Least Common Multiple of 83/727, 673/508, 913/163

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 83/727, 673/508, 913/163 quickly i.e. 614449 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 83/727, 673/508, 913/163 is 614449.

LCM(83/727, 673/508, 913/163) = 614449

LCM of 83/727, 673/508, 913/163

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 83/727,673/508,913/163

Given numbers are 83/727,673/508,913/163

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 83,673,913

Least Common Multiple of Numerators i.e. LCM of 83,673,913 is 614449.

GCF of Denominators means GCF of 727,508,163 as per the given fractions.

GCF of 727,508,163 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 83,673,913

LCM of Fractions 83/727,673/508,913/163 is 614449

83 83, 673, 913
1, 673, 11

∴ So the LCM of the given numbers is 83 x 1 x 673 x 11 = 614449

Least Common Multiple of 83,673,913 with GCF Formula

Least Common Multiple of 83,673,913 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 83,673,913 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(83,673,913) = 1

common factors(in case of two or more numbers have common factors) = 83

GCF(83,673,913) x common factors =1 x 83 = 83

LCM(83,673,913) = ( 83 × 673 × 913 ) / 83

LCM(83,673,913) = 50999267 / 83

LCM(83,673,913) = 614449


Lets's calculate GCF of 727,508,163

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 614449/1

Therefore the LCM of Fractions 83/727,673/508,913/163 is 614449

Greatest Common Factor of 727,508,163 By Matching Biggest Common Factor Method

Greatest Common Factor of 727,508,163 By Matching Biggest Common Factor Method

Factors of 727

List of positive integer factors of 727 that divides 727 without a remainder.

1,727

Factors of 508

List of positive integer factors of 508 that divides 508 without a remainder.

1,2,4,127,254,508

Factors of 163

List of positive integer factors of 163 that divides 163 without a remainder.

1,163

Greatest Common Factor

We found the factors 727,508,163 . The biggest common factor number is the GCF number.
So the greatest common factor 727,508,163 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 83/727, 673/508, 913/163

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 83/727, 673/508, 913/163?

Answer: LCM of Numerators as per given numbers 83/727, 673/508, 913/163 is

LCM of Numerators i.e. for 83,673,913 is 614449

GCF of denominators i.e. for 727,508,163 is 1.

Thus, LCM of Fractions is 614449.Finally, LCM of Fractions for 83/727, 673/508, 913/163 is 614449.