Least Common Multiple of 278/27, 840/48, 671/464

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 278/27, 840/48, 671/464 quickly i.e. 78345960 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 278/27, 840/48, 671/464 is 78345960.

LCM(278/27, 840/48, 671/464) = 78345960

LCM of 278/27, 840/48, 671/464

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 278/27,840/48,671/464

Given numbers are 278/27,840/48,671/464

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 278,840,671

Least Common Multiple of Numerators i.e. LCM of 278,840,671 is 78345960.

GCF of Denominators means GCF of 27,48,464 as per the given fractions.

GCF of 27,48,464 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 278,840,671

LCM of Fractions 278/27,840/48,671/464 is 78345960

2 278, 840, 671
139, 420, 671

∴ So the LCM of the given numbers is 2 x 139 x 420 x 671 = 78345960

Least Common Multiple of 278,840,671 with GCF Formula

Least Common Multiple of 278,840,671 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 278,840,671 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(278,840,671) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(278,840,671) x common factors =1 x 2 = 2

LCM(278,840,671) = ( 278 × 840 × 671 ) / 2

LCM(278,840,671) = 156691920 / 2

LCM(278,840,671) = 78345960


Lets's calculate GCF of 27,48,464

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 78345960/1

Therefore the LCM of Fractions 278/27,840/48,671/464 is 78345960

Greatest Common Factor of 27,48,464 By Matching Biggest Common Factor Method

Greatest Common Factor of 27,48,464 By Matching Biggest Common Factor Method

Factors of 27

List of positive integer factors of 27 that divides 27 without a remainder.

1,3,9,27

Factors of 48

List of positive integer factors of 48 that divides 48 without a remainder.

1,2,3,4,6,8,12,16,24,48

Factors of 464

List of positive integer factors of 464 that divides 464 without a remainder.

1,2,4,8,16,29,58,116,232,464

Greatest Common Factor

We found the factors 27,48,464 . The biggest common factor number is the GCF number.
So the greatest common factor 27,48,464 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 278/27, 840/48, 671/464

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 278/27, 840/48, 671/464?

Answer: LCM of Numerators as per given numbers 278/27, 840/48, 671/464 is

LCM of Numerators i.e. for 278,840,671 is 78345960

GCF of denominators i.e. for 27,48,464 is 1.

Thus, LCM of Fractions is 78345960.Finally, LCM of Fractions for 278/27, 840/48, 671/464 is 78345960.