Least Common Multiple of 254/978, 3723/917

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 254/978, 3723/917 quickly i.e. 945642 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 254/978, 3723/917 is 945642.

LCM(254/978, 3723/917) = 945642

LCM of 254/978, 3723/917

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 254/978,3723/917

Given numbers are 254/978,3723/917

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 254,3723

Least Common Multiple of Numerators i.e. LCM of 254,3723 is 945642.

GCF of Denominators means GCF of 978,917 as per the given fractions.

GCF of 978,917 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 254,3723

LCM of Fractions 254/978,3723/917 is 945642

Given numbers has no common factors except 1. So, there LCM is their product i.e 945642

Least Common Multiple of 254,3723 with GCF Formula

Least Common Multiple of 254,3723 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 254,3723 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(254,3723) = 1

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

GCF(254,3723) x common factors =1 x 1 = 1

LCM(254,3723) = ( 254 × 3723 ) / 1

LCM(254,3723) = 945642 / 1

LCM(254,3723) = 945642


Lets's calculate GCF of 978,917

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 945642/1

Therefore the LCM of Fractions 254/978,3723/917 is 945642

Greatest Common Factor of 978,917 By Matching Biggest Common Factor Method

Greatest Common Factor of 978,917 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 917

List of positive integer factors of 917 that divides 917 without a remainder.

1,7,131,917

Greatest Common Factor

We found the factors 978,917 . The biggest common factor number is the GCF number.
So the greatest common factor 978,917 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 254/978, 3723/917

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 254/978, 3723/917?

Answer: LCM of Numerators as per given numbers 254/978, 3723/917 is

LCM of Numerators i.e. for 254,3723 is 945642

GCF of denominators i.e. for 978,917 is 1.

Thus, LCM of Fractions is 945642.Finally, LCM of Fractions for 254/978, 3723/917 is 945642.