Least Common Multiple of 15/945, 482/688, 744/999

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 15/945, 482/688, 744/999 quickly i.e. 896520 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 15/945, 482/688, 744/999 is 896520.

LCM(15/945, 482/688, 744/999) = 896520

LCM of 15/945, 482/688, 744/999

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 15/945,482/688,744/999

Given numbers are 15/945,482/688,744/999

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 15,482,744

Least Common Multiple of Numerators i.e. LCM of 15,482,744 is 896520.

GCF of Denominators means GCF of 945,688,999 as per the given fractions.

GCF of 945,688,999 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 15,482,744

LCM of Fractions 15/945,482/688,744/999 is 896520

2 15, 482, 744
3 15, 241, 372
5, 241, 124

∴ So the LCM of the given numbers is 2 x 3 x 5 x 241 x 124 = 896520

Least Common Multiple of 15,482,744 with GCF Formula

Least Common Multiple of 15,482,744 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 15,482,744 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(15,482,744) = 1

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

GCF(15,482,744) x common factors =1 x 6 = 6

LCM(15,482,744) = ( 15 × 482 × 744 ) / 6

LCM(15,482,744) = 5379120 / 6

LCM(15,482,744) = 896520


Lets's calculate GCF of 945,688,999

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 896520/1

Therefore the LCM of Fractions 15/945,482/688,744/999 is 896520

Greatest Common Factor of 945,688,999 By Matching Biggest Common Factor Method

Greatest Common Factor of 945,688,999 By Matching Biggest Common Factor Method

Factors of 945

List of positive integer factors of 945 that divides 945 without a remainder.

1,3,5,7,9,15,21,27,35,45,63,105,135,189,315,945

Factors of 688

List of positive integer factors of 688 that divides 688 without a remainder.

1,2,4,8,16,43,86,172,344,688

Factors of 999

List of positive integer factors of 999 that divides 999 without a remainder.

1,3,9,27,37,111,333,999

Greatest Common Factor

We found the factors 945,688,999 . The biggest common factor number is the GCF number.
So the greatest common factor 945,688,999 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 15/945, 482/688, 744/999

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 15/945, 482/688, 744/999?

Answer: LCM of Numerators as per given numbers 15/945, 482/688, 744/999 is

LCM of Numerators i.e. for 15,482,744 is 896520

GCF of denominators i.e. for 945,688,999 is 1.

Thus, LCM of Fractions is 896520.Finally, LCM of Fractions for 15/945, 482/688, 744/999 is 896520.