Least Common Multiple of 575/30, 678/5385

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 575/30, 678/5385 quickly i.e. 25990 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 575/30, 678/5385 is 25990.

LCM(575/30, 678/5385) = 25990

LCM of 575/30, 678/5385

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 575/30,678/5385

Given numbers are 575/30,678/5385

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 575,678

Least Common Multiple of Numerators i.e. LCM of 575,678 is 389850.

GCF of Denominators means GCF of 30,5385 as per the given fractions.

GCF of 30,5385 is 15 as it is the largest common factor for these numbers.

Lets's calculate LCM of 575,678

LCM of Fractions 575/30,678/5385 is 25990

Given numbers has no common factors except 1. So, there LCM is their product i.e 389850

Least Common Multiple of 575,678 with GCF Formula

Least Common Multiple of 575,678 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 575,678 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(575,678) = 1

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

GCF(575,678) x common factors =1 x 1 = 1

LCM(575,678) = ( 575 × 678 ) / 1

LCM(575,678) = 389850 / 1

LCM(575,678) = 389850


Lets's calculate GCF of 30,5385

3 30, 5385
5 10, 1795
2, 359

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 389850/15

Therefore the LCM of Fractions 575/30,678/5385 is 25990

Greatest Common Factor of 30,5385 By Matching Biggest Common Factor Method

Greatest Common Factor of 30,5385 By Matching Biggest Common Factor Method

Factors of 30

List of positive integer factors of 30 that divides 30 without a remainder.

1,2,3,5,6,10,15,30

Factors of 5385

List of positive integer factors of 5385 that divides 5385 without a remainder.

1,3,5,15,359,1077,1795,5385

Greatest Common Factor

We found the factors 30,5385 . The biggest common factor number is the GCF number.
So the greatest common factor 30,5385 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 575/30, 678/5385

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 575/30, 678/5385?

Answer: LCM of Numerators as per given numbers 575/30, 678/5385 is

LCM of Numerators i.e. for 575,678 is 389850

GCF of denominators i.e. for 30,5385 is 15.

Thus, LCM of Fractions is 25990.Finally, LCM of Fractions for 575/30, 678/5385 is 25990.