Least Common Multiple of 5005/739, 1765/713

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 5005/739, 1765/713 quickly i.e. 1766765 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 5005/739, 1765/713 is 1766765.

LCM(5005/739, 1765/713) = 1766765

LCM of 5005/739, 1765/713

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 5005/739,1765/713

Given numbers are 5005/739,1765/713

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 5005,1765

Least Common Multiple of Numerators i.e. LCM of 5005,1765 is 1766765.

GCF of Denominators means GCF of 739,713 as per the given fractions.

GCF of 739,713 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 5005,1765

LCM of Fractions 5005/739,1765/713 is 1766765

5 5005, 1765
1001, 353

∴ So the LCM of the given numbers is 5 x 1001 x 353 = 1766765

Least Common Multiple of 5005,1765 with GCF Formula

Least Common Multiple of 5005,1765 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 5005,1765 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(5005,1765) = 5

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

GCF(5005,1765) x common factors =5 x 1 = 5

LCM(5005,1765) = ( 5005 × 1765 ) / 5

LCM(5005,1765) = 8833825 / 5

LCM(5005,1765) = 1766765


Lets's calculate GCF of 739,713

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1766765/1

Therefore the LCM of Fractions 5005/739,1765/713 is 1766765

Greatest Common Factor of 739,713 By Matching Biggest Common Factor Method

Greatest Common Factor of 739,713 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 713

List of positive integer factors of 713 that divides 713 without a remainder.

1,23,31,713

Greatest Common Factor

We found the factors 739,713 . The biggest common factor number is the GCF number.
So the greatest common factor 739,713 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 5005/739, 1765/713

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 5005/739, 1765/713?

Answer: LCM of Numerators as per given numbers 5005/739, 1765/713 is

LCM of Numerators i.e. for 5005,1765 is 1766765

GCF of denominators i.e. for 739,713 is 1.

Thus, LCM of Fractions is 1766765.Finally, LCM of Fractions for 5005/739, 1765/713 is 1766765.