Least Common Multiple of 60/734, 44/828, 486/423

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 60/734, 44/828, 486/423 quickly i.e. 53460 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 60/734, 44/828, 486/423 is 53460.

LCM(60/734, 44/828, 486/423) = 53460

LCM of 60/734, 44/828, 486/423

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 60/734,44/828,486/423

Given numbers are 60/734,44/828,486/423

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 60,44,486

Least Common Multiple of Numerators i.e. LCM of 60,44,486 is 53460.

GCF of Denominators means GCF of 734,828,423 as per the given fractions.

GCF of 734,828,423 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 60,44,486

LCM of Fractions 60/734,44/828,486/423 is 53460

2 60, 44, 486
2 30, 22, 243
3 15, 11, 243
5, 11, 81

∴ So the LCM of the given numbers is 2 x 2 x 3 x 5 x 11 x 81 = 53460

Least Common Multiple of 60,44,486 with GCF Formula

Least Common Multiple of 60,44,486 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 60,44,486 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(60,44,486) = 2

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

GCF(60,44,486) x common factors =2 x 12 = 24

LCM(60,44,486) = ( 60 × 44 × 486 ) / 24

LCM(60,44,486) = 1283040 / 24

LCM(60,44,486) = 53460


Lets's calculate GCF of 734,828,423

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 53460/1

Therefore the LCM of Fractions 60/734,44/828,486/423 is 53460

Greatest Common Factor of 734,828,423 By Matching Biggest Common Factor Method

Greatest Common Factor of 734,828,423 By Matching Biggest Common Factor Method

Factors of 734

List of positive integer factors of 734 that divides 734 without a remainder.

1,2,367,734

Factors of 828

List of positive integer factors of 828 that divides 828 without a remainder.

1,2,3,4,6,9,12,18,23,36,46,69,92,138,207,276,414,828

Factors of 423

List of positive integer factors of 423 that divides 423 without a remainder.

1,3,9,47,141,423

Greatest Common Factor

We found the factors 734,828,423 . The biggest common factor number is the GCF number.
So the greatest common factor 734,828,423 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 60/734, 44/828, 486/423

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 60/734, 44/828, 486/423?

Answer: LCM of Numerators as per given numbers 60/734, 44/828, 486/423 is

LCM of Numerators i.e. for 60,44,486 is 53460

GCF of denominators i.e. for 734,828,423 is 1.

Thus, LCM of Fractions is 53460.Finally, LCM of Fractions for 60/734, 44/828, 486/423 is 53460.