Least Common Multiple of 8424/836, 7419/6988

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 8424/836, 7419/6988 quickly i.e. 5208138 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 8424/836, 7419/6988 is 5208138.

LCM(8424/836, 7419/6988) = 5208138

LCM of 8424/836, 7419/6988

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 8424/836,7419/6988

Given numbers are 8424/836,7419/6988

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 8424,7419

Least Common Multiple of Numerators i.e. LCM of 8424,7419 is 20832552.

GCF of Denominators means GCF of 836,6988 as per the given fractions.

GCF of 836,6988 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 8424,7419

LCM of Fractions 8424/836,7419/6988 is 5208138

3 8424, 7419
2808, 2473

∴ So the LCM of the given numbers is 3 x 2808 x 2473 = 20832552

Least Common Multiple of 8424,7419 with GCF Formula

Least Common Multiple of 8424,7419 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 8424,7419 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(8424,7419) = 3

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

GCF(8424,7419) x common factors =3 x 1 = 3

LCM(8424,7419) = ( 8424 × 7419 ) / 3

LCM(8424,7419) = 62497656 / 3

LCM(8424,7419) = 20832552


Lets's calculate GCF of 836,6988

2 836, 6988
2 418, 3494
209, 1747

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 20832552/4

Therefore the LCM of Fractions 8424/836,7419/6988 is 5208138

Greatest Common Factor of 836,6988 By Matching Biggest Common Factor Method

Greatest Common Factor of 836,6988 By Matching Biggest Common Factor Method

Factors of 836

List of positive integer factors of 836 that divides 836 without a remainder.

1,2,4,11,19,22,38,44,76,209,418,836

Factors of 6988

List of positive integer factors of 6988 that divides 6988 without a remainder.

1,2,4,1747,3494,6988

Greatest Common Factor

We found the factors 836,6988 . The biggest common factor number is the GCF number.
So the greatest common factor 836,6988 is 4.


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 8424/836, 7419/6988

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 8424/836, 7419/6988?

Answer: LCM of Numerators as per given numbers 8424/836, 7419/6988 is

LCM of Numerators i.e. for 8424,7419 is 20832552

GCF of denominators i.e. for 836,6988 is 4.

Thus, LCM of Fractions is 5208138.Finally, LCM of Fractions for 8424/836, 7419/6988 is 5208138.