Least Common Multiple of 668/400, 4754/107

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 668/400, 4754/107 quickly i.e. 1587836 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 668/400, 4754/107 is 1587836.

LCM(668/400, 4754/107) = 1587836

LCM of 668/400, 4754/107

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 668/400,4754/107

Given numbers are 668/400,4754/107

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 668,4754

Least Common Multiple of Numerators i.e. LCM of 668,4754 is 1587836.

GCF of Denominators means GCF of 400,107 as per the given fractions.

GCF of 400,107 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 668,4754

LCM of Fractions 668/400,4754/107 is 1587836

2 668, 4754
334, 2377

∴ So the LCM of the given numbers is 2 x 334 x 2377 = 1587836

Least Common Multiple of 668,4754 with GCF Formula

Least Common Multiple of 668,4754 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 668,4754 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(668,4754) = 2

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

GCF(668,4754) x common factors =2 x 1 = 2

LCM(668,4754) = ( 668 × 4754 ) / 2

LCM(668,4754) = 3175672 / 2

LCM(668,4754) = 1587836


Lets's calculate GCF of 400,107

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1587836/1

Therefore the LCM of Fractions 668/400,4754/107 is 1587836

Greatest Common Factor of 400,107 By Matching Biggest Common Factor Method

Greatest Common Factor of 400,107 By Matching Biggest Common Factor Method

Factors of 400

List of positive integer factors of 400 that divides 400 without a remainder.

1,2,4,5,8,10,16,20,25,40,50,80,100,200,400

Factors of 107

List of positive integer factors of 107 that divides 107 without a remainder.

1,107

Greatest Common Factor

We found the factors 400,107 . The biggest common factor number is the GCF number.
So the greatest common factor 400,107 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 668/400, 4754/107

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 668/400, 4754/107?

Answer: LCM of Numerators as per given numbers 668/400, 4754/107 is

LCM of Numerators i.e. for 668,4754 is 1587836

GCF of denominators i.e. for 400,107 is 1.

Thus, LCM of Fractions is 1587836.Finally, LCM of Fractions for 668/400, 4754/107 is 1587836.