Least Common Multiple of 948/54, 253/32, 978/612

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 948/54, 253/32, 978/612 quickly i.e. 19547286 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 948/54, 253/32, 978/612 is 19547286.

LCM(948/54, 253/32, 978/612) = 19547286

LCM of 948/54, 253/32, 978/612

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 948/54,253/32,978/612

Given numbers are 948/54,253/32,978/612

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 948,253,978

Least Common Multiple of Numerators i.e. LCM of 948,253,978 is 39094572.

GCF of Denominators means GCF of 54,32,612 as per the given fractions.

GCF of 54,32,612 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 948,253,978

LCM of Fractions 948/54,253/32,978/612 is 19547286

2 948, 253, 978
3 474, 253, 489
158, 253, 163

∴ So the LCM of the given numbers is 2 x 3 x 158 x 253 x 163 = 39094572

Least Common Multiple of 948,253,978 with GCF Formula

Least Common Multiple of 948,253,978 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 948,253,978 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(948,253,978) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(948,253,978) x common factors =1 x 6 = 6

LCM(948,253,978) = ( 948 × 253 × 978 ) / 6

LCM(948,253,978) = 234567432 / 6

LCM(948,253,978) = 39094572


Lets's calculate GCF of 54,32,612

2 54, 32, 612
27, 16, 306

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 39094572/2

Therefore the LCM of Fractions 948/54,253/32,978/612 is 19547286

Greatest Common Factor of 54,32,612 By Matching Biggest Common Factor Method

Greatest Common Factor of 54,32,612 By Matching Biggest Common Factor Method

Factors of 54

List of positive integer factors of 54 that divides 54 without a remainder.

1,2,3,6,9,18,27,54

Factors of 32

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

1,2,4,8,16,32

Factors of 612

List of positive integer factors of 612 that divides 612 without a remainder.

1,2,3,4,6,9,12,17,18,34,36,51,68,102,153,204,306,612

Greatest Common Factor

We found the factors 54,32,612 . The biggest common factor number is the GCF number.
So the greatest common factor 54,32,612 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 948/54, 253/32, 978/612

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 948/54, 253/32, 978/612?

Answer: LCM of Numerators as per given numbers 948/54, 253/32, 978/612 is

LCM of Numerators i.e. for 948,253,978 is 39094572

GCF of denominators i.e. for 54,32,612 is 2.

Thus, LCM of Fractions is 19547286.Finally, LCM of Fractions for 948/54, 253/32, 978/612 is 19547286.