Least Common Multiple of 51/59, 11/96, 664/592

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 51/59, 11/96, 664/592 quickly i.e. 372504 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 51/59, 11/96, 664/592 is 372504.

LCM(51/59, 11/96, 664/592) = 372504

LCM of 51/59, 11/96, 664/592

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 51/59,11/96,664/592

Given numbers are 51/59,11/96,664/592

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 51,11,664

Least Common Multiple of Numerators i.e. LCM of 51,11,664 is 372504.

GCF of Denominators means GCF of 59,96,592 as per the given fractions.

GCF of 59,96,592 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 51,11,664

LCM of Fractions 51/59,11/96,664/592 is 372504

Given numbers has no common factors except 1. So, there LCM is their product i.e 372504

Least Common Multiple of 51,11,664 with GCF Formula

Least Common Multiple of 51,11,664 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 51,11,664 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(51,11,664) = 1

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

GCF(51,11,664) x common factors =1 x 1 = 1

LCM(51,11,664) = ( 51 × 11 × 664 ) / 1

LCM(51,11,664) = 372504 / 1

LCM(51,11,664) = 372504


Lets's calculate GCF of 59,96,592

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 372504/1

Therefore the LCM of Fractions 51/59,11/96,664/592 is 372504

Greatest Common Factor of 59,96,592 By Matching Biggest Common Factor Method

Greatest Common Factor of 59,96,592 By Matching Biggest Common Factor Method

Factors of 59

List of positive integer factors of 59 that divides 59 without a remainder.

1,59

Factors of 96

List of positive integer factors of 96 that divides 96 without a remainder.

1,2,3,4,6,8,12,16,24,32,48,96

Factors of 592

List of positive integer factors of 592 that divides 592 without a remainder.

1,2,4,8,16,37,74,148,296,592

Greatest Common Factor

We found the factors 59,96,592 . The biggest common factor number is the GCF number.
So the greatest common factor 59,96,592 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 51/59, 11/96, 664/592

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 51/59, 11/96, 664/592?

Answer: LCM of Numerators as per given numbers 51/59, 11/96, 664/592 is

LCM of Numerators i.e. for 51,11,664 is 372504

GCF of denominators i.e. for 59,96,592 is 1.

Thus, LCM of Fractions is 372504.Finally, LCM of Fractions for 51/59, 11/96, 664/592 is 372504.