Least Common Multiple of 724/11, 893/49, 917/886

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 724/11, 893/49, 917/886 quickly i.e. 592869844 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 724/11, 893/49, 917/886 is 592869844.

LCM(724/11, 893/49, 917/886) = 592869844

LCM of 724/11, 893/49, 917/886

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 724/11,893/49,917/886

Given numbers are 724/11,893/49,917/886

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 724,893,917

Least Common Multiple of Numerators i.e. LCM of 724,893,917 is 592869844.

GCF of Denominators means GCF of 11,49,886 as per the given fractions.

GCF of 11,49,886 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 724,893,917

LCM of Fractions 724/11,893/49,917/886 is 592869844

Given numbers has no common factors except 1. So, there LCM is their product i.e 592869844

Least Common Multiple of 724,893,917 with GCF Formula

Least Common Multiple of 724,893,917 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 724,893,917 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(724,893,917) = 1

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

GCF(724,893,917) x common factors =1 x 1 = 1

LCM(724,893,917) = ( 724 × 893 × 917 ) / 1

LCM(724,893,917) = 592869844 / 1

LCM(724,893,917) = 592869844


Lets's calculate GCF of 11,49,886

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 592869844/1

Therefore the LCM of Fractions 724/11,893/49,917/886 is 592869844

Greatest Common Factor of 11,49,886 By Matching Biggest Common Factor Method

Greatest Common Factor of 11,49,886 By Matching Biggest Common Factor Method

Factors of 11

List of positive integer factors of 11 that divides 11 without a remainder.

1,11

Factors of 49

List of positive integer factors of 49 that divides 49 without a remainder.

1,7,49

Factors of 886

List of positive integer factors of 886 that divides 886 without a remainder.

1,2,443,886

Greatest Common Factor

We found the factors 11,49,886 . The biggest common factor number is the GCF number.
So the greatest common factor 11,49,886 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 724/11, 893/49, 917/886

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 724/11, 893/49, 917/886?

Answer: LCM of Numerators as per given numbers 724/11, 893/49, 917/886 is

LCM of Numerators i.e. for 724,893,917 is 592869844

GCF of denominators i.e. for 11,49,886 is 1.

Thus, LCM of Fractions is 592869844.Finally, LCM of Fractions for 724/11, 893/49, 917/886 is 592869844.