Least Common Multiple of 684/31, 708/5494

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 684/31, 708/5494 quickly i.e. 40356 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 684/31, 708/5494 is 40356.

LCM(684/31, 708/5494) = 40356

LCM of 684/31, 708/5494

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 684/31,708/5494

Given numbers are 684/31,708/5494

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 684,708

Least Common Multiple of Numerators i.e. LCM of 684,708 is 40356.

GCF of Denominators means GCF of 31,5494 as per the given fractions.

GCF of 31,5494 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 684,708

LCM of Fractions 684/31,708/5494 is 40356

2 684, 708
2 342, 354
3 171, 177
57, 59

∴ So the LCM of the given numbers is 2 x 2 x 3 x 57 x 59 = 40356

Least Common Multiple of 684,708 with GCF Formula

Least Common Multiple of 684,708 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 684,708 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(684,708) = 12

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

GCF(684,708) x common factors =12 x 1 = 12

LCM(684,708) = ( 684 × 708 ) / 12

LCM(684,708) = 484272 / 12

LCM(684,708) = 40356


Lets's calculate GCF of 31,5494

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 40356/1

Therefore the LCM of Fractions 684/31,708/5494 is 40356

Greatest Common Factor of 31,5494 By Matching Biggest Common Factor Method

Greatest Common Factor of 31,5494 By Matching Biggest Common Factor Method

Factors of 31

List of positive integer factors of 31 that divides 31 without a remainder.

1,31

Factors of 5494

List of positive integer factors of 5494 that divides 5494 without a remainder.

1,2,41,67,82,134,2747,5494

Greatest Common Factor

We found the factors 31,5494 . The biggest common factor number is the GCF number.
So the greatest common factor 31,5494 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 684/31, 708/5494

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 684/31, 708/5494?

Answer: LCM of Numerators as per given numbers 684/31, 708/5494 is

LCM of Numerators i.e. for 684,708 is 40356

GCF of denominators i.e. for 31,5494 is 1.

Thus, LCM of Fractions is 40356.Finally, LCM of Fractions for 684/31, 708/5494 is 40356.