Least Common Multiple of 37/749, 85/733, 579/539

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 37/749, 85/733, 579/539 quickly i.e. 1820955 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 37/749, 85/733, 579/539 is 1820955.

LCM(37/749, 85/733, 579/539) = 1820955

LCM of 37/749, 85/733, 579/539

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 37/749,85/733,579/539

Given numbers are 37/749,85/733,579/539

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 37,85,579

Least Common Multiple of Numerators i.e. LCM of 37,85,579 is 1820955.

GCF of Denominators means GCF of 749,733,539 as per the given fractions.

GCF of 749,733,539 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 37,85,579

LCM of Fractions 37/749,85/733,579/539 is 1820955

Given numbers has no common factors except 1. So, there LCM is their product i.e 1820955

Least Common Multiple of 37,85,579 with GCF Formula

Least Common Multiple of 37,85,579 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 37,85,579 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(37,85,579) = 1

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

GCF(37,85,579) x common factors =1 x 1 = 1

LCM(37,85,579) = ( 37 × 85 × 579 ) / 1

LCM(37,85,579) = 1820955 / 1

LCM(37,85,579) = 1820955


Lets's calculate GCF of 749,733,539

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1820955/1

Therefore the LCM of Fractions 37/749,85/733,579/539 is 1820955

Greatest Common Factor of 749,733,539 By Matching Biggest Common Factor Method

Greatest Common Factor of 749,733,539 By Matching Biggest Common Factor Method

Factors of 749

List of positive integer factors of 749 that divides 749 without a remainder.

1,7,107,749

Factors of 733

List of positive integer factors of 733 that divides 733 without a remainder.

1,733

Factors of 539

List of positive integer factors of 539 that divides 539 without a remainder.

1,7,11,49,77,539

Greatest Common Factor

We found the factors 749,733,539 . The biggest common factor number is the GCF number.
So the greatest common factor 749,733,539 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 37/749, 85/733, 579/539

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 37/749, 85/733, 579/539?

Answer: LCM of Numerators as per given numbers 37/749, 85/733, 579/539 is

LCM of Numerators i.e. for 37,85,579 is 1820955

GCF of denominators i.e. for 749,733,539 is 1.

Thus, LCM of Fractions is 1820955.Finally, LCM of Fractions for 37/749, 85/733, 579/539 is 1820955.