Least Common Multiple of 64/296, 84/396, 627/500

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 64/296, 84/396, 627/500 quickly i.e. 70224 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 64/296, 84/396, 627/500 is 70224.

LCM(64/296, 84/396, 627/500) = 70224

LCM of 64/296, 84/396, 627/500

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 64/296,84/396,627/500

Given numbers are 64/296,84/396,627/500

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 64,84,627

Least Common Multiple of Numerators i.e. LCM of 64,84,627 is 280896.

GCF of Denominators means GCF of 296,396,500 as per the given fractions.

GCF of 296,396,500 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 64,84,627

LCM of Fractions 64/296,84/396,627/500 is 70224

2 64, 84, 627
2 32, 42, 627
3 16, 21, 627
16, 7, 209

∴ So the LCM of the given numbers is 2 x 2 x 3 x 16 x 7 x 209 = 280896

Least Common Multiple of 64,84,627 with GCF Formula

Least Common Multiple of 64,84,627 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 64,84,627 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(64,84,627) = 1

common factors(in case of two or more numbers have common factors) = 12

GCF(64,84,627) x common factors =1 x 12 = 12

LCM(64,84,627) = ( 64 × 84 × 627 ) / 12

LCM(64,84,627) = 3370752 / 12

LCM(64,84,627) = 280896


Lets's calculate GCF of 296,396,500

2 296, 396, 500
2 148, 198, 250
74, 99, 125

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 280896/4

Therefore the LCM of Fractions 64/296,84/396,627/500 is 70224

Greatest Common Factor of 296,396,500 By Matching Biggest Common Factor Method

Greatest Common Factor of 296,396,500 By Matching Biggest Common Factor Method

Factors of 296

List of positive integer factors of 296 that divides 296 without a remainder.

1,2,4,8,37,74,148,296

Factors of 396

List of positive integer factors of 396 that divides 396 without a remainder.

1,2,3,4,6,9,11,12,18,22,33,36,44,66,99,132,198,396

Factors of 500

List of positive integer factors of 500 that divides 500 without a remainder.

1,2,4,5,10,20,25,50,100,125,250,500

Greatest Common Factor

We found the factors 296,396,500 . The biggest common factor number is the GCF number.
So the greatest common factor 296,396,500 is 4.


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 64/296, 84/396, 627/500

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 64/296, 84/396, 627/500?

Answer: LCM of Numerators as per given numbers 64/296, 84/396, 627/500 is

LCM of Numerators i.e. for 64,84,627 is 280896

GCF of denominators i.e. for 296,396,500 is 4.

Thus, LCM of Fractions is 70224.Finally, LCM of Fractions for 64/296, 84/396, 627/500 is 70224.