Least Common Multiple of 4157/640, 9037/648

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 4157/640, 9037/648 quickly i.e. 37566809/8 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 4157/640, 9037/648 is 37566809/8.

LCM(4157/640, 9037/648) = 37566809/8

LCM of 4157/640, 9037/648

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 4157/640,9037/648

Given numbers are 4157/640,9037/648

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 4157,9037

Least Common Multiple of Numerators i.e. LCM of 4157,9037 is 37566809.

GCF of Denominators means GCF of 640,648 as per the given fractions.

GCF of 640,648 is 8 as it is the largest common factor for these numbers.

Lets's calculate LCM of 4157,9037

LCM of Fractions 4157/640,9037/648 is 37566809/8

Given numbers has no common factors except 1. So, there LCM is their product i.e 37566809

Least Common Multiple of 4157,9037 with GCF Formula

Least Common Multiple of 4157,9037 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 4157,9037 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(4157,9037) = 1

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

GCF(4157,9037) x common factors =1 x 1 = 1

LCM(4157,9037) = ( 4157 × 9037 ) / 1

LCM(4157,9037) = 37566809 / 1

LCM(4157,9037) = 37566809


Lets's calculate GCF of 640,648

2 640, 648
2 320, 324
2 160, 162
80, 81

∴ So the GCF of the given numbers is 2 x 2 x 2 = 8

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 37566809/8

Therefore the LCM of Fractions 4157/640,9037/648 is 37566809/8

Greatest Common Factor of 640,648 By Matching Biggest Common Factor Method

Greatest Common Factor of 640,648 By Matching Biggest Common Factor Method

Factors of 640

List of positive integer factors of 640 that divides 640 without a remainder.

1,2,4,5,8,10,16,20,32,40,64,80,128,160,320,640

Factors of 648

List of positive integer factors of 648 that divides 648 without a remainder.

1,2,3,4,6,8,9,12,18,24,27,36,54,72,81,108,162,216,324,648

Greatest Common Factor

We found the factors 640,648 . The biggest common factor number is the GCF number.
So the greatest common factor 640,648 is 8.


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 4157/640, 9037/648

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 4157/640, 9037/648?

Answer: LCM of Numerators as per given numbers 4157/640, 9037/648 is

LCM of Numerators i.e. for 4157,9037 is 37566809

GCF of denominators i.e. for 640,648 is 8.

Thus, LCM of Fractions is 37566809/8.Finally, LCM of Fractions for 4157/640, 9037/648 is 37566809/8.