Least Common Multiple of 64/56, 13/32, 901/244

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 64/56, 13/32, 901/244 quickly i.e. 187408 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 64/56, 13/32, 901/244 is 187408.

LCM(64/56, 13/32, 901/244) = 187408

LCM of 64/56, 13/32, 901/244

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 64/56,13/32,901/244

Given numbers are 64/56,13/32,901/244

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 64,13,901

Least Common Multiple of Numerators i.e. LCM of 64,13,901 is 749632.

GCF of Denominators means GCF of 56,32,244 as per the given fractions.

GCF of 56,32,244 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 64,13,901

LCM of Fractions 64/56,13/32,901/244 is 187408

Given numbers has no common factors except 1. So, there LCM is their product i.e 749632

Least Common Multiple of 64,13,901 with GCF Formula

Least Common Multiple of 64,13,901 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 64,13,901 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(64,13,901) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(64,13,901) x common factors =1 x 1 = 1

LCM(64,13,901) = ( 64 × 13 × 901 ) / 1

LCM(64,13,901) = 749632 / 1

LCM(64,13,901) = 749632


Lets's calculate GCF of 56,32,244

2 56, 32, 244
2 28, 16, 122
14, 8, 61

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 749632/4

Therefore the LCM of Fractions 64/56,13/32,901/244 is 187408

Greatest Common Factor of 56,32,244 By Matching Biggest Common Factor Method

Greatest Common Factor of 56,32,244 By Matching Biggest Common Factor Method

Factors of 56

List of positive integer factors of 56 that divides 56 without a remainder.

1,2,4,7,8,14,28,56

Factors of 32

List of positive integer factors of 32 that divides 32 without a remainder.

1,2,4,8,16,32

Factors of 244

List of positive integer factors of 244 that divides 244 without a remainder.

1,2,4,61,122,244

Greatest Common Factor

We found the factors 56,32,244 . The biggest common factor number is the GCF number.
So the greatest common factor 56,32,244 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 64/56, 13/32, 901/244

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 64/56, 13/32, 901/244?

Answer: LCM of Numerators as per given numbers 64/56, 13/32, 901/244 is

LCM of Numerators i.e. for 64,13,901 is 749632

GCF of denominators i.e. for 56,32,244 is 4.

Thus, LCM of Fractions is 187408.Finally, LCM of Fractions for 64/56, 13/32, 901/244 is 187408.