Least Common Multiple of 30/844, 51/826, 487/210

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 30/844, 51/826, 487/210 quickly i.e. 124185 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 30/844, 51/826, 487/210 is 124185.

LCM(30/844, 51/826, 487/210) = 124185

LCM of 30/844, 51/826, 487/210

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 30/844,51/826,487/210

Given numbers are 30/844,51/826,487/210

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 30,51,487

Least Common Multiple of Numerators i.e. LCM of 30,51,487 is 248370.

GCF of Denominators means GCF of 844,826,210 as per the given fractions.

GCF of 844,826,210 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 30,51,487

LCM of Fractions 30/844,51/826,487/210 is 124185

3 30, 51, 487
10, 17, 487

∴ So the LCM of the given numbers is 3 x 10 x 17 x 487 = 248370

Least Common Multiple of 30,51,487 with GCF Formula

Least Common Multiple of 30,51,487 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 30,51,487 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(30,51,487) = 1

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

GCF(30,51,487) x common factors =1 x 3 = 3

LCM(30,51,487) = ( 30 × 51 × 487 ) / 3

LCM(30,51,487) = 745110 / 3

LCM(30,51,487) = 248370


Lets's calculate GCF of 844,826,210

2 844, 826, 210
422, 413, 105

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 248370/2

Therefore the LCM of Fractions 30/844,51/826,487/210 is 124185

Greatest Common Factor of 844,826,210 By Matching Biggest Common Factor Method

Greatest Common Factor of 844,826,210 By Matching Biggest Common Factor Method

Factors of 844

List of positive integer factors of 844 that divides 844 without a remainder.

1,2,4,211,422,844

Factors of 826

List of positive integer factors of 826 that divides 826 without a remainder.

1,2,7,14,59,118,413,826

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

Greatest Common Factor

We found the factors 844,826,210 . The biggest common factor number is the GCF number.
So the greatest common factor 844,826,210 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 30/844, 51/826, 487/210

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 30/844, 51/826, 487/210?

Answer: LCM of Numerators as per given numbers 30/844, 51/826, 487/210 is

LCM of Numerators i.e. for 30,51,487 is 248370

GCF of denominators i.e. for 844,826,210 is 2.

Thus, LCM of Fractions is 124185.Finally, LCM of Fractions for 30/844, 51/826, 487/210 is 124185.