Least Common Multiple of 668/457, 5040/6082

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 668/457, 5040/6082 quickly i.e. 841680 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 668/457, 5040/6082 is 841680.

LCM(668/457, 5040/6082) = 841680

LCM of 668/457, 5040/6082

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 668/457,5040/6082

Given numbers are 668/457,5040/6082

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 668,5040

Least Common Multiple of Numerators i.e. LCM of 668,5040 is 841680.

GCF of Denominators means GCF of 457,6082 as per the given fractions.

GCF of 457,6082 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 668,5040

LCM of Fractions 668/457,5040/6082 is 841680

2 668, 5040
2 334, 2520
167, 1260

∴ So the LCM of the given numbers is 2 x 2 x 167 x 1260 = 841680

Least Common Multiple of 668,5040 with GCF Formula

Least Common Multiple of 668,5040 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 668,5040 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(668,5040) = 4

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

GCF(668,5040) x common factors =4 x 1 = 4

LCM(668,5040) = ( 668 × 5040 ) / 4

LCM(668,5040) = 3366720 / 4

LCM(668,5040) = 841680


Lets's calculate GCF of 457,6082

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 841680/1

Therefore the LCM of Fractions 668/457,5040/6082 is 841680

Greatest Common Factor of 457,6082 By Matching Biggest Common Factor Method

Greatest Common Factor of 457,6082 By Matching Biggest Common Factor Method

Factors of 457

List of positive integer factors of 457 that divides 457 without a remainder.

1,457

Factors of 6082

List of positive integer factors of 6082 that divides 6082 without a remainder.

1,2,3041,6082

Greatest Common Factor

We found the factors 457,6082 . The biggest common factor number is the GCF number.
So the greatest common factor 457,6082 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 668/457, 5040/6082

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 668/457, 5040/6082?

Answer: LCM of Numerators as per given numbers 668/457, 5040/6082 is

LCM of Numerators i.e. for 668,5040 is 841680

GCF of denominators i.e. for 457,6082 is 1.

Thus, LCM of Fractions is 841680.Finally, LCM of Fractions for 668/457, 5040/6082 is 841680.