Least Common Multiple of 801/72, 373/45, 748/382

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 801/72, 373/45, 748/382 quickly i.e. 223482204 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 801/72, 373/45, 748/382 is 223482204.

LCM(801/72, 373/45, 748/382) = 223482204

LCM of 801/72, 373/45, 748/382

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 801/72,373/45,748/382

Given numbers are 801/72,373/45,748/382

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 801,373,748

Least Common Multiple of Numerators i.e. LCM of 801,373,748 is 223482204.

GCF of Denominators means GCF of 72,45,382 as per the given fractions.

GCF of 72,45,382 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 801,373,748

LCM of Fractions 801/72,373/45,748/382 is 223482204

Given numbers has no common factors except 1. So, there LCM is their product i.e 223482204

Least Common Multiple of 801,373,748 with GCF Formula

Least Common Multiple of 801,373,748 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 801,373,748 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(801,373,748) = 1

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

GCF(801,373,748) x common factors =1 x 1 = 1

LCM(801,373,748) = ( 801 × 373 × 748 ) / 1

LCM(801,373,748) = 223482204 / 1

LCM(801,373,748) = 223482204


Lets's calculate GCF of 72,45,382

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 223482204/1

Therefore the LCM of Fractions 801/72,373/45,748/382 is 223482204

Greatest Common Factor of 72,45,382 By Matching Biggest Common Factor Method

Greatest Common Factor of 72,45,382 By Matching Biggest Common Factor Method

Factors of 72

List of positive integer factors of 72 that divides 72 without a remainder.

1,2,3,4,6,8,9,12,18,24,36,72

Factors of 45

List of positive integer factors of 45 that divides 45 without a remainder.

1,3,5,9,15,45

Factors of 382

List of positive integer factors of 382 that divides 382 without a remainder.

1,2,191,382

Greatest Common Factor

We found the factors 72,45,382 . The biggest common factor number is the GCF number.
So the greatest common factor 72,45,382 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 801/72, 373/45, 748/382

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 801/72, 373/45, 748/382?

Answer: LCM of Numerators as per given numbers 801/72, 373/45, 748/382 is

LCM of Numerators i.e. for 801,373,748 is 223482204

GCF of denominators i.e. for 72,45,382 is 1.

Thus, LCM of Fractions is 223482204.Finally, LCM of Fractions for 801/72, 373/45, 748/382 is 223482204.