Least Common Multiple of 675/64, 374/53, 244/355

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 675/64, 374/53, 244/355 quickly i.e. 30798900 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 675/64, 374/53, 244/355 is 30798900.

LCM(675/64, 374/53, 244/355) = 30798900

LCM of 675/64, 374/53, 244/355

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 675/64,374/53,244/355

Given numbers are 675/64,374/53,244/355

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 675,374,244

Least Common Multiple of Numerators i.e. LCM of 675,374,244 is 30798900.

GCF of Denominators means GCF of 64,53,355 as per the given fractions.

GCF of 64,53,355 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 675,374,244

LCM of Fractions 675/64,374/53,244/355 is 30798900

2 675, 374, 244
675, 187, 122

∴ So the LCM of the given numbers is 2 x 675 x 187 x 122 = 30798900

Least Common Multiple of 675,374,244 with GCF Formula

Least Common Multiple of 675,374,244 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 675,374,244 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(675,374,244) = 1

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

GCF(675,374,244) x common factors =1 x 2 = 2

LCM(675,374,244) = ( 675 × 374 × 244 ) / 2

LCM(675,374,244) = 61597800 / 2

LCM(675,374,244) = 30798900


Lets's calculate GCF of 64,53,355

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 30798900/1

Therefore the LCM of Fractions 675/64,374/53,244/355 is 30798900

Greatest Common Factor of 64,53,355 By Matching Biggest Common Factor Method

Greatest Common Factor of 64,53,355 By Matching Biggest Common Factor Method

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 53

List of positive integer factors of 53 that divides 53 without a remainder.

1,53

Factors of 355

List of positive integer factors of 355 that divides 355 without a remainder.

1,5,71,355

Greatest Common Factor

We found the factors 64,53,355 . The biggest common factor number is the GCF number.
So the greatest common factor 64,53,355 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 675/64, 374/53, 244/355

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 675/64, 374/53, 244/355?

Answer: LCM of Numerators as per given numbers 675/64, 374/53, 244/355 is

LCM of Numerators i.e. for 675,374,244 is 30798900

GCF of denominators i.e. for 64,53,355 is 1.

Thus, LCM of Fractions is 30798900.Finally, LCM of Fractions for 675/64, 374/53, 244/355 is 30798900.