 537 that divides 537 without a remainder.

1,3,179,537

Greatest Common Factor

We found the factors 640,501,537 . The biggest common factor number is the GCF number.
So the greatest common factor 640,501,537 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 840/640, 416/501, 535/537

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 840/640, 416/501, 535/537?

Answer: LCM of Numerators as per given numbers 840/640, 416/501, 535/537 is

LCM of Numerators i.e. for 840,416,535 is 4673760

GCF of denominators i.e. for 640,501,537 is 1.

Thus, LCM of Fractions is 4673760.Finally, LCM of Fractions for 840/640, 416/501, 535/537 is 4673760.