Least Common Multiple of 708/42, 180/28, 782/411

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 708/42, 180/28, 782/411 quickly i.e. 4152420 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 708/42, 180/28, 782/411 is 4152420.

LCM(708/42, 180/28, 782/411) = 4152420

LCM of 708/42, 180/28, 782/411

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 708/42,180/28,782/411

Given numbers are 708/42,180/28,782/411

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 708,180,782

Least Common Multiple of Numerators i.e. LCM of 708,180,782 is 4152420.

GCF of Denominators means GCF of 42,28,411 as per the given fractions.

GCF of 42,28,411 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 708,180,782

LCM of Fractions 708/42,180/28,782/411 is 4152420

2 708, 180, 782
2 354, 90, 391
3 177, 45, 391
59, 15, 391

∴ So the LCM of the given numbers is 2 x 2 x 3 x 59 x 15 x 391 = 4152420

Least Common Multiple of 708,180,782 with GCF Formula

Least Common Multiple of 708,180,782 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 708,180,782 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(708,180,782) = 2

common factors(in case of two or more numbers have common factors) = 12

GCF(708,180,782) x common factors =2 x 12 = 24

LCM(708,180,782) = ( 708 × 180 × 782 ) / 24

LCM(708,180,782) = 99658080 / 24

LCM(708,180,782) = 4152420


Lets's calculate GCF of 42,28,411

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4152420/1

Therefore the LCM of Fractions 708/42,180/28,782/411 is 4152420

Greatest Common Factor of 42,28,411 By Matching Biggest Common Factor Method

Greatest Common Factor of 42,28,411 By Matching Biggest Common Factor Method

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 28

List of positive integer factors of 28 that divides 28 without a remainder.

1,2,4,7,14,28

Factors of 411

List of positive integer factors of 411 that divides 411 without a remainder.

1,3,137,411

Greatest Common Factor

We found the factors 42,28,411 . The biggest common factor number is the GCF number.
So the greatest common factor 42,28,411 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 708/42, 180/28, 782/411

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 708/42, 180/28, 782/411?

Answer: LCM of Numerators as per given numbers 708/42, 180/28, 782/411 is

LCM of Numerators i.e. for 708,180,782 is 4152420

GCF of denominators i.e. for 42,28,411 is 1.

Thus, LCM of Fractions is 4152420.Finally, LCM of Fractions for 708/42, 180/28, 782/411 is 4152420.