Least Common Multiple of 810/378, 4765/3189

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 810/378, 4765/3189 quickly i.e. 257310 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 810/378, 4765/3189 is 257310.

LCM(810/378, 4765/3189) = 257310

LCM of 810/378, 4765/3189

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 810/378,4765/3189

Given numbers are 810/378,4765/3189

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 810,4765

Least Common Multiple of Numerators i.e. LCM of 810,4765 is 771930.

GCF of Denominators means GCF of 378,3189 as per the given fractions.

GCF of 378,3189 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 810,4765

LCM of Fractions 810/378,4765/3189 is 257310

5 810, 4765
162, 953

∴ So the LCM of the given numbers is 5 x 162 x 953 = 771930

Least Common Multiple of 810,4765 with GCF Formula

Least Common Multiple of 810,4765 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 810,4765 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(810,4765) = 5

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

GCF(810,4765) x common factors =5 x 1 = 5

LCM(810,4765) = ( 810 × 4765 ) / 5

LCM(810,4765) = 3859650 / 5

LCM(810,4765) = 771930


Lets's calculate GCF of 378,3189

3 378, 3189
126, 1063

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 771930/3

Therefore the LCM of Fractions 810/378,4765/3189 is 257310

Greatest Common Factor of 378,3189 By Matching Biggest Common Factor Method

Greatest Common Factor of 378,3189 By Matching Biggest Common Factor Method

Factors of 378

List of positive integer factors of 378 that divides 378 without a remainder.

1,2,3,6,7,9,14,18,21,27,42,54,63,126,189,378

Factors of 3189

List of positive integer factors of 3189 that divides 3189 without a remainder.

1,3,1063,3189

Greatest Common Factor

We found the factors 378,3189 . The biggest common factor number is the GCF number.
So the greatest common factor 378,3189 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 810/378, 4765/3189

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 810/378, 4765/3189?

Answer: LCM of Numerators as per given numbers 810/378, 4765/3189 is

LCM of Numerators i.e. for 810,4765 is 771930

GCF of denominators i.e. for 378,3189 is 3.

Thus, LCM of Fractions is 257310.Finally, LCM of Fractions for 810/378, 4765/3189 is 257310.