Least Common Multiple of 47/30, 10/40, 19/53, 51/162

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 47/30, 10/40, 19/53, 51/162 quickly i.e. 455430 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 47/30, 10/40, 19/53, 51/162 is 455430.

LCM(47/30, 10/40, 19/53, 51/162) = 455430

LCM of 47/30, 10/40, 19/53, 51/162

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 47/30,10/40,19/53,51/162

Given numbers are 47/30,10/40,19/53,51/162

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 47,10,19,51

Least Common Multiple of Numerators i.e. LCM of 47,10,19,51 is 455430.

GCF of Denominators means GCF of 30,40,53,162 as per the given fractions.

GCF of 30,40,53,162 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 47,10,19,51

LCM of Fractions 47/30,10/40,19/53,51/162 is 455430

Given numbers has no common factors except 1. So, there LCM is their product i.e 455430

Least Common Multiple of 47,10,19,51 with GCF Formula

Least Common Multiple of 47,10,19,51 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 47,10,19,51 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(47,10,19,51) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(47,10,19,51) x common factors =1 x 1 = 1

LCM(47,10,19,51) = ( 47 × 10 × 19 × 51 ) / 1

LCM(47,10,19,51) = 455430 / 1

LCM(47,10,19,51) = 455430


Lets's calculate GCF of 30,40,53,162

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 455430/1

Therefore the LCM of Fractions 47/30,10/40,19/53,51/162 is 455430

Greatest Common Factor of 30,40,53,162 By Matching Biggest Common Factor Method

Greatest Common Factor of 30,40,53,162 By Matching Biggest Common Factor Method

Factors of 30

List of positive integer factors of 30 that divides 30 without a remainder.

1,2,3,5,6,10,15,30

Factors of 40

List of positive integer factors of 40 that divides 40 without a remainder.

1,2,4,5,8,10,20,40

Factors of 53

List of positive integer factors of 53 that divides 53 without a remainder.

1,53

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 30,40,53,162 . The biggest common factor number is the GCF number.
So the greatest common factor 30,40,53,162 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 47/30, 10/40, 19/53, 51/162

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 47/30, 10/40, 19/53, 51/162?

Answer: LCM of Numerators as per given numbers 47/30, 10/40, 19/53, 51/162 is

LCM of Numerators i.e. for 47,10,19,51 is 455430

GCF of denominators i.e. for 30,40,53,162 is 1.

Thus, LCM of Fractions is 455430.Finally, LCM of Fractions for 47/30, 10/40, 19/53, 51/162 is 455430.