Least Common Multiple of 74/15, 81/42, 570/862

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 74/15, 81/42, 570/862 quickly i.e. 569430 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 74/15, 81/42, 570/862 is 569430.

LCM(74/15, 81/42, 570/862) = 569430

LCM of 74/15, 81/42, 570/862

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 74/15,81/42,570/862

Given numbers are 74/15,81/42,570/862

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 74,81,570

Least Common Multiple of Numerators i.e. LCM of 74,81,570 is 569430.

GCF of Denominators means GCF of 15,42,862 as per the given fractions.

GCF of 15,42,862 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 74,81,570

LCM of Fractions 74/15,81/42,570/862 is 569430

2 74, 81, 570
3 37, 81, 285
37, 27, 95

∴ So the LCM of the given numbers is 2 x 3 x 37 x 27 x 95 = 569430

Least Common Multiple of 74,81,570 with GCF Formula

Least Common Multiple of 74,81,570 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 74,81,570 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(74,81,570) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(74,81,570) x common factors =1 x 6 = 6

LCM(74,81,570) = ( 74 × 81 × 570 ) / 6

LCM(74,81,570) = 3416580 / 6

LCM(74,81,570) = 569430


Lets's calculate GCF of 15,42,862

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 569430/1

Therefore the LCM of Fractions 74/15,81/42,570/862 is 569430

Greatest Common Factor of 15,42,862 By Matching Biggest Common Factor Method

Greatest Common Factor of 15,42,862 By Matching Biggest Common Factor Method

Factors of 15

List of positive integer factors of 15 that divides 15 without a remainder.

1,3,5,15

Factors of 42

List of positive integer factors of 42 that divides 42 without a remainder.

1,2,3,6,7,14,21,42

Factors of 862

List of positive integer factors of 862 that divides 862 without a remainder.

1,2,431,862

Greatest Common Factor

We found the factors 15,42,862 . The biggest common factor number is the GCF number.
So the greatest common factor 15,42,862 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 74/15, 81/42, 570/862

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 74/15, 81/42, 570/862?

Answer: LCM of Numerators as per given numbers 74/15, 81/42, 570/862 is

LCM of Numerators i.e. for 74,81,570 is 569430

GCF of denominators i.e. for 15,42,862 is 1.

Thus, LCM of Fractions is 569430.Finally, LCM of Fractions for 74/15, 81/42, 570/862 is 569430.