Least Common Multiple of 5874/814, 7980/6679

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 5874/814, 7980/6679 quickly i.e. 7812420 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 5874/814, 7980/6679 is 7812420.

LCM(5874/814, 7980/6679) = 7812420

LCM of 5874/814, 7980/6679

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 5874/814,7980/6679

Given numbers are 5874/814,7980/6679

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 5874,7980

Least Common Multiple of Numerators i.e. LCM of 5874,7980 is 7812420.

GCF of Denominators means GCF of 814,6679 as per the given fractions.

GCF of 814,6679 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 5874,7980

LCM of Fractions 5874/814,7980/6679 is 7812420

2 5874, 7980
3 2937, 3990
979, 1330

∴ So the LCM of the given numbers is 2 x 3 x 979 x 1330 = 7812420

Least Common Multiple of 5874,7980 with GCF Formula

Least Common Multiple of 5874,7980 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 5874,7980 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(5874,7980) = 6

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

GCF(5874,7980) x common factors =6 x 1 = 6

LCM(5874,7980) = ( 5874 × 7980 ) / 6

LCM(5874,7980) = 46874520 / 6

LCM(5874,7980) = 7812420


Lets's calculate GCF of 814,6679

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7812420/1

Therefore the LCM of Fractions 5874/814,7980/6679 is 7812420

Greatest Common Factor of 814,6679 By Matching Biggest Common Factor Method

Greatest Common Factor of 814,6679 By Matching Biggest Common Factor Method

Factors of 814

List of positive integer factors of 814 that divides 814 without a remainder.

1,2,11,22,37,74,407,814

Factors of 6679

List of positive integer factors of 6679 that divides 6679 without a remainder.

1,6679

Greatest Common Factor

We found the factors 814,6679 . The biggest common factor number is the GCF number.
So the greatest common factor 814,6679 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 5874/814, 7980/6679

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 5874/814, 7980/6679?

Answer: LCM of Numerators as per given numbers 5874/814, 7980/6679 is

LCM of Numerators i.e. for 5874,7980 is 7812420

GCF of denominators i.e. for 814,6679 is 1.

Thus, LCM of Fractions is 7812420.Finally, LCM of Fractions for 5874/814, 7980/6679 is 7812420.