Least Common Multiple of 55/384, 913/932, 857/597

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 55/384, 913/932, 857/597 quickly i.e. 3912205 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 55/384, 913/932, 857/597 is 3912205.

LCM(55/384, 913/932, 857/597) = 3912205

LCM of 55/384, 913/932, 857/597

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 55/384,913/932,857/597

Given numbers are 55/384,913/932,857/597

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 55,913,857

Least Common Multiple of Numerators i.e. LCM of 55,913,857 is 3912205.

GCF of Denominators means GCF of 384,932,597 as per the given fractions.

GCF of 384,932,597 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 55,913,857

LCM of Fractions 55/384,913/932,857/597 is 3912205

11 55, 913, 857
5, 83, 857

∴ So the LCM of the given numbers is 11 x 5 x 83 x 857 = 3912205

Least Common Multiple of 55,913,857 with GCF Formula

Least Common Multiple of 55,913,857 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 55,913,857 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(55,913,857) = 1

common factors(in case of two or more numbers have common factors) = 11

GCF(55,913,857) x common factors =1 x 11 = 11

LCM(55,913,857) = ( 55 × 913 × 857 ) / 11

LCM(55,913,857) = 43034255 / 11

LCM(55,913,857) = 3912205


Lets's calculate GCF of 384,932,597

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3912205/1

Therefore the LCM of Fractions 55/384,913/932,857/597 is 3912205

Greatest Common Factor of 384,932,597 By Matching Biggest Common Factor Method

Greatest Common Factor of 384,932,597 By Matching Biggest Common Factor Method

Factors of 384

List of positive integer factors of 384 that divides 384 without a remainder.

1,2,3,4,6,8,12,16,24,32,48,64,96,128,192,384

Factors of 932

List of positive integer factors of 932 that divides 932 without a remainder.

1,2,4,233,466,932

Factors of 597

List of positive integer factors of 597 that divides 597 without a remainder.

1,3,199,597

Greatest Common Factor

We found the factors 384,932,597 . The biggest common factor number is the GCF number.
So the greatest common factor 384,932,597 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 55/384, 913/932, 857/597

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 55/384, 913/932, 857/597?

Answer: LCM of Numerators as per given numbers 55/384, 913/932, 857/597 is

LCM of Numerators i.e. for 55,913,857 is 3912205

GCF of denominators i.e. for 384,932,597 is 1.

Thus, LCM of Fractions is 3912205.Finally, LCM of Fractions for 55/384, 913/932, 857/597 is 3912205.