Least Common Multiple of 68/459, 40/570, 673/637

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 68/459, 40/570, 673/637 quickly i.e. 457640 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 68/459, 40/570, 673/637 is 457640.

LCM(68/459, 40/570, 673/637) = 457640

LCM of 68/459, 40/570, 673/637

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 68/459,40/570,673/637

Given numbers are 68/459,40/570,673/637

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 68,40,673

Least Common Multiple of Numerators i.e. LCM of 68,40,673 is 457640.

GCF of Denominators means GCF of 459,570,637 as per the given fractions.

GCF of 459,570,637 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 68,40,673

LCM of Fractions 68/459,40/570,673/637 is 457640

2 68, 40, 673
2 34, 20, 673
17, 10, 673

∴ So the LCM of the given numbers is 2 x 2 x 17 x 10 x 673 = 457640

Least Common Multiple of 68,40,673 with GCF Formula

Least Common Multiple of 68,40,673 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 68,40,673 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(68,40,673) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(68,40,673) x common factors =1 x 4 = 4

LCM(68,40,673) = ( 68 × 40 × 673 ) / 4

LCM(68,40,673) = 1830560 / 4

LCM(68,40,673) = 457640


Lets's calculate GCF of 459,570,637

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 457640/1

Therefore the LCM of Fractions 68/459,40/570,673/637 is 457640

Greatest Common Factor of 459,570,637 By Matching Biggest Common Factor Method

Greatest Common Factor of 459,570,637 By Matching Biggest Common Factor Method

Factors of 459

List of positive integer factors of 459 that divides 459 without a remainder.

1,3,9,17,27,51,153,459

Factors of 570

List of positive integer factors of 570 that divides 570 without a remainder.

1,2,3,5,6,10,15,19,30,38,57,95,114,190,285,570

Factors of 637

List of positive integer factors of 637 that divides 637 without a remainder.

1,7,13,49,91,637

Greatest Common Factor

We found the factors 459,570,637 . The biggest common factor number is the GCF number.
So the greatest common factor 459,570,637 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 68/459, 40/570, 673/637

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 68/459, 40/570, 673/637?

Answer: LCM of Numerators as per given numbers 68/459, 40/570, 673/637 is

LCM of Numerators i.e. for 68,40,673 is 457640

GCF of denominators i.e. for 459,570,637 is 1.

Thus, LCM of Fractions is 457640.Finally, LCM of Fractions for 68/459, 40/570, 673/637 is 457640.