Least Common Multiple of 684/927, 2906/6998

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 684/927, 2906/6998 quickly i.e. 993852 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 684/927, 2906/6998 is 993852.

LCM(684/927, 2906/6998) = 993852

LCM of 684/927, 2906/6998

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 684/927,2906/6998

Given numbers are 684/927,2906/6998

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 684,2906

Least Common Multiple of Numerators i.e. LCM of 684,2906 is 993852.

GCF of Denominators means GCF of 927,6998 as per the given fractions.

GCF of 927,6998 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 684,2906

LCM of Fractions 684/927,2906/6998 is 993852

2 684, 2906
342, 1453

∴ So the LCM of the given numbers is 2 x 342 x 1453 = 993852

Least Common Multiple of 684,2906 with GCF Formula

Least Common Multiple of 684,2906 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 684,2906 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(684,2906) = 2

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

GCF(684,2906) x common factors =2 x 1 = 2

LCM(684,2906) = ( 684 × 2906 ) / 2

LCM(684,2906) = 1987704 / 2

LCM(684,2906) = 993852


Lets's calculate GCF of 927,6998

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 993852/1

Therefore the LCM of Fractions 684/927,2906/6998 is 993852

Greatest Common Factor of 927,6998 By Matching Biggest Common Factor Method

Greatest Common Factor of 927,6998 By Matching Biggest Common Factor Method

Factors of 927

List of positive integer factors of 927 that divides 927 without a remainder.

1,3,9,103,309,927

Factors of 6998

List of positive integer factors of 6998 that divides 6998 without a remainder.

1,2,3499,6998

Greatest Common Factor

We found the factors 927,6998 . The biggest common factor number is the GCF number.
So the greatest common factor 927,6998 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

Frequently Asked Questions on Fractional LCM of 684/927, 2906/6998

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 684/927, 2906/6998?

Answer: LCM of Numerators as per given numbers 684/927, 2906/6998 is

LCM of Numerators i.e. for 684,2906 is 993852

GCF of denominators i.e. for 927,6998 is 1.

Thus, LCM of Fractions is 993852.Finally, LCM of Fractions for 684/927, 2906/6998 is 993852.