Least Common Multiple of 57/465, 8741/7946

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 57/465, 8741/7946 quickly i.e. 498237 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 57/465, 8741/7946 is 498237.

LCM(57/465, 8741/7946) = 498237

LCM of 57/465, 8741/7946

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 57/465,8741/7946

Given numbers are 57/465,8741/7946

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 57,8741

Least Common Multiple of Numerators i.e. LCM of 57,8741 is 498237.

GCF of Denominators means GCF of 465,7946 as per the given fractions.

GCF of 465,7946 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 57,8741

LCM of Fractions 57/465,8741/7946 is 498237

Given numbers has no common factors except 1. So, there LCM is their product i.e 498237

Least Common Multiple of 57,8741 with GCF Formula

Least Common Multiple of 57,8741 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 57,8741 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(57,8741) = 1

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

GCF(57,8741) x common factors =1 x 1 = 1

LCM(57,8741) = ( 57 × 8741 ) / 1

LCM(57,8741) = 498237 / 1

LCM(57,8741) = 498237


Lets's calculate GCF of 465,7946

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 498237/1

Therefore the LCM of Fractions 57/465,8741/7946 is 498237

Greatest Common Factor of 465,7946 By Matching Biggest Common Factor Method

Greatest Common Factor of 465,7946 By Matching Biggest Common Factor Method

Factors of 465

List of positive integer factors of 465 that divides 465 without a remainder.

1,3,5,15,31,93,155,465

Factors of 7946

List of positive integer factors of 7946 that divides 7946 without a remainder.

1,2,29,58,137,274,3973,7946

Greatest Common Factor

We found the factors 465,7946 . The biggest common factor number is the GCF number.
So the greatest common factor 465,7946 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 57/465, 8741/7946

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 57/465, 8741/7946?

Answer: LCM of Numerators as per given numbers 57/465, 8741/7946 is

LCM of Numerators i.e. for 57,8741 is 498237

GCF of denominators i.e. for 465,7946 is 1.

Thus, LCM of Fractions is 498237.Finally, LCM of Fractions for 57/465, 8741/7946 is 498237.