Least Common Multiple of 51/406, 12/898, 998/724

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 51/406, 12/898, 998/724 quickly i.e. 50898 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 51/406, 12/898, 998/724 is 50898.

LCM(51/406, 12/898, 998/724) = 50898

LCM of 51/406, 12/898, 998/724

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 51/406,12/898,998/724

Given numbers are 51/406,12/898,998/724

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 51,12,998

Least Common Multiple of Numerators i.e. LCM of 51,12,998 is 101796.

GCF of Denominators means GCF of 406,898,724 as per the given fractions.

GCF of 406,898,724 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 51,12,998

LCM of Fractions 51/406,12/898,998/724 is 50898

2 51, 12, 998
3 51, 6, 499
17, 2, 499

∴ So the LCM of the given numbers is 2 x 3 x 17 x 2 x 499 = 101796

Least Common Multiple of 51,12,998 with GCF Formula

Least Common Multiple of 51,12,998 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 51,12,998 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(51,12,998) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(51,12,998) x common factors =1 x 6 = 6

LCM(51,12,998) = ( 51 × 12 × 998 ) / 6

LCM(51,12,998) = 610776 / 6

LCM(51,12,998) = 101796


Lets's calculate GCF of 406,898,724

2 406, 898, 724
203, 449, 362

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 101796/2

Therefore the LCM of Fractions 51/406,12/898,998/724 is 50898

Greatest Common Factor of 406,898,724 By Matching Biggest Common Factor Method

Greatest Common Factor of 406,898,724 By Matching Biggest Common Factor Method

Factors of 406

List of positive integer factors of 406 that divides 406 without a remainder.

1,2,7,14,29,58,203,406

Factors of 898

List of positive integer factors of 898 that divides 898 without a remainder.

1,2,449,898

Factors of 724

List of positive integer factors of 724 that divides 724 without a remainder.

1,2,4,181,362,724

Greatest Common Factor

We found the factors 406,898,724 . The biggest common factor number is the GCF number.
So the greatest common factor 406,898,724 is 2.


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 51/406, 12/898, 998/724

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 51/406, 12/898, 998/724?

Answer: LCM of Numerators as per given numbers 51/406, 12/898, 998/724 is

LCM of Numerators i.e. for 51,12,998 is 101796

GCF of denominators i.e. for 406,898,724 is 2.

Thus, LCM of Fractions is 50898.Finally, LCM of Fractions for 51/406, 12/898, 998/724 is 50898.