Least Common Multiple of 556/84, 390/5766

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 556/84, 390/5766 quickly i.e. 18070 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 556/84, 390/5766 is 18070.

LCM(556/84, 390/5766) = 18070

LCM of 556/84, 390/5766

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 556/84,390/5766

Given numbers are 556/84,390/5766

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 556,390

Least Common Multiple of Numerators i.e. LCM of 556,390 is 108420.

GCF of Denominators means GCF of 84,5766 as per the given fractions.

GCF of 84,5766 is 6 as it is the largest common factor for these numbers.

Lets's calculate LCM of 556,390

LCM of Fractions 556/84,390/5766 is 18070

2 556, 390
278, 195

∴ So the LCM of the given numbers is 2 x 278 x 195 = 108420

Least Common Multiple of 556,390 with GCF Formula

Least Common Multiple of 556,390 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 556,390 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(556,390) = 2

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

GCF(556,390) x common factors =2 x 1 = 2

LCM(556,390) = ( 556 × 390 ) / 2

LCM(556,390) = 216840 / 2

LCM(556,390) = 108420


Lets's calculate GCF of 84,5766

2 84, 5766
3 42, 2883
14, 961

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 108420/6

Therefore the LCM of Fractions 556/84,390/5766 is 18070

Greatest Common Factor of 84,5766 By Matching Biggest Common Factor Method

Greatest Common Factor of 84,5766 By Matching Biggest Common Factor Method

Factors of 84

List of positive integer factors of 84 that divides 84 without a remainder.

1,2,3,4,6,7,12,14,21,28,42,84

Factors of 5766

List of positive integer factors of 5766 that divides 5766 without a remainder.

1,2,3,6,31,62,93,186,961,1922,2883,5766

Greatest Common Factor

We found the factors 84,5766 . The biggest common factor number is the GCF number.
So the greatest common factor 84,5766 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 556/84, 390/5766

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 556/84, 390/5766?

Answer: LCM of Numerators as per given numbers 556/84, 390/5766 is

LCM of Numerators i.e. for 556,390 is 108420

GCF of denominators i.e. for 84,5766 is 6.

Thus, LCM of Fractions is 18070.Finally, LCM of Fractions for 556/84, 390/5766 is 18070.