Least Common Multiple of 272/93, 510/93, 410/735

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 272/93, 510/93, 410/735 quickly i.e. 55760 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 272/93, 510/93, 410/735 is 55760.

LCM(272/93, 510/93, 410/735) = 55760

LCM of 272/93, 510/93, 410/735

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 272/93,510/93,410/735

Given numbers are 272/93,510/93,410/735

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 272,510,410

Least Common Multiple of Numerators i.e. LCM of 272,510,410 is 167280.

GCF of Denominators means GCF of 93,93,735 as per the given fractions.

GCF of 93,93,735 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 272,510,410

LCM of Fractions 272/93,510/93,410/735 is 55760

2 272, 510, 410
5 136, 255, 205
17 136, 51, 41
8, 3, 41

∴ So the LCM of the given numbers is 2 x 5 x 17 x 8 x 3 x 41 = 167280

Least Common Multiple of 272,510,410 with GCF Formula

Least Common Multiple of 272,510,410 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 272,510,410 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(272,510,410) = 2

common factors(in case of two or more numbers have common factors) = 170

GCF(272,510,410) x common factors =2 x 170 = 340

LCM(272,510,410) = ( 272 × 510 × 410 ) / 340

LCM(272,510,410) = 56875200 / 340

LCM(272,510,410) = 167280


Lets's calculate GCF of 93,93,735

3 93, 93, 735
31, 31, 245

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 167280/3

Therefore the LCM of Fractions 272/93,510/93,410/735 is 55760

Greatest Common Factor of 93,93,735 By Matching Biggest Common Factor Method

Greatest Common Factor of 93,93,735 By Matching Biggest Common Factor Method

Factors of 93

List of positive integer factors of 93 that divides 93 without a remainder.

1,3,31,93

Factors of 93

List of positive integer factors of 93 that divides 93 without a remainder.

1,3,31,93

Factors of 735

List of positive integer factors of 735 that divides 735 without a remainder.

1,3,5,7,15,21,35,49,105,147,245,735

Greatest Common Factor

We found the factors 93,93,735 . The biggest common factor number is the GCF number.
So the greatest common factor 93,93,735 is 3.


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 272/93, 510/93, 410/735

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 272/93, 510/93, 410/735?

Answer: LCM of Numerators as per given numbers 272/93, 510/93, 410/735 is

LCM of Numerators i.e. for 272,510,410 is 167280

GCF of denominators i.e. for 93,93,735 is 3.

Thus, LCM of Fractions is 55760.Finally, LCM of Fractions for 272/93, 510/93, 410/735 is 55760.