Least Common Multiple of 686/999, 7467/2398

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 686/999, 7467/2398 quickly i.e. 5122362 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 686/999, 7467/2398 is 5122362.

LCM(686/999, 7467/2398) = 5122362

LCM of 686/999, 7467/2398

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 686/999,7467/2398

Given numbers are 686/999,7467/2398

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 686,7467

Least Common Multiple of Numerators i.e. LCM of 686,7467 is 5122362.

GCF of Denominators means GCF of 999,2398 as per the given fractions.

GCF of 999,2398 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 686,7467

LCM of Fractions 686/999,7467/2398 is 5122362

Given numbers has no common factors except 1. So, there LCM is their product i.e 5122362

Least Common Multiple of 686,7467 with GCF Formula

Least Common Multiple of 686,7467 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 686,7467 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(686,7467) = 1

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

GCF(686,7467) x common factors =1 x 1 = 1

LCM(686,7467) = ( 686 × 7467 ) / 1

LCM(686,7467) = 5122362 / 1

LCM(686,7467) = 5122362


Lets's calculate GCF of 999,2398

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5122362/1

Therefore the LCM of Fractions 686/999,7467/2398 is 5122362

Greatest Common Factor of 999,2398 By Matching Biggest Common Factor Method

Greatest Common Factor of 999,2398 By Matching Biggest Common Factor Method

Factors of 999

List of positive integer factors of 999 that divides 999 without a remainder.

1,3,9,27,37,111,333,999

Factors of 2398

List of positive integer factors of 2398 that divides 2398 without a remainder.

1,2,11,22,109,218,1199,2398

Greatest Common Factor

We found the factors 999,2398 . The biggest common factor number is the GCF number.
So the greatest common factor 999,2398 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 686/999, 7467/2398

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 686/999, 7467/2398?

Answer: LCM of Numerators as per given numbers 686/999, 7467/2398 is

LCM of Numerators i.e. for 686,7467 is 5122362

GCF of denominators i.e. for 999,2398 is 1.

Thus, LCM of Fractions is 5122362.Finally, LCM of Fractions for 686/999, 7467/2398 is 5122362.