Least Common Multiple of 668/39, 574/6820

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 668/39, 574/6820 quickly i.e. 191716 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 668/39, 574/6820 is 191716.

LCM(668/39, 574/6820) = 191716

LCM of 668/39, 574/6820

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 668/39,574/6820

Given numbers are 668/39,574/6820

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 668,574

Least Common Multiple of Numerators i.e. LCM of 668,574 is 191716.

GCF of Denominators means GCF of 39,6820 as per the given fractions.

GCF of 39,6820 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 668,574

LCM of Fractions 668/39,574/6820 is 191716

2 668, 574
334, 287

∴ So the LCM of the given numbers is 2 x 334 x 287 = 191716

Least Common Multiple of 668,574 with GCF Formula

Least Common Multiple of 668,574 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 668,574 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(668,574) = 2

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

GCF(668,574) x common factors =2 x 1 = 2

LCM(668,574) = ( 668 × 574 ) / 2

LCM(668,574) = 383432 / 2

LCM(668,574) = 191716


Lets's calculate GCF of 39,6820

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 191716/1

Therefore the LCM of Fractions 668/39,574/6820 is 191716

Greatest Common Factor of 39,6820 By Matching Biggest Common Factor Method

Greatest Common Factor of 39,6820 By Matching Biggest Common Factor Method

Factors of 39

List of positive integer factors of 39 that divides 39 without a remainder.

1,3,13,39

Factors of 6820

List of positive integer factors of 6820 that divides 6820 without a remainder.

1,2,4,5,10,11,20,22,31,44,55,62,110,124,155,220,310,341,620,682,1364,1705,3410,6820

Greatest Common Factor

We found the factors 39,6820 . The biggest common factor number is the GCF number.
So the greatest common factor 39,6820 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 668/39, 574/6820

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 668/39, 574/6820?

Answer: LCM of Numerators as per given numbers 668/39, 574/6820 is

LCM of Numerators i.e. for 668,574 is 191716

GCF of denominators i.e. for 39,6820 is 1.

Thus, LCM of Fractions is 191716.Finally, LCM of Fractions for 668/39, 574/6820 is 191716.