Least Common Multiple of 27/968, 843/144, 715/149

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 27/968, 843/144, 715/149 quickly i.e. 5424705 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 27/968, 843/144, 715/149 is 5424705.

LCM(27/968, 843/144, 715/149) = 5424705

LCM of 27/968, 843/144, 715/149

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 27/968,843/144,715/149

Given numbers are 27/968,843/144,715/149

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 27,843,715

Least Common Multiple of Numerators i.e. LCM of 27,843,715 is 5424705.

GCF of Denominators means GCF of 968,144,149 as per the given fractions.

GCF of 968,144,149 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 27,843,715

LCM of Fractions 27/968,843/144,715/149 is 5424705

3 27, 843, 715
9, 281, 715

∴ So the LCM of the given numbers is 3 x 9 x 281 x 715 = 5424705

Least Common Multiple of 27,843,715 with GCF Formula

Least Common Multiple of 27,843,715 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 27,843,715 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(27,843,715) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(27,843,715) x common factors =1 x 3 = 3

LCM(27,843,715) = ( 27 × 843 × 715 ) / 3

LCM(27,843,715) = 16274115 / 3

LCM(27,843,715) = 5424705


Lets's calculate GCF of 968,144,149

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5424705/1

Therefore the LCM of Fractions 27/968,843/144,715/149 is 5424705

Greatest Common Factor of 968,144,149 By Matching Biggest Common Factor Method

Greatest Common Factor of 968,144,149 By Matching Biggest Common Factor Method

Factors of 968

List of positive integer factors of 968 that divides 968 without a remainder.

1,2,4,8,11,22,44,88,121,242,484,968

Factors of 144

List of positive integer factors of 144 that divides 144 without a remainder.

1,2,3,4,6,8,9,12,16,18,24,36,48,72,144

Factors of 149

List of positive integer factors of 149 that divides 149 without a remainder.

1,149

Greatest Common Factor

We found the factors 968,144,149 . The biggest common factor number is the GCF number.
So the greatest common factor 968,144,149 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 27/968, 843/144, 715/149

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 27/968, 843/144, 715/149?

Answer: LCM of Numerators as per given numbers 27/968, 843/144, 715/149 is

LCM of Numerators i.e. for 27,843,715 is 5424705

GCF of denominators i.e. for 968,144,149 is 1.

Thus, LCM of Fractions is 5424705.Finally, LCM of Fractions for 27/968, 843/144, 715/149 is 5424705.