Least Common Multiple of 689/517, 6627/933

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 689/517, 6627/933 quickly i.e. 4566003 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 689/517, 6627/933 is 4566003.

LCM(689/517, 6627/933) = 4566003

LCM of 689/517, 6627/933

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 689/517,6627/933

Given numbers are 689/517,6627/933

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 689,6627

Least Common Multiple of Numerators i.e. LCM of 689,6627 is 4566003.

GCF of Denominators means GCF of 517,933 as per the given fractions.

GCF of 517,933 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 689,6627

LCM of Fractions 689/517,6627/933 is 4566003

Given numbers has no common factors except 1. So, there LCM is their product i.e 4566003

Least Common Multiple of 689,6627 with GCF Formula

Least Common Multiple of 689,6627 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 689,6627 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(689,6627) = 1

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

GCF(689,6627) x common factors =1 x 1 = 1

LCM(689,6627) = ( 689 × 6627 ) / 1

LCM(689,6627) = 4566003 / 1

LCM(689,6627) = 4566003


Lets's calculate GCF of 517,933

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4566003/1

Therefore the LCM of Fractions 689/517,6627/933 is 4566003

Greatest Common Factor of 517,933 By Matching Biggest Common Factor Method

Greatest Common Factor of 517,933 By Matching Biggest Common Factor Method

Factors of 517

List of positive integer factors of 517 that divides 517 without a remainder.

1,11,47,517

Factors of 933

List of positive integer factors of 933 that divides 933 without a remainder.

1,3,311,933

Greatest Common Factor

We found the factors 517,933 . The biggest common factor number is the GCF number.
So the greatest common factor 517,933 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 689/517, 6627/933

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 689/517, 6627/933?

Answer: LCM of Numerators as per given numbers 689/517, 6627/933 is

LCM of Numerators i.e. for 689,6627 is 4566003

GCF of denominators i.e. for 517,933 is 1.

Thus, LCM of Fractions is 4566003.Finally, LCM of Fractions for 689/517, 6627/933 is 4566003.