Least Common Multiple of 506/121, 7412/9161

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 506/121, 7412/9161 quickly i.e. 1875236 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 506/121, 7412/9161 is 1875236.

LCM(506/121, 7412/9161) = 1875236

LCM of 506/121, 7412/9161

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 506/121,7412/9161

Given numbers are 506/121,7412/9161

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 506,7412

Least Common Multiple of Numerators i.e. LCM of 506,7412 is 1875236.

GCF of Denominators means GCF of 121,9161 as per the given fractions.

GCF of 121,9161 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 506,7412

LCM of Fractions 506/121,7412/9161 is 1875236

2 506, 7412
253, 3706

∴ So the LCM of the given numbers is 2 x 253 x 3706 = 1875236

Least Common Multiple of 506,7412 with GCF Formula

Least Common Multiple of 506,7412 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 506,7412 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(506,7412) = 2

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

GCF(506,7412) x common factors =2 x 1 = 2

LCM(506,7412) = ( 506 × 7412 ) / 2

LCM(506,7412) = 3750472 / 2

LCM(506,7412) = 1875236


Lets's calculate GCF of 121,9161

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1875236/1

Therefore the LCM of Fractions 506/121,7412/9161 is 1875236

Greatest Common Factor of 121,9161 By Matching Biggest Common Factor Method

Greatest Common Factor of 121,9161 By Matching Biggest Common Factor Method

Factors of 121

List of positive integer factors of 121 that divides 121 without a remainder.

1,11,121

Factors of 9161

List of positive integer factors of 9161 that divides 9161 without a remainder.

1,9161

Greatest Common Factor

We found the factors 121,9161 . The biggest common factor number is the GCF number.
So the greatest common factor 121,9161 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 506/121, 7412/9161

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 506/121, 7412/9161?

Answer: LCM of Numerators as per given numbers 506/121, 7412/9161 is

LCM of Numerators i.e. for 506,7412 is 1875236

GCF of denominators i.e. for 121,9161 is 1.

Thus, LCM of Fractions is 1875236.Finally, LCM of Fractions for 506/121, 7412/9161 is 1875236.