Least Common Multiple of 15/867, 557/693, 892/399

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 15/867, 557/693, 892/399 quickly i.e. 2484220 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 15/867, 557/693, 892/399 is 2484220.

LCM(15/867, 557/693, 892/399) = 2484220

LCM of 15/867, 557/693, 892/399

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 15/867,557/693,892/399

Given numbers are 15/867,557/693,892/399

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 15,557,892

Least Common Multiple of Numerators i.e. LCM of 15,557,892 is 7452660.

GCF of Denominators means GCF of 867,693,399 as per the given fractions.

GCF of 867,693,399 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 15,557,892

LCM of Fractions 15/867,557/693,892/399 is 2484220

Given numbers has no common factors except 1. So, there LCM is their product i.e 7452660

Least Common Multiple of 15,557,892 with GCF Formula

Least Common Multiple of 15,557,892 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 15,557,892 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(15,557,892) = 1

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

GCF(15,557,892) x common factors =1 x 1 = 1

LCM(15,557,892) = ( 15 × 557 × 892 ) / 1

LCM(15,557,892) = 7452660 / 1

LCM(15,557,892) = 7452660


Lets's calculate GCF of 867,693,399

3 867, 693, 399
289, 231, 133

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7452660/3

Therefore the LCM of Fractions 15/867,557/693,892/399 is 2484220

Greatest Common Factor of 867,693,399 By Matching Biggest Common Factor Method

Greatest Common Factor of 867,693,399 By Matching Biggest Common Factor Method

Factors of 867

List of positive integer factors of 867 that divides 867 without a remainder.

1,3,17,51,289,867

Factors of 693

List of positive integer factors of 693 that divides 693 without a remainder.

1,3,7,9,11,21,33,63,77,99,231,693

Factors of 399

List of positive integer factors of 399 that divides 399 without a remainder.

1,3,7,19,21,57,133,399

Greatest Common Factor

We found the factors 867,693,399 . The biggest common factor number is the GCF number.
So the greatest common factor 867,693,399 is 3.


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 15/867, 557/693, 892/399

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 15/867, 557/693, 892/399?

Answer: LCM of Numerators as per given numbers 15/867, 557/693, 892/399 is

LCM of Numerators i.e. for 15,557,892 is 7452660

GCF of denominators i.e. for 867,693,399 is 3.

Thus, LCM of Fractions is 2484220.Finally, LCM of Fractions for 15/867, 557/693, 892/399 is 2484220.