Least Common Multiple of 251/70, 9924/978

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 251/70, 9924/978 quickly i.e. 1245462 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 251/70, 9924/978 is 1245462.

LCM(251/70, 9924/978) = 1245462

LCM of 251/70, 9924/978

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 251/70,9924/978

Given numbers are 251/70,9924/978

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 251,9924

Least Common Multiple of Numerators i.e. LCM of 251,9924 is 2490924.

GCF of Denominators means GCF of 70,978 as per the given fractions.

GCF of 70,978 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 251,9924

LCM of Fractions 251/70,9924/978 is 1245462

Given numbers has no common factors except 1. So, there LCM is their product i.e 2490924

Least Common Multiple of 251,9924 with GCF Formula

Least Common Multiple of 251,9924 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 251,9924 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(251,9924) = 1

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

GCF(251,9924) x common factors =1 x 1 = 1

LCM(251,9924) = ( 251 × 9924 ) / 1

LCM(251,9924) = 2490924 / 1

LCM(251,9924) = 2490924


Lets's calculate GCF of 70,978

2 70, 978
35, 489

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2490924/2

Therefore the LCM of Fractions 251/70,9924/978 is 1245462

Greatest Common Factor of 70,978 By Matching Biggest Common Factor Method

Greatest Common Factor of 70,978 By Matching Biggest Common Factor Method

Factors of 70

List of positive integer factors of 70 that divides 70 without a remainder.

1,2,5,7,10,14,35,70

Factors of 978

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

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

Greatest Common Factor

We found the factors 70,978 . The biggest common factor number is the GCF number.
So the greatest common factor 70,978 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 251/70, 9924/978

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 251/70, 9924/978?

Answer: LCM of Numerators as per given numbers 251/70, 9924/978 is

LCM of Numerators i.e. for 251,9924 is 2490924

GCF of denominators i.e. for 70,978 is 2.

Thus, LCM of Fractions is 1245462.Finally, LCM of Fractions for 251/70, 9924/978 is 1245462.