Least Common Multiple of 37/96, 28/587, 545/461

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 37/96, 28/587, 545/461 quickly i.e. 564620 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 37/96, 28/587, 545/461 is 564620.

LCM(37/96, 28/587, 545/461) = 564620

LCM of 37/96, 28/587, 545/461

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 37/96,28/587,545/461

Given numbers are 37/96,28/587,545/461

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 37,28,545

Least Common Multiple of Numerators i.e. LCM of 37,28,545 is 564620.

GCF of Denominators means GCF of 96,587,461 as per the given fractions.

GCF of 96,587,461 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 37,28,545

LCM of Fractions 37/96,28/587,545/461 is 564620

Given numbers has no common factors except 1. So, there LCM is their product i.e 564620

Least Common Multiple of 37,28,545 with GCF Formula

Least Common Multiple of 37,28,545 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 37,28,545 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(37,28,545) = 1

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

GCF(37,28,545) x common factors =1 x 1 = 1

LCM(37,28,545) = ( 37 × 28 × 545 ) / 1

LCM(37,28,545) = 564620 / 1

LCM(37,28,545) = 564620


Lets's calculate GCF of 96,587,461

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 564620/1

Therefore the LCM of Fractions 37/96,28/587,545/461 is 564620

Greatest Common Factor of 96,587,461 By Matching Biggest Common Factor Method

Greatest Common Factor of 96,587,461 By Matching Biggest Common Factor Method

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 587

List of positive integer factors of 587 that divides 587 without a remainder.

1,587

Factors of 461

List of positive integer factors of 461 that divides 461 without a remainder.

1,461

Greatest Common Factor

We found the factors 96,587,461 . The biggest common factor number is the GCF number.
So the greatest common factor 96,587,461 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 37/96, 28/587, 545/461

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 37/96, 28/587, 545/461?

Answer: LCM of Numerators as per given numbers 37/96, 28/587, 545/461 is

LCM of Numerators i.e. for 37,28,545 is 564620

GCF of denominators i.e. for 96,587,461 is 1.

Thus, LCM of Fractions is 564620.Finally, LCM of Fractions for 37/96, 28/587, 545/461 is 564620.