Least Common Multiple of 1032/560, 6978/6666

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 1032/560, 6978/6666 quickly i.e. 600108 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 1032/560, 6978/6666 is 600108.

LCM(1032/560, 6978/6666) = 600108

LCM of 1032/560, 6978/6666

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 1032/560,6978/6666

Given numbers are 1032/560,6978/6666

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 1032,6978

Least Common Multiple of Numerators i.e. LCM of 1032,6978 is 1200216.

GCF of Denominators means GCF of 560,6666 as per the given fractions.

GCF of 560,6666 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 1032,6978

LCM of Fractions 1032/560,6978/6666 is 600108

2 1032, 6978
3 516, 3489
172, 1163

∴ So the LCM of the given numbers is 2 x 3 x 172 x 1163 = 1200216

Least Common Multiple of 1032,6978 with GCF Formula

Least Common Multiple of 1032,6978 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 1032,6978 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(1032,6978) = 6

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

GCF(1032,6978) x common factors =6 x 1 = 6

LCM(1032,6978) = ( 1032 × 6978 ) / 6

LCM(1032,6978) = 7201296 / 6

LCM(1032,6978) = 1200216


Lets's calculate GCF of 560,6666

2 560, 6666
280, 3333

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1200216/2

Therefore the LCM of Fractions 1032/560,6978/6666 is 600108

Greatest Common Factor of 560,6666 By Matching Biggest Common Factor Method

Greatest Common Factor of 560,6666 By Matching Biggest Common Factor Method

Factors of 560

List of positive integer factors of 560 that divides 560 without a remainder.

1,2,4,5,7,8,10,14,16,20,28,35,40,56,70,80,112,140,280,560

Factors of 6666

List of positive integer factors of 6666 that divides 6666 without a remainder.

1,2,3,6,11,22,33,66,101,202,303,606,1111,2222,3333,6666

Greatest Common Factor

We found the factors 560,6666 . The biggest common factor number is the GCF number.
So the greatest common factor 560,6666 is 2.


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 1032/560, 6978/6666

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 1032/560, 6978/6666?

Answer: LCM of Numerators as per given numbers 1032/560, 6978/6666 is

LCM of Numerators i.e. for 1032,6978 is 1200216

GCF of denominators i.e. for 560,6666 is 2.

Thus, LCM of Fractions is 600108.Finally, LCM of Fractions for 1032/560, 6978/6666 is 600108.