Least Common Multiple of 189/378, 265/473, 280/269

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 189/378, 265/473, 280/269 quickly i.e. 400680 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 189/378, 265/473, 280/269 is 400680.

LCM(189/378, 265/473, 280/269) = 400680

LCM of 189/378, 265/473, 280/269

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 189/378,265/473,280/269

Given numbers are 189/378,265/473,280/269

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 189,265,280

Least Common Multiple of Numerators i.e. LCM of 189,265,280 is 400680.

GCF of Denominators means GCF of 378,473,269 as per the given fractions.

GCF of 378,473,269 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 189,265,280

LCM of Fractions 189/378,265/473,280/269 is 400680

5 189, 265, 280
7 189, 53, 56
27, 53, 8

∴ So the LCM of the given numbers is 5 x 7 x 27 x 53 x 8 = 400680

Least Common Multiple of 189,265,280 with GCF Formula

Least Common Multiple of 189,265,280 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 189,265,280 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(189,265,280) = 1

common factors(in case of two or more numbers have common factors) = 35

GCF(189,265,280) x common factors =1 x 35 = 35

LCM(189,265,280) = ( 189 × 265 × 280 ) / 35

LCM(189,265,280) = 14023800 / 35

LCM(189,265,280) = 400680


Lets's calculate GCF of 378,473,269

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 400680/1

Therefore the LCM of Fractions 189/378,265/473,280/269 is 400680

Greatest Common Factor of 378,473,269 By Matching Biggest Common Factor Method

Greatest Common Factor of 378,473,269 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 473

List of positive integer factors of 473 that divides 473 without a remainder.

1,11,43,473

Factors of 269

List of positive integer factors of 269 that divides 269 without a remainder.

1,269

Greatest Common Factor

We found the factors 378,473,269 . The biggest common factor number is the GCF number.
So the greatest common factor 378,473,269 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 189/378, 265/473, 280/269

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 189/378, 265/473, 280/269?

Answer: LCM of Numerators as per given numbers 189/378, 265/473, 280/269 is

LCM of Numerators i.e. for 189,265,280 is 400680

GCF of denominators i.e. for 378,473,269 is 1.

Thus, LCM of Fractions is 400680.Finally, LCM of Fractions for 189/378, 265/473, 280/269 is 400680.