Least Common Multiple of 38/660, 645/743, 440/297

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 38/660, 645/743, 440/297 quickly i.e. 1078440 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 38/660, 645/743, 440/297 is 1078440.

LCM(38/660, 645/743, 440/297) = 1078440

LCM of 38/660, 645/743, 440/297

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 38/660,645/743,440/297

Given numbers are 38/660,645/743,440/297

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 38,645,440

Least Common Multiple of Numerators i.e. LCM of 38,645,440 is 1078440.

GCF of Denominators means GCF of 660,743,297 as per the given fractions.

GCF of 660,743,297 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 38,645,440

LCM of Fractions 38/660,645/743,440/297 is 1078440

2 38, 645, 440
5 19, 645, 220
19, 129, 44

∴ So the LCM of the given numbers is 2 x 5 x 19 x 129 x 44 = 1078440

Least Common Multiple of 38,645,440 with GCF Formula

Least Common Multiple of 38,645,440 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 38,645,440 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(38,645,440) = 1

common factors(in case of two or more numbers have common factors) = 10

GCF(38,645,440) x common factors =1 x 10 = 10

LCM(38,645,440) = ( 38 × 645 × 440 ) / 10

LCM(38,645,440) = 10784400 / 10

LCM(38,645,440) = 1078440


Lets's calculate GCF of 660,743,297

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1078440/1

Therefore the LCM of Fractions 38/660,645/743,440/297 is 1078440

Greatest Common Factor of 660,743,297 By Matching Biggest Common Factor Method

Greatest Common Factor of 660,743,297 By Matching Biggest Common Factor Method

Factors of 660

List of positive integer factors of 660 that divides 660 without a remainder.

1,2,3,4,5,6,10,11,12,15,20,22,30,33,44,55,60,66,110,132,165,220,330,660

Factors of 743

List of positive integer factors of 743 that divides 743 without a remainder.

1,743

Factors of 297

List of positive integer factors of 297 that divides 297 without a remainder.

1,3,9,11,27,33,99,297

Greatest Common Factor

We found the factors 660,743,297 . The biggest common factor number is the GCF number.
So the greatest common factor 660,743,297 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 38/660, 645/743, 440/297

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 38/660, 645/743, 440/297?

Answer: LCM of Numerators as per given numbers 38/660, 645/743, 440/297 is

LCM of Numerators i.e. for 38,645,440 is 1078440

GCF of denominators i.e. for 660,743,297 is 1.

Thus, LCM of Fractions is 1078440.Finally, LCM of Fractions for 38/660, 645/743, 440/297 is 1078440.