Least Common Multiple of 1/64, 73/944, 64/892

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 1/64, 73/944, 64/892 quickly i.e. 1168 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 1/64, 73/944, 64/892 is 1168.

LCM(1/64, 73/944, 64/892) = 1168

LCM of 1/64, 73/944, 64/892

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 1/64,73/944,64/892

Given numbers are 1/64,73/944,64/892

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 1,73,64

Least Common Multiple of Numerators i.e. LCM of 1,73,64 is 4672.

GCF of Denominators means GCF of 64,944,892 as per the given fractions.

GCF of 64,944,892 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 1,73,64

LCM of Fractions 1/64,73/944,64/892 is 1168

Given numbers has no common factors except 1. So, there LCM is their product i.e 4672

Least Common Multiple of 1,73,64 with GCF Formula

Least Common Multiple of 1,73,64 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 1,73,64 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(1,73,64) = 1

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

GCF(1,73,64) x common factors =1 x 1 = 1

LCM(1,73,64) = ( 1 × 73 × 64 ) / 1

LCM(1,73,64) = 4672 / 1

LCM(1,73,64) = 4672


Lets's calculate GCF of 64,944,892

2 64, 944, 892
2 32, 472, 446
16, 236, 223

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4672/4

Therefore the LCM of Fractions 1/64,73/944,64/892 is 1168

Greatest Common Factor of 64,944,892 By Matching Biggest Common Factor Method

Greatest Common Factor of 64,944,892 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 944

List of positive integer factors of 944 that divides 944 without a remainder.

1,2,4,8,16,59,118,236,472,944

Factors of 892

List of positive integer factors of 892 that divides 892 without a remainder.

1,2,4,223,446,892

Greatest Common Factor

We found the factors 64,944,892 . The biggest common factor number is the GCF number.
So the greatest common factor 64,944,892 is 4.


LCM of Fractions Calculation Examples

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Frequently Asked Questions on Fractional LCM of 1/64, 73/944, 64/892

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 1/64, 73/944, 64/892?

Answer: LCM of Numerators as per given numbers 1/64, 73/944, 64/892 is

LCM of Numerators i.e. for 1,73,64 is 4672

GCF of denominators i.e. for 64,944,892 is 4.

Thus, LCM of Fractions is 1168.Finally, LCM of Fractions for 1/64, 73/944, 64/892 is 1168.