Least Common Multiple of 499/653, 340/452, 720/842

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 499/653, 340/452, 720/842 quickly i.e. 6107760 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 499/653, 340/452, 720/842 is 6107760.

LCM(499/653, 340/452, 720/842) = 6107760

LCM of 499/653, 340/452, 720/842

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 499/653,340/452,720/842

Given numbers are 499/653,340/452,720/842

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 499,340,720

Least Common Multiple of Numerators i.e. LCM of 499,340,720 is 6107760.

GCF of Denominators means GCF of 653,452,842 as per the given fractions.

GCF of 653,452,842 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 499,340,720

LCM of Fractions 499/653,340/452,720/842 is 6107760

2 499, 340, 720
2 499, 170, 360
5 499, 85, 180
499, 17, 36

∴ So the LCM of the given numbers is 2 x 2 x 5 x 499 x 17 x 36 = 6107760

Least Common Multiple of 499,340,720 with GCF Formula

Least Common Multiple of 499,340,720 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 499,340,720 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(499,340,720) = 1

common factors(in case of two or more numbers have common factors) = 20

GCF(499,340,720) x common factors =1 x 20 = 20

LCM(499,340,720) = ( 499 × 340 × 720 ) / 20

LCM(499,340,720) = 122155200 / 20

LCM(499,340,720) = 6107760


Lets's calculate GCF of 653,452,842

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6107760/1

Therefore the LCM of Fractions 499/653,340/452,720/842 is 6107760

Greatest Common Factor of 653,452,842 By Matching Biggest Common Factor Method

Greatest Common Factor of 653,452,842 By Matching Biggest Common Factor Method

Factors of 653

List of positive integer factors of 653 that divides 653 without a remainder.

1,653

Factors of 452

List of positive integer factors of 452 that divides 452 without a remainder.

1,2,4,113,226,452

Factors of 842

List of positive integer factors of 842 that divides 842 without a remainder.

1,2,421,842

Greatest Common Factor

We found the factors 653,452,842 . The biggest common factor number is the GCF number.
So the greatest common factor 653,452,842 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 499/653, 340/452, 720/842

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 499/653, 340/452, 720/842?

Answer: LCM of Numerators as per given numbers 499/653, 340/452, 720/842 is

LCM of Numerators i.e. for 499,340,720 is 6107760

GCF of denominators i.e. for 653,452,842 is 1.

Thus, LCM of Fractions is 6107760.Finally, LCM of Fractions for 499/653, 340/452, 720/842 is 6107760.