Least Common Multiple of 499/739, 652/968, 791/499

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 499/739, 652/968, 791/499 quickly i.e. 257350268 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 499/739, 652/968, 791/499 is 257350268.

LCM(499/739, 652/968, 791/499) = 257350268

LCM of 499/739, 652/968, 791/499

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 499/739,652/968,791/499

Given numbers are 499/739,652/968,791/499

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 499,652,791

Least Common Multiple of Numerators i.e. LCM of 499,652,791 is 257350268.

GCF of Denominators means GCF of 739,968,499 as per the given fractions.

GCF of 739,968,499 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 499,652,791

LCM of Fractions 499/739,652/968,791/499 is 257350268

Given numbers has no common factors except 1. So, there LCM is their product i.e 257350268

Least Common Multiple of 499,652,791 with GCF Formula

Least Common Multiple of 499,652,791 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 499,652,791 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(499,652,791) = 1

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

GCF(499,652,791) x common factors =1 x 1 = 1

LCM(499,652,791) = ( 499 × 652 × 791 ) / 1

LCM(499,652,791) = 257350268 / 1

LCM(499,652,791) = 257350268


Lets's calculate GCF of 739,968,499

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 257350268/1

Therefore the LCM of Fractions 499/739,652/968,791/499 is 257350268

Greatest Common Factor of 739,968,499 By Matching Biggest Common Factor Method

Greatest Common Factor of 739,968,499 By Matching Biggest Common Factor Method

Factors of 739

List of positive integer factors of 739 that divides 739 without a remainder.

1,739

Factors of 968

List of positive integer factors of 968 that divides 968 without a remainder.

1,2,4,8,11,22,44,88,121,242,484,968

Factors of 499

List of positive integer factors of 499 that divides 499 without a remainder.

1,499

Greatest Common Factor

We found the factors 739,968,499 . The biggest common factor number is the GCF number.
So the greatest common factor 739,968,499 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 499/739, 652/968, 791/499

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 499/739, 652/968, 791/499?

Answer: LCM of Numerators as per given numbers 499/739, 652/968, 791/499 is

LCM of Numerators i.e. for 499,652,791 is 257350268

GCF of denominators i.e. for 739,968,499 is 1.

Thus, LCM of Fractions is 257350268.Finally, LCM of Fractions for 499/739, 652/968, 791/499 is 257350268.