Least Common Multiple of 255/14, 675/35, 585/96

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 255/14, 675/35, 585/96 quickly i.e. 149175 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 255/14, 675/35, 585/96 is 149175.

LCM(255/14, 675/35, 585/96) = 149175

LCM of 255/14, 675/35, 585/96

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 255/14,675/35,585/96

Given numbers are 255/14,675/35,585/96

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 255,675,585

Least Common Multiple of Numerators i.e. LCM of 255,675,585 is 149175.

GCF of Denominators means GCF of 14,35,96 as per the given fractions.

GCF of 14,35,96 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 255,675,585

LCM of Fractions 255/14,675/35,585/96 is 149175

3 255, 675, 585
3 85, 225, 195
5 85, 75, 65
17, 15, 13

∴ So the LCM of the given numbers is 3 x 3 x 5 x 17 x 15 x 13 = 149175

Least Common Multiple of 255,675,585 with GCF Formula

Least Common Multiple of 255,675,585 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 255,675,585 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(255,675,585) = 15

common factors(in case of two or more numbers have common factors) = 45

GCF(255,675,585) x common factors =15 x 45 = 675

LCM(255,675,585) = ( 255 × 675 × 585 ) / 675

LCM(255,675,585) = 100693125 / 675

LCM(255,675,585) = 149175


Lets's calculate GCF of 14,35,96

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 149175/1

Therefore the LCM of Fractions 255/14,675/35,585/96 is 149175

Greatest Common Factor of 14,35,96 By Matching Biggest Common Factor Method

Greatest Common Factor of 14,35,96 By Matching Biggest Common Factor Method

Factors of 14

List of positive integer factors of 14 that divides 14 without a remainder.

1,2,7,14

Factors of 35

List of positive integer factors of 35 that divides 35 without a remainder.

1,5,7,35

Factors of 96

List of positive integer factors of 96 that divides 96 without a remainder.

1,2,3,4,6,8,12,16,24,32,48,96

Greatest Common Factor

We found the factors 14,35,96 . The biggest common factor number is the GCF number.
So the greatest common factor 14,35,96 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 255/14, 675/35, 585/96

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 255/14, 675/35, 585/96?

Answer: LCM of Numerators as per given numbers 255/14, 675/35, 585/96 is

LCM of Numerators i.e. for 255,675,585 is 149175

GCF of denominators i.e. for 14,35,96 is 1.

Thus, LCM of Fractions is 149175.Finally, LCM of Fractions for 255/14, 675/35, 585/96 is 149175.