Least Common Multiple of 96/506, 490/623, 839/689

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 96/506, 490/623, 839/689 quickly i.e. 19733280 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 96/506, 490/623, 839/689 is 19733280.

LCM(96/506, 490/623, 839/689) = 19733280

LCM of 96/506, 490/623, 839/689

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 96/506,490/623,839/689

Given numbers are 96/506,490/623,839/689

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 96,490,839

Least Common Multiple of Numerators i.e. LCM of 96,490,839 is 19733280.

GCF of Denominators means GCF of 506,623,689 as per the given fractions.

GCF of 506,623,689 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 96,490,839

LCM of Fractions 96/506,490/623,839/689 is 19733280

2 96, 490, 839
48, 245, 839

∴ So the LCM of the given numbers is 2 x 48 x 245 x 839 = 19733280

Least Common Multiple of 96,490,839 with GCF Formula

Least Common Multiple of 96,490,839 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 96,490,839 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(96,490,839) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(96,490,839) x common factors =1 x 2 = 2

LCM(96,490,839) = ( 96 × 490 × 839 ) / 2

LCM(96,490,839) = 39466560 / 2

LCM(96,490,839) = 19733280


Lets's calculate GCF of 506,623,689

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 19733280/1

Therefore the LCM of Fractions 96/506,490/623,839/689 is 19733280

Greatest Common Factor of 506,623,689 By Matching Biggest Common Factor Method

Greatest Common Factor of 506,623,689 By Matching Biggest Common Factor Method

Factors of 506

List of positive integer factors of 506 that divides 506 without a remainder.

1,2,11,22,23,46,253,506

Factors of 623

List of positive integer factors of 623 that divides 623 without a remainder.

1,7,89,623

Factors of 689

List of positive integer factors of 689 that divides 689 without a remainder.

1,13,53,689

Greatest Common Factor

We found the factors 506,623,689 . The biggest common factor number is the GCF number.
So the greatest common factor 506,623,689 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 96/506, 490/623, 839/689

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 96/506, 490/623, 839/689?

Answer: LCM of Numerators as per given numbers 96/506, 490/623, 839/689 is

LCM of Numerators i.e. for 96,490,839 is 19733280

GCF of denominators i.e. for 506,623,689 is 1.

Thus, LCM of Fractions is 19733280.Finally, LCM of Fractions for 96/506, 490/623, 839/689 is 19733280.