Least Common Multiple of 30/469, 572/960, 515/952

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 30/469, 572/960, 515/952 quickly i.e. 883740 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 30/469, 572/960, 515/952 is 883740.

LCM(30/469, 572/960, 515/952) = 883740

LCM of 30/469, 572/960, 515/952

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 30/469,572/960,515/952

Given numbers are 30/469,572/960,515/952

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 30,572,515

Least Common Multiple of Numerators i.e. LCM of 30,572,515 is 883740.

GCF of Denominators means GCF of 469,960,952 as per the given fractions.

GCF of 469,960,952 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 30,572,515

LCM of Fractions 30/469,572/960,515/952 is 883740

2 30, 572, 515
5 15, 286, 515
3, 286, 103

∴ So the LCM of the given numbers is 2 x 5 x 3 x 286 x 103 = 883740

Least Common Multiple of 30,572,515 with GCF Formula

Least Common Multiple of 30,572,515 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 30,572,515 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(30,572,515) = 1

common factors(in case of two or more numbers have common factors) = 10

GCF(30,572,515) x common factors =1 x 10 = 10

LCM(30,572,515) = ( 30 × 572 × 515 ) / 10

LCM(30,572,515) = 8837400 / 10

LCM(30,572,515) = 883740


Lets's calculate GCF of 469,960,952

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 883740/1

Therefore the LCM of Fractions 30/469,572/960,515/952 is 883740

Greatest Common Factor of 469,960,952 By Matching Biggest Common Factor Method

Greatest Common Factor of 469,960,952 By Matching Biggest Common Factor Method

Factors of 469

List of positive integer factors of 469 that divides 469 without a remainder.

1,7,67,469

Factors of 960

List of positive integer factors of 960 that divides 960 without a remainder.

1,2,3,4,5,6,8,10,12,15,16,20,24,30,32,40,48,60,64,80,96,120,160,192,240,320,480,960

Factors of 952

List of positive integer factors of 952 that divides 952 without a remainder.

1,2,4,7,8,14,17,28,34,56,68,119,136,238,476,952

Greatest Common Factor

We found the factors 469,960,952 . The biggest common factor number is the GCF number.
So the greatest common factor 469,960,952 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 30/469, 572/960, 515/952

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 30/469, 572/960, 515/952?

Answer: LCM of Numerators as per given numbers 30/469, 572/960, 515/952 is

LCM of Numerators i.e. for 30,572,515 is 883740

GCF of denominators i.e. for 469,960,952 is 1.

Thus, LCM of Fractions is 883740.Finally, LCM of Fractions for 30/469, 572/960, 515/952 is 883740.