Least Common Multiple of 52/917, 108/199, 385/726

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 52/917, 108/199, 385/726 quickly i.e. 540540 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 52/917, 108/199, 385/726 is 540540.

LCM(52/917, 108/199, 385/726) = 540540

LCM of 52/917, 108/199, 385/726

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 52/917,108/199,385/726

Given numbers are 52/917,108/199,385/726

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 52,108,385

Least Common Multiple of Numerators i.e. LCM of 52,108,385 is 540540.

GCF of Denominators means GCF of 917,199,726 as per the given fractions.

GCF of 917,199,726 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 52,108,385

LCM of Fractions 52/917,108/199,385/726 is 540540

2 52, 108, 385
2 26, 54, 385
13, 27, 385

∴ So the LCM of the given numbers is 2 x 2 x 13 x 27 x 385 = 540540

Least Common Multiple of 52,108,385 with GCF Formula

Least Common Multiple of 52,108,385 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 52,108,385 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(52,108,385) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(52,108,385) x common factors =1 x 4 = 4

LCM(52,108,385) = ( 52 × 108 × 385 ) / 4

LCM(52,108,385) = 2162160 / 4

LCM(52,108,385) = 540540


Lets's calculate GCF of 917,199,726

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 540540/1

Therefore the LCM of Fractions 52/917,108/199,385/726 is 540540

Greatest Common Factor of 917,199,726 By Matching Biggest Common Factor Method

Greatest Common Factor of 917,199,726 By Matching Biggest Common Factor Method

Factors of 917

List of positive integer factors of 917 that divides 917 without a remainder.

1,7,131,917

Factors of 199

List of positive integer factors of 199 that divides 199 without a remainder.

1,199

Factors of 726

List of positive integer factors of 726 that divides 726 without a remainder.

1,2,3,6,11,22,33,66,121,242,363,726

Greatest Common Factor

We found the factors 917,199,726 . The biggest common factor number is the GCF number.
So the greatest common factor 917,199,726 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 52/917, 108/199, 385/726

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 52/917, 108/199, 385/726?

Answer: LCM of Numerators as per given numbers 52/917, 108/199, 385/726 is

LCM of Numerators i.e. for 52,108,385 is 540540

GCF of denominators i.e. for 917,199,726 is 1.

Thus, LCM of Fractions is 540540.Finally, LCM of Fractions for 52/917, 108/199, 385/726 is 540540.