Least Common Multiple of 51/586, 609/210, 998/122

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 51/586, 609/210, 998/122 quickly i.e. 5166147 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 51/586, 609/210, 998/122 is 5166147.

LCM(51/586, 609/210, 998/122) = 5166147

LCM of 51/586, 609/210, 998/122

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 51/586,609/210,998/122

Given numbers are 51/586,609/210,998/122

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 51,609,998

Least Common Multiple of Numerators i.e. LCM of 51,609,998 is 10332294.

GCF of Denominators means GCF of 586,210,122 as per the given fractions.

GCF of 586,210,122 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 51,609,998

LCM of Fractions 51/586,609/210,998/122 is 5166147

3 51, 609, 998
17, 203, 998

∴ So the LCM of the given numbers is 3 x 17 x 203 x 998 = 10332294

Least Common Multiple of 51,609,998 with GCF Formula

Least Common Multiple of 51,609,998 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 51,609,998 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(51,609,998) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(51,609,998) x common factors =1 x 3 = 3

LCM(51,609,998) = ( 51 × 609 × 998 ) / 3

LCM(51,609,998) = 30996882 / 3

LCM(51,609,998) = 10332294


Lets's calculate GCF of 586,210,122

2 586, 210, 122
293, 105, 61

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 10332294/2

Therefore the LCM of Fractions 51/586,609/210,998/122 is 5166147

Greatest Common Factor of 586,210,122 By Matching Biggest Common Factor Method

Greatest Common Factor of 586,210,122 By Matching Biggest Common Factor Method

Factors of 586

List of positive integer factors of 586 that divides 586 without a remainder.

1,2,293,586

Factors of 210

List of positive integer factors of 210 that divides 210 without a remainder.

1,2,3,5,6,7,10,14,15,21,30,35,42,70,105,210

Factors of 122

List of positive integer factors of 122 that divides 122 without a remainder.

1,2,61,122

Greatest Common Factor

We found the factors 586,210,122 . The biggest common factor number is the GCF number.
So the greatest common factor 586,210,122 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 51/586, 609/210, 998/122

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 51/586, 609/210, 998/122?

Answer: LCM of Numerators as per given numbers 51/586, 609/210, 998/122 is

LCM of Numerators i.e. for 51,609,998 is 10332294

GCF of denominators i.e. for 586,210,122 is 2.

Thus, LCM of Fractions is 5166147.Finally, LCM of Fractions for 51/586, 609/210, 998/122 is 5166147.