Least Common Multiple of 297/58, 123/3820

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 297/58, 123/3820 quickly i.e. 12177/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 297/58, 123/3820 is 12177/2.

LCM(297/58, 123/3820) = 12177/2

LCM of 297/58, 123/3820

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 297/58,123/3820

Given numbers are 297/58,123/3820

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 297,123

Least Common Multiple of Numerators i.e. LCM of 297,123 is 12177.

GCF of Denominators means GCF of 58,3820 as per the given fractions.

GCF of 58,3820 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 297,123

LCM of Fractions 297/58,123/3820 is 12177/2

3 297, 123
99, 41

∴ So the LCM of the given numbers is 3 x 99 x 41 = 12177

Least Common Multiple of 297,123 with GCF Formula

Least Common Multiple of 297,123 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 297,123 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(297,123) = 3

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

GCF(297,123) x common factors =3 x 1 = 3

LCM(297,123) = ( 297 × 123 ) / 3

LCM(297,123) = 36531 / 3

LCM(297,123) = 12177


Lets's calculate GCF of 58,3820

2 58, 3820
29, 1910

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 12177/2

Therefore the LCM of Fractions 297/58,123/3820 is 12177/2

Greatest Common Factor of 58,3820 By Matching Biggest Common Factor Method

Greatest Common Factor of 58,3820 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 3820

List of positive integer factors of 3820 that divides 3820 without a remainder.

1,2,4,5,10,20,191,382,764,955,1910,3820

Greatest Common Factor

We found the factors 58,3820 . The biggest common factor number is the GCF number.
So the greatest common factor 58,3820 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 297/58, 123/3820

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 297/58, 123/3820?

Answer: LCM of Numerators as per given numbers 297/58, 123/3820 is

LCM of Numerators i.e. for 297,123 is 12177

GCF of denominators i.e. for 58,3820 is 2.

Thus, LCM of Fractions is 12177/2.Finally, LCM of Fractions for 297/58, 123/3820 is 12177/2.