Least Common Multiple of 6142/664, 9918/6368

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 6142/664, 9918/6368 quickly i.e. 30458178/8 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 6142/664, 9918/6368 is 30458178/8.

LCM(6142/664, 9918/6368) = 30458178/8

LCM of 6142/664, 9918/6368

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 6142/664,9918/6368

Given numbers are 6142/664,9918/6368

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 6142,9918

Least Common Multiple of Numerators i.e. LCM of 6142,9918 is 30458178.

GCF of Denominators means GCF of 664,6368 as per the given fractions.

GCF of 664,6368 is 8 as it is the largest common factor for these numbers.

Lets's calculate LCM of 6142,9918

LCM of Fractions 6142/664,9918/6368 is 30458178/8

2 6142, 9918
3071, 4959

∴ So the LCM of the given numbers is 2 x 3071 x 4959 = 30458178

Least Common Multiple of 6142,9918 with GCF Formula

Least Common Multiple of 6142,9918 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 6142,9918 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(6142,9918) = 2

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

GCF(6142,9918) x common factors =2 x 1 = 2

LCM(6142,9918) = ( 6142 × 9918 ) / 2

LCM(6142,9918) = 60916356 / 2

LCM(6142,9918) = 30458178


Lets's calculate GCF of 664,6368

2 664, 6368
2 332, 3184
2 166, 1592
83, 796

∴ So the GCF of the given numbers is 2 x 2 x 2 = 8

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 30458178/8

Therefore the LCM of Fractions 6142/664,9918/6368 is 30458178/8

Greatest Common Factor of 664,6368 By Matching Biggest Common Factor Method

Greatest Common Factor of 664,6368 By Matching Biggest Common Factor Method

Factors of 664

List of positive integer factors of 664 that divides 664 without a remainder.

1,2,4,8,83,166,332,664

Factors of 6368

List of positive integer factors of 6368 that divides 6368 without a remainder.

1,2,4,8,16,32,199,398,796,1592,3184,6368

Greatest Common Factor

We found the factors 664,6368 . The biggest common factor number is the GCF number.
So the greatest common factor 664,6368 is 8.


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 6142/664, 9918/6368

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 6142/664, 9918/6368?

Answer: LCM of Numerators as per given numbers 6142/664, 9918/6368 is

LCM of Numerators i.e. for 6142,9918 is 30458178

GCF of denominators i.e. for 664,6368 is 8.

Thus, LCM of Fractions is 30458178/8.Finally, LCM of Fractions for 6142/664, 9918/6368 is 30458178/8.