Least Common Multiple of 218/744, 350/640, 536/696

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 218/744, 350/640, 536/696 quickly i.e. 1278025 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 218/744, 350/640, 536/696 is 1278025.

LCM(218/744, 350/640, 536/696) = 1278025

LCM of 218/744, 350/640, 536/696

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 218/744,350/640,536/696

Given numbers are 218/744,350/640,536/696

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 218,350,536

Least Common Multiple of Numerators i.e. LCM of 218,350,536 is 10224200.

GCF of Denominators means GCF of 744,640,696 as per the given fractions.

GCF of 744,640,696 is 8 as it is the largest common factor for these numbers.

Lets's calculate LCM of 218,350,536

LCM of Fractions 218/744,350/640,536/696 is 1278025

2 218, 350, 536
109, 175, 268

∴ So the LCM of the given numbers is 2 x 109 x 175 x 268 = 10224200

Least Common Multiple of 218,350,536 with GCF Formula

Least Common Multiple of 218,350,536 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 218,350,536 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(218,350,536) = 2

common factors(in case of two or more numbers have common factors) = 2

GCF(218,350,536) x common factors =2 x 2 = 4

LCM(218,350,536) = ( 218 × 350 × 536 ) / 4

LCM(218,350,536) = 40896800 / 4

LCM(218,350,536) = 10224200


Lets's calculate GCF of 744,640,696

2 744, 640, 696
2 372, 320, 348
2 186, 160, 174
93, 80, 87

∴ So the GCF of the given numbers is 2 x 2 x 2 = 8

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 10224200/8

Therefore the LCM of Fractions 218/744,350/640,536/696 is 1278025

Greatest Common Factor of 744,640,696 By Matching Biggest Common Factor Method

Greatest Common Factor of 744,640,696 By Matching Biggest Common Factor Method

Factors of 744

List of positive integer factors of 744 that divides 744 without a remainder.

1,2,3,4,6,8,12,24,31,62,93,124,186,248,372,744

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 696

List of positive integer factors of 696 that divides 696 without a remainder.

1,2,3,4,6,8,12,24,29,58,87,116,174,232,348,696

Greatest Common Factor

We found the factors 744,640,696 . The biggest common factor number is the GCF number.
So the greatest common factor 744,640,696 is 8.


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 218/744, 350/640, 536/696

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 218/744, 350/640, 536/696?

Answer: LCM of Numerators as per given numbers 218/744, 350/640, 536/696 is

LCM of Numerators i.e. for 218,350,536 is 10224200

GCF of denominators i.e. for 744,640,696 is 8.

Thus, LCM of Fractions is 1278025.Finally, LCM of Fractions for 218/744, 350/640, 536/696 is 1278025.