Least Common Multiple of 42/389, 445/287, 356/565

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 42/389, 445/287, 356/565 quickly i.e. 37380 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 42/389, 445/287, 356/565 is 37380.

LCM(42/389, 445/287, 356/565) = 37380

LCM of 42/389, 445/287, 356/565

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 42/389,445/287,356/565

Given numbers are 42/389,445/287,356/565

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 42,445,356

Least Common Multiple of Numerators i.e. LCM of 42,445,356 is 37380.

GCF of Denominators means GCF of 389,287,565 as per the given fractions.

GCF of 389,287,565 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 42,445,356

LCM of Fractions 42/389,445/287,356/565 is 37380

2 42, 445, 356
89 21, 445, 178
21, 5, 2

∴ So the LCM of the given numbers is 2 x 89 x 21 x 5 x 2 = 37380

Least Common Multiple of 42,445,356 with GCF Formula

Least Common Multiple of 42,445,356 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 42,445,356 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(42,445,356) = 1

common factors(in case of two or more numbers have common factors) = 178

GCF(42,445,356) x common factors =1 x 178 = 178

LCM(42,445,356) = ( 42 × 445 × 356 ) / 178

LCM(42,445,356) = 6653640 / 178

LCM(42,445,356) = 37380


Lets's calculate GCF of 389,287,565

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 37380/1

Therefore the LCM of Fractions 42/389,445/287,356/565 is 37380

Greatest Common Factor of 389,287,565 By Matching Biggest Common Factor Method

Greatest Common Factor of 389,287,565 By Matching Biggest Common Factor Method

Factors of 389

List of positive integer factors of 389 that divides 389 without a remainder.

1,389

Factors of 287

List of positive integer factors of 287 that divides 287 without a remainder.

1,7,41,287

Factors of 565

List of positive integer factors of 565 that divides 565 without a remainder.

1,5,113,565

Greatest Common Factor

We found the factors 389,287,565 . The biggest common factor number is the GCF number.
So the greatest common factor 389,287,565 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 42/389, 445/287, 356/565

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 42/389, 445/287, 356/565?

Answer: LCM of Numerators as per given numbers 42/389, 445/287, 356/565 is

LCM of Numerators i.e. for 42,445,356 is 37380

GCF of denominators i.e. for 389,287,565 is 1.

Thus, LCM of Fractions is 37380.Finally, LCM of Fractions for 42/389, 445/287, 356/565 is 37380.