Least Common Multiple of 667/474, 4238/8874

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 667/474, 4238/8874 quickly i.e. 2826746/6 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 667/474, 4238/8874 is 2826746/6.

LCM(667/474, 4238/8874) = 2826746/6

LCM of 667/474, 4238/8874

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 667/474,4238/8874

Given numbers are 667/474,4238/8874

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 667,4238

Least Common Multiple of Numerators i.e. LCM of 667,4238 is 2826746.

GCF of Denominators means GCF of 474,8874 as per the given fractions.

GCF of 474,8874 is 6 as it is the largest common factor for these numbers.

Lets's calculate LCM of 667,4238

LCM of Fractions 667/474,4238/8874 is 2826746/6

Given numbers has no common factors except 1. So, there LCM is their product i.e 2826746

Least Common Multiple of 667,4238 with GCF Formula

Least Common Multiple of 667,4238 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 667,4238 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(667,4238) = 1

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

GCF(667,4238) x common factors =1 x 1 = 1

LCM(667,4238) = ( 667 × 4238 ) / 1

LCM(667,4238) = 2826746 / 1

LCM(667,4238) = 2826746


Lets's calculate GCF of 474,8874

2 474, 8874
3 237, 4437
79, 1479

∴ So the GCF of the given numbers is 2 x 3 = 6

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2826746/6

Therefore the LCM of Fractions 667/474,4238/8874 is 2826746/6

Greatest Common Factor of 474,8874 By Matching Biggest Common Factor Method

Greatest Common Factor of 474,8874 By Matching Biggest Common Factor Method

Factors of 474

List of positive integer factors of 474 that divides 474 without a remainder.

1,2,3,6,79,158,237,474

Factors of 8874

List of positive integer factors of 8874 that divides 8874 without a remainder.

1,2,3,6,9,17,18,29,34,51,58,87,102,153,174,261,306,493,522,986,1479,2958,4437,8874

Greatest Common Factor

We found the factors 474,8874 . The biggest common factor number is the GCF number.
So the greatest common factor 474,8874 is 6.


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 667/474, 4238/8874

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 667/474, 4238/8874?

Answer: LCM of Numerators as per given numbers 667/474, 4238/8874 is

LCM of Numerators i.e. for 667,4238 is 2826746

GCF of denominators i.e. for 474,8874 is 6.

Thus, LCM of Fractions is 2826746/6.Finally, LCM of Fractions for 667/474, 4238/8874 is 2826746/6.