Least Common Multiple of 72/665, 128/696, 349/360

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 72/665, 128/696, 349/360 quickly i.e. 402048 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 72/665, 128/696, 349/360 is 402048.

LCM(72/665, 128/696, 349/360) = 402048

LCM of 72/665, 128/696, 349/360

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 72/665,128/696,349/360

Given numbers are 72/665,128/696,349/360

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 72,128,349

Least Common Multiple of Numerators i.e. LCM of 72,128,349 is 402048.

GCF of Denominators means GCF of 665,696,360 as per the given fractions.

GCF of 665,696,360 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 72,128,349

LCM of Fractions 72/665,128/696,349/360 is 402048

2 72, 128, 349
2 36, 64, 349
2 18, 32, 349
9, 16, 349

∴ So the LCM of the given numbers is 2 x 2 x 2 x 9 x 16 x 349 = 402048

Least Common Multiple of 72,128,349 with GCF Formula

Least Common Multiple of 72,128,349 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 72,128,349 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(72,128,349) = 1

common factors(in case of two or more numbers have common factors) = 8

GCF(72,128,349) x common factors =1 x 8 = 8

LCM(72,128,349) = ( 72 × 128 × 349 ) / 8

LCM(72,128,349) = 3216384 / 8

LCM(72,128,349) = 402048


Lets's calculate GCF of 665,696,360

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 402048/1

Therefore the LCM of Fractions 72/665,128/696,349/360 is 402048

Greatest Common Factor of 665,696,360 By Matching Biggest Common Factor Method

Greatest Common Factor of 665,696,360 By Matching Biggest Common Factor Method

Factors of 665

List of positive integer factors of 665 that divides 665 without a remainder.

1,5,7,19,35,95,133,665

Factors of 696

List of positive integer factors of 696 that divides 696 without a remainder.

1,2,3,4,6,8,12,24,29,58,87,116,174,232,348,696

Factors of 360

List of positive integer factors of 360 that divides 360 without a remainder.

1,2,3,4,5,6,8,9,10,12,15,18,20,24,30,36,40,45,60,72,90,120,180,360

Greatest Common Factor

We found the factors 665,696,360 . The biggest common factor number is the GCF number.
So the greatest common factor 665,696,360 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 72/665, 128/696, 349/360

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 72/665, 128/696, 349/360?

Answer: LCM of Numerators as per given numbers 72/665, 128/696, 349/360 is

LCM of Numerators i.e. for 72,128,349 is 402048

GCF of denominators i.e. for 665,696,360 is 1.

Thus, LCM of Fractions is 402048.Finally, LCM of Fractions for 72/665, 128/696, 349/360 is 402048.