Least Common Multiple of 668/427, 804/993

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 668/427, 804/993 quickly i.e. 134268 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 668/427, 804/993 is 134268.

LCM(668/427, 804/993) = 134268

LCM of 668/427, 804/993

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 668/427,804/993

Given numbers are 668/427,804/993

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 668,804

Least Common Multiple of Numerators i.e. LCM of 668,804 is 134268.

GCF of Denominators means GCF of 427,993 as per the given fractions.

GCF of 427,993 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 668,804

LCM of Fractions 668/427,804/993 is 134268

2 668, 804
2 334, 402
167, 201

∴ So the LCM of the given numbers is 2 x 2 x 167 x 201 = 134268

Least Common Multiple of 668,804 with GCF Formula

Least Common Multiple of 668,804 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 668,804 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(668,804) = 4

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

GCF(668,804) x common factors =4 x 1 = 4

LCM(668,804) = ( 668 × 804 ) / 4

LCM(668,804) = 537072 / 4

LCM(668,804) = 134268


Lets's calculate GCF of 427,993

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 134268/1

Therefore the LCM of Fractions 668/427,804/993 is 134268

Greatest Common Factor of 427,993 By Matching Biggest Common Factor Method

Greatest Common Factor of 427,993 By Matching Biggest Common Factor Method

Factors of 427

List of positive integer factors of 427 that divides 427 without a remainder.

1,7,61,427

Factors of 993

List of positive integer factors of 993 that divides 993 without a remainder.

1,3,331,993

Greatest Common Factor

We found the factors 427,993 . The biggest common factor number is the GCF number.
So the greatest common factor 427,993 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 668/427, 804/993

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 668/427, 804/993?

Answer: LCM of Numerators as per given numbers 668/427, 804/993 is

LCM of Numerators i.e. for 668,804 is 134268

GCF of denominators i.e. for 427,993 is 1.

Thus, LCM of Fractions is 134268.Finally, LCM of Fractions for 668/427, 804/993 is 134268.