Least Common Multiple of 2467/27, 1919/972

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 2467/27, 1919/972 quickly i.e. 4734173/27 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 2467/27, 1919/972 is 4734173/27.

LCM(2467/27, 1919/972) = 4734173/27

LCM of 2467/27, 1919/972

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 2467/27,1919/972

Given numbers are 2467/27,1919/972

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 2467,1919

Least Common Multiple of Numerators i.e. LCM of 2467,1919 is 4734173.

GCF of Denominators means GCF of 27,972 as per the given fractions.

GCF of 27,972 is 27 as it is the largest common factor for these numbers.

Lets's calculate LCM of 2467,1919

LCM of Fractions 2467/27,1919/972 is 4734173/27

Given numbers has no common factors except 1. So, there LCM is their product i.e 4734173

Least Common Multiple of 2467,1919 with GCF Formula

Least Common Multiple of 2467,1919 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 2467,1919 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(2467,1919) = 1

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

GCF(2467,1919) x common factors =1 x 1 = 1

LCM(2467,1919) = ( 2467 × 1919 ) / 1

LCM(2467,1919) = 4734173 / 1

LCM(2467,1919) = 4734173


Lets's calculate GCF of 27,972

3 27, 972
3 9, 324
3 3, 108
1, 36

∴ So the GCF of the given numbers is 3 x 3 x 3 = 27

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4734173/27

Therefore the LCM of Fractions 2467/27,1919/972 is 4734173/27

Greatest Common Factor of 27,972 By Matching Biggest Common Factor Method

Greatest Common Factor of 27,972 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 972

List of positive integer factors of 972 that divides 972 without a remainder.

1,2,3,4,6,9,12,18,27,36,54,81,108,162,243,324,486,972

Greatest Common Factor

We found the factors 27,972 . The biggest common factor number is the GCF number.
So the greatest common factor 27,972 is 27.


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 2467/27, 1919/972

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 2467/27, 1919/972?

Answer: LCM of Numerators as per given numbers 2467/27, 1919/972 is

LCM of Numerators i.e. for 2467,1919 is 4734173

GCF of denominators i.e. for 27,972 is 27.

Thus, LCM of Fractions is 4734173/27.Finally, LCM of Fractions for 2467/27, 1919/972 is 4734173/27.