Least Common Multiple of 9440/638, 6072/440

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 9440/638, 6072/440 quickly i.e. 325680 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 9440/638, 6072/440 is 325680.

LCM(9440/638, 6072/440) = 325680

LCM of 9440/638, 6072/440

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 9440/638,6072/440

Given numbers are 9440/638,6072/440

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 9440,6072

Least Common Multiple of Numerators i.e. LCM of 9440,6072 is 7164960.

GCF of Denominators means GCF of 638,440 as per the given fractions.

GCF of 638,440 is 22 as it is the largest common factor for these numbers.

Lets's calculate LCM of 9440,6072

LCM of Fractions 9440/638,6072/440 is 325680

2 9440, 6072
2 4720, 3036
2 2360, 1518
1180, 759

∴ So the LCM of the given numbers is 2 x 2 x 2 x 1180 x 759 = 7164960

Least Common Multiple of 9440,6072 with GCF Formula

Least Common Multiple of 9440,6072 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 9440,6072 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(9440,6072) = 8

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

GCF(9440,6072) x common factors =8 x 1 = 8

LCM(9440,6072) = ( 9440 × 6072 ) / 8

LCM(9440,6072) = 57319680 / 8

LCM(9440,6072) = 7164960


Lets's calculate GCF of 638,440

2 638, 440
11 319, 220
29, 20

∴ So the GCF of the given numbers is 2 x 11 = 22

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7164960/22

Therefore the LCM of Fractions 9440/638,6072/440 is 325680

Greatest Common Factor of 638,440 By Matching Biggest Common Factor Method

Greatest Common Factor of 638,440 By Matching Biggest Common Factor Method

Factors of 638

List of positive integer factors of 638 that divides 638 without a remainder.

1,2,11,22,29,58,319,638

Factors of 440

List of positive integer factors of 440 that divides 440 without a remainder.

1,2,4,5,8,10,11,20,22,40,44,55,88,110,220,440

Greatest Common Factor

We found the factors 638,440 . The biggest common factor number is the GCF number.
So the greatest common factor 638,440 is 22.


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 9440/638, 6072/440

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 9440/638, 6072/440?

Answer: LCM of Numerators as per given numbers 9440/638, 6072/440 is

LCM of Numerators i.e. for 9440,6072 is 7164960

GCF of denominators i.e. for 638,440 is 22.

Thus, LCM of Fractions is 325680.Finally, LCM of Fractions for 9440/638, 6072/440 is 325680.