Least Common Multiple of 252/68, 718/64, 862/128

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 252/68, 718/64, 862/128 quickly i.e. 9747927 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 252/68, 718/64, 862/128 is 9747927.

LCM(252/68, 718/64, 862/128) = 9747927

LCM of 252/68, 718/64, 862/128

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 252/68,718/64,862/128

Given numbers are 252/68,718/64,862/128

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 252,718,862

Least Common Multiple of Numerators i.e. LCM of 252,718,862 is 38991708.

GCF of Denominators means GCF of 68,64,128 as per the given fractions.

GCF of 68,64,128 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 252,718,862

LCM of Fractions 252/68,718/64,862/128 is 9747927

2 252, 718, 862
126, 359, 431

∴ So the LCM of the given numbers is 2 x 126 x 359 x 431 = 38991708

Least Common Multiple of 252,718,862 with GCF Formula

Least Common Multiple of 252,718,862 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 252,718,862 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(252,718,862) = 2

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

GCF(252,718,862) x common factors =2 x 2 = 4

LCM(252,718,862) = ( 252 × 718 × 862 ) / 4

LCM(252,718,862) = 155966832 / 4

LCM(252,718,862) = 38991708


Lets's calculate GCF of 68,64,128

2 68, 64, 128
2 34, 32, 64
17, 16, 32

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 38991708/4

Therefore the LCM of Fractions 252/68,718/64,862/128 is 9747927

Greatest Common Factor of 68,64,128 By Matching Biggest Common Factor Method

Greatest Common Factor of 68,64,128 By Matching Biggest Common Factor Method

Factors of 68

List of positive integer factors of 68 that divides 68 without a remainder.

1,2,4,17,34,68

Factors of 64

List of positive integer factors of 64 that divides 64 without a remainder.

1,2,4,8,16,32,64

Factors of 128

List of positive integer factors of 128 that divides 128 without a remainder.

1,2,4,8,16,32,64,128

Greatest Common Factor

We found the factors 68,64,128 . The biggest common factor number is the GCF number.
So the greatest common factor 68,64,128 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 252/68, 718/64, 862/128

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 252/68, 718/64, 862/128?

Answer: LCM of Numerators as per given numbers 252/68, 718/64, 862/128 is

LCM of Numerators i.e. for 252,718,862 is 38991708

GCF of denominators i.e. for 68,64,128 is 4.

Thus, LCM of Fractions is 9747927.Finally, LCM of Fractions for 252/68, 718/64, 862/128 is 9747927.