Least Common Multiple of 594/735, 2780/255

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 594/735, 2780/255 quickly i.e. 55044 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 594/735, 2780/255 is 55044.

LCM(594/735, 2780/255) = 55044

LCM of 594/735, 2780/255

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 594/735,2780/255

Given numbers are 594/735,2780/255

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 594,2780

Least Common Multiple of Numerators i.e. LCM of 594,2780 is 825660.

GCF of Denominators means GCF of 735,255 as per the given fractions.

GCF of 735,255 is 15 as it is the largest common factor for these numbers.

Lets's calculate LCM of 594,2780

LCM of Fractions 594/735,2780/255 is 55044

2 594, 2780
297, 1390

∴ So the LCM of the given numbers is 2 x 297 x 1390 = 825660

Least Common Multiple of 594,2780 with GCF Formula

Least Common Multiple of 594,2780 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 594,2780 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(594,2780) = 2

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

GCF(594,2780) x common factors =2 x 1 = 2

LCM(594,2780) = ( 594 × 2780 ) / 2

LCM(594,2780) = 1651320 / 2

LCM(594,2780) = 825660


Lets's calculate GCF of 735,255

3 735, 255
5 245, 85
49, 17

∴ So the GCF of the given numbers is 3 x 5 = 15

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 825660/15

Therefore the LCM of Fractions 594/735,2780/255 is 55044

Greatest Common Factor of 735,255 By Matching Biggest Common Factor Method

Greatest Common Factor of 735,255 By Matching Biggest Common Factor Method

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

Factors of 255

List of positive integer factors of 255 that divides 255 without a remainder.

1,3,5,15,17,51,85,255

Greatest Common Factor

We found the factors 735,255 . The biggest common factor number is the GCF number.
So the greatest common factor 735,255 is 15.


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 594/735, 2780/255

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 594/735, 2780/255?

Answer: LCM of Numerators as per given numbers 594/735, 2780/255 is

LCM of Numerators i.e. for 594,2780 is 825660

GCF of denominators i.e. for 735,255 is 15.

Thus, LCM of Fractions is 55044.Finally, LCM of Fractions for 594/735, 2780/255 is 55044.