Least Common Multiple of 795/233, 719/717, 385/113

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 795/233, 719/717, 385/113 quickly i.e. 44013585 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 795/233, 719/717, 385/113 is 44013585.

LCM(795/233, 719/717, 385/113) = 44013585

LCM of 795/233, 719/717, 385/113

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 795/233,719/717,385/113

Given numbers are 795/233,719/717,385/113

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 795,719,385

Least Common Multiple of Numerators i.e. LCM of 795,719,385 is 44013585.

GCF of Denominators means GCF of 233,717,113 as per the given fractions.

GCF of 233,717,113 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 795,719,385

LCM of Fractions 795/233,719/717,385/113 is 44013585

5 795, 719, 385
159, 719, 77

∴ So the LCM of the given numbers is 5 x 159 x 719 x 77 = 44013585

Least Common Multiple of 795,719,385 with GCF Formula

Least Common Multiple of 795,719,385 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 795,719,385 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(795,719,385) = 1

common factors(in case of two or more numbers have common factors) = 5

GCF(795,719,385) x common factors =1 x 5 = 5

LCM(795,719,385) = ( 795 × 719 × 385 ) / 5

LCM(795,719,385) = 220067925 / 5

LCM(795,719,385) = 44013585


Lets's calculate GCF of 233,717,113

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 44013585/1

Therefore the LCM of Fractions 795/233,719/717,385/113 is 44013585

Greatest Common Factor of 233,717,113 By Matching Biggest Common Factor Method

Greatest Common Factor of 233,717,113 By Matching Biggest Common Factor Method

Factors of 233

List of positive integer factors of 233 that divides 233 without a remainder.

1,233

Factors of 717

List of positive integer factors of 717 that divides 717 without a remainder.

1,3,239,717

Factors of 113

List of positive integer factors of 113 that divides 113 without a remainder.

1,113

Greatest Common Factor

We found the factors 233,717,113 . The biggest common factor number is the GCF number.
So the greatest common factor 233,717,113 is 1.


LCM of Fractions Calculation Examples

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Frequently Asked Questions on Fractional LCM of 795/233, 719/717, 385/113

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 795/233, 719/717, 385/113?

Answer: LCM of Numerators as per given numbers 795/233, 719/717, 385/113 is

LCM of Numerators i.e. for 795,719,385 is 44013585

GCF of denominators i.e. for 233,717,113 is 1.

Thus, LCM of Fractions is 44013585.Finally, LCM of Fractions for 795/233, 719/717, 385/113 is 44013585.