Least Common Multiple of 42/747, 35/660, 492/478

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 42/747, 35/660, 492/478 quickly i.e. 17220 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 42/747, 35/660, 492/478 is 17220.

LCM(42/747, 35/660, 492/478) = 17220

LCM of 42/747, 35/660, 492/478

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 42/747,35/660,492/478

Given numbers are 42/747,35/660,492/478

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 42,35,492

Least Common Multiple of Numerators i.e. LCM of 42,35,492 is 17220.

GCF of Denominators means GCF of 747,660,478 as per the given fractions.

GCF of 747,660,478 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 42,35,492

LCM of Fractions 42/747,35/660,492/478 is 17220

2 42, 35, 492
3 21, 35, 246
7 7, 35, 82
1, 5, 82

∴ So the LCM of the given numbers is 2 x 3 x 7 x 1 x 5 x 82 = 17220

Least Common Multiple of 42,35,492 with GCF Formula

Least Common Multiple of 42,35,492 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 42,35,492 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(42,35,492) = 1

common factors(in case of two or more numbers have common factors) = 42

GCF(42,35,492) x common factors =1 x 42 = 42

LCM(42,35,492) = ( 42 × 35 × 492 ) / 42

LCM(42,35,492) = 723240 / 42

LCM(42,35,492) = 17220


Lets's calculate GCF of 747,660,478

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 17220/1

Therefore the LCM of Fractions 42/747,35/660,492/478 is 17220

Greatest Common Factor of 747,660,478 By Matching Biggest Common Factor Method

Greatest Common Factor of 747,660,478 By Matching Biggest Common Factor Method

Factors of 747

List of positive integer factors of 747 that divides 747 without a remainder.

1,3,9,83,249,747

Factors of 660

List of positive integer factors of 660 that divides 660 without a remainder.

1,2,3,4,5,6,10,11,12,15,20,22,30,33,44,55,60,66,110,132,165,220,330,660

Factors of 478

List of positive integer factors of 478 that divides 478 without a remainder.

1,2,239,478

Greatest Common Factor

We found the factors 747,660,478 . The biggest common factor number is the GCF number.
So the greatest common factor 747,660,478 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 42/747, 35/660, 492/478

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 42/747, 35/660, 492/478?

Answer: LCM of Numerators as per given numbers 42/747, 35/660, 492/478 is

LCM of Numerators i.e. for 42,35,492 is 17220

GCF of denominators i.e. for 747,660,478 is 1.

Thus, LCM of Fractions is 17220.Finally, LCM of Fractions for 42/747, 35/660, 492/478 is 17220.