Least Common Multiple of 64/978, 2135/2926

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 64/978, 2135/2926 quickly i.e. 68320 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 64/978, 2135/2926 is 68320.

LCM(64/978, 2135/2926) = 68320

LCM of 64/978, 2135/2926

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 64/978,2135/2926

Given numbers are 64/978,2135/2926

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 64,2135

Least Common Multiple of Numerators i.e. LCM of 64,2135 is 136640.

GCF of Denominators means GCF of 978,2926 as per the given fractions.

GCF of 978,2926 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 64,2135

LCM of Fractions 64/978,2135/2926 is 68320

Given numbers has no common factors except 1. So, there LCM is their product i.e 136640

Least Common Multiple of 64,2135 with GCF Formula

Least Common Multiple of 64,2135 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 64,2135 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(64,2135) = 1

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

GCF(64,2135) x common factors =1 x 1 = 1

LCM(64,2135) = ( 64 × 2135 ) / 1

LCM(64,2135) = 136640 / 1

LCM(64,2135) = 136640


Lets's calculate GCF of 978,2926

2 978, 2926
489, 1463

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 136640/2

Therefore the LCM of Fractions 64/978,2135/2926 is 68320

Greatest Common Factor of 978,2926 By Matching Biggest Common Factor Method

Greatest Common Factor of 978,2926 By Matching Biggest Common Factor Method

Factors of 978

List of positive integer factors of 978 that divides 978 without a remainder.

1,2,3,6,163,326,489,978

Factors of 2926

List of positive integer factors of 2926 that divides 2926 without a remainder.

1,2,7,11,14,19,22,38,77,133,154,209,266,418,1463,2926

Greatest Common Factor

We found the factors 978,2926 . The biggest common factor number is the GCF number.
So the greatest common factor 978,2926 is 2.


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 64/978, 2135/2926

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 64/978, 2135/2926?

Answer: LCM of Numerators as per given numbers 64/978, 2135/2926 is

LCM of Numerators i.e. for 64,2135 is 136640

GCF of denominators i.e. for 978,2926 is 2.

Thus, LCM of Fractions is 68320.Finally, LCM of Fractions for 64/978, 2135/2926 is 68320.