Least Common Multiple of 51/20, 30/643, 970/162

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 51/20, 30/643, 970/162 quickly i.e. 49470 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 51/20, 30/643, 970/162 is 49470.

LCM(51/20, 30/643, 970/162) = 49470

LCM of 51/20, 30/643, 970/162

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 51/20,30/643,970/162

Given numbers are 51/20,30/643,970/162

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 51,30,970

Least Common Multiple of Numerators i.e. LCM of 51,30,970 is 49470.

GCF of Denominators means GCF of 20,643,162 as per the given fractions.

GCF of 20,643,162 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 51,30,970

LCM of Fractions 51/20,30/643,970/162 is 49470

2 51, 30, 970
3 51, 15, 485
5 17, 5, 485
17, 1, 97

∴ So the LCM of the given numbers is 2 x 3 x 5 x 17 x 1 x 97 = 49470

Least Common Multiple of 51,30,970 with GCF Formula

Least Common Multiple of 51,30,970 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 51,30,970 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(51,30,970) = 1

common factors(in case of two or more numbers have common factors) = 30

GCF(51,30,970) x common factors =1 x 30 = 30

LCM(51,30,970) = ( 51 × 30 × 970 ) / 30

LCM(51,30,970) = 1484100 / 30

LCM(51,30,970) = 49470


Lets's calculate GCF of 20,643,162

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 49470/1

Therefore the LCM of Fractions 51/20,30/643,970/162 is 49470

Greatest Common Factor of 20,643,162 By Matching Biggest Common Factor Method

Greatest Common Factor of 20,643,162 By Matching Biggest Common Factor Method

Factors of 20

List of positive integer factors of 20 that divides 20 without a remainder.

1,2,4,5,10,20

Factors of 643

List of positive integer factors of 643 that divides 643 without a remainder.

1,643

Factors of 162

List of positive integer factors of 162 that divides 162 without a remainder.

1,2,3,6,9,18,27,54,81,162

Greatest Common Factor

We found the factors 20,643,162 . The biggest common factor number is the GCF number.
So the greatest common factor 20,643,162 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 51/20, 30/643, 970/162

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 51/20, 30/643, 970/162?

Answer: LCM of Numerators as per given numbers 51/20, 30/643, 970/162 is

LCM of Numerators i.e. for 51,30,970 is 49470

GCF of denominators i.e. for 20,643,162 is 1.

Thus, LCM of Fractions is 49470.Finally, LCM of Fractions for 51/20, 30/643, 970/162 is 49470.