Least Common Multiple of 72/494, 60/115, 420/914

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 72/494, 60/115, 420/914 quickly i.e. 2520 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 72/494, 60/115, 420/914 is 2520.

LCM(72/494, 60/115, 420/914) = 2520

LCM of 72/494, 60/115, 420/914

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 72/494,60/115,420/914

Given numbers are 72/494,60/115,420/914

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 72,60,420

Least Common Multiple of Numerators i.e. LCM of 72,60,420 is 2520.

GCF of Denominators means GCF of 494,115,914 as per the given fractions.

GCF of 494,115,914 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 72,60,420

LCM of Fractions 72/494,60/115,420/914 is 2520

2 72, 60, 420
2 36, 30, 210
3 18, 15, 105
5 6, 5, 35
6, 1, 7

∴ So the LCM of the given numbers is 2 x 2 x 3 x 5 x 6 x 1 x 7 = 2520

Least Common Multiple of 72,60,420 with GCF Formula

Least Common Multiple of 72,60,420 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 72,60,420 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(72,60,420) = 12

common factors(in case of two or more numbers have common factors) = 60

GCF(72,60,420) x common factors =12 x 60 = 720

LCM(72,60,420) = ( 72 × 60 × 420 ) / 720

LCM(72,60,420) = 1814400 / 720

LCM(72,60,420) = 2520


Lets's calculate GCF of 494,115,914

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2520/1

Therefore the LCM of Fractions 72/494,60/115,420/914 is 2520

Greatest Common Factor of 494,115,914 By Matching Biggest Common Factor Method

Greatest Common Factor of 494,115,914 By Matching Biggest Common Factor Method

Factors of 494

List of positive integer factors of 494 that divides 494 without a remainder.

1,2,13,19,26,38,247,494

Factors of 115

List of positive integer factors of 115 that divides 115 without a remainder.

1,5,23,115

Factors of 914

List of positive integer factors of 914 that divides 914 without a remainder.

1,2,457,914

Greatest Common Factor

We found the factors 494,115,914 . The biggest common factor number is the GCF number.
So the greatest common factor 494,115,914 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 72/494, 60/115, 420/914

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 72/494, 60/115, 420/914?

Answer: LCM of Numerators as per given numbers 72/494, 60/115, 420/914 is

LCM of Numerators i.e. for 72,60,420 is 2520

GCF of denominators i.e. for 494,115,914 is 1.

Thus, LCM of Fractions is 2520.Finally, LCM of Fractions for 72/494, 60/115, 420/914 is 2520.