Least Common Multiple of 27/58, 633/20, 597/977

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 27/58, 633/20, 597/977 quickly i.e. 1133703 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 27/58, 633/20, 597/977 is 1133703.

LCM(27/58, 633/20, 597/977) = 1133703

LCM of 27/58, 633/20, 597/977

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 27/58,633/20,597/977

Given numbers are 27/58,633/20,597/977

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 27,633,597

Least Common Multiple of Numerators i.e. LCM of 27,633,597 is 1133703.

GCF of Denominators means GCF of 58,20,977 as per the given fractions.

GCF of 58,20,977 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 27,633,597

LCM of Fractions 27/58,633/20,597/977 is 1133703

3 27, 633, 597
9, 211, 199

∴ So the LCM of the given numbers is 3 x 9 x 211 x 199 = 1133703

Least Common Multiple of 27,633,597 with GCF Formula

Least Common Multiple of 27,633,597 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 27,633,597 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(27,633,597) = 3

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

GCF(27,633,597) x common factors =3 x 3 = 9

LCM(27,633,597) = ( 27 × 633 × 597 ) / 9

LCM(27,633,597) = 10203327 / 9

LCM(27,633,597) = 1133703


Lets's calculate GCF of 58,20,977

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1133703/1

Therefore the LCM of Fractions 27/58,633/20,597/977 is 1133703

Greatest Common Factor of 58,20,977 By Matching Biggest Common Factor Method

Greatest Common Factor of 58,20,977 By Matching Biggest Common Factor Method

Factors of 58

List of positive integer factors of 58 that divides 58 without a remainder.

1,2,29,58

Factors of 20

List of positive integer factors of 20 that divides 20 without a remainder.

1,2,4,5,10,20

Factors of 977

List of positive integer factors of 977 that divides 977 without a remainder.

1,977

Greatest Common Factor

We found the factors 58,20,977 . The biggest common factor number is the GCF number.
So the greatest common factor 58,20,977 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 27/58, 633/20, 597/977

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 27/58, 633/20, 597/977?

Answer: LCM of Numerators as per given numbers 27/58, 633/20, 597/977 is

LCM of Numerators i.e. for 27,633,597 is 1133703

GCF of denominators i.e. for 58,20,977 is 1.

Thus, LCM of Fractions is 1133703.Finally, LCM of Fractions for 27/58, 633/20, 597/977 is 1133703.