Least Common Multiple of 472/10, 798/71, 102/530

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 472/10, 798/71, 102/530 quickly i.e. 3201576 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 472/10, 798/71, 102/530 is 3201576.

LCM(472/10, 798/71, 102/530) = 3201576

LCM of 472/10, 798/71, 102/530

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 472/10,798/71,102/530

Given numbers are 472/10,798/71,102/530

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 472,798,102

Least Common Multiple of Numerators i.e. LCM of 472,798,102 is 3201576.

GCF of Denominators means GCF of 10,71,530 as per the given fractions.

GCF of 10,71,530 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 472,798,102

LCM of Fractions 472/10,798/71,102/530 is 3201576

2 472, 798, 102
3 236, 399, 51
236, 133, 17

∴ So the LCM of the given numbers is 2 x 3 x 236 x 133 x 17 = 3201576

Least Common Multiple of 472,798,102 with GCF Formula

Least Common Multiple of 472,798,102 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 472,798,102 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(472,798,102) = 2

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

GCF(472,798,102) x common factors =2 x 6 = 12

LCM(472,798,102) = ( 472 × 798 × 102 ) / 12

LCM(472,798,102) = 38418912 / 12

LCM(472,798,102) = 3201576


Lets's calculate GCF of 10,71,530

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3201576/1

Therefore the LCM of Fractions 472/10,798/71,102/530 is 3201576

Greatest Common Factor of 10,71,530 By Matching Biggest Common Factor Method

Greatest Common Factor of 10,71,530 By Matching Biggest Common Factor Method

Factors of 10

List of positive integer factors of 10 that divides 10 without a remainder.

1,2,5,10

Factors of 71

List of positive integer factors of 71 that divides 71 without a remainder.

1,71

Factors of 530

List of positive integer factors of 530 that divides 530 without a remainder.

1,2,5,10,53,106,265,530

Greatest Common Factor

We found the factors 10,71,530 . The biggest common factor number is the GCF number.
So the greatest common factor 10,71,530 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 472/10, 798/71, 102/530

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 472/10, 798/71, 102/530?

Answer: LCM of Numerators as per given numbers 472/10, 798/71, 102/530 is

LCM of Numerators i.e. for 472,798,102 is 3201576

GCF of denominators i.e. for 10,71,530 is 1.

Thus, LCM of Fractions is 3201576.Finally, LCM of Fractions for 472/10, 798/71, 102/530 is 3201576.