Least Common Multiple of 564/127, 8446/6858

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 564/127, 8446/6858 quickly i.e. 2381772/127 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 564/127, 8446/6858 is 2381772/127.

LCM(564/127, 8446/6858) = 2381772/127

LCM of 564/127, 8446/6858

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 564/127,8446/6858

Given numbers are 564/127,8446/6858

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 564,8446

Least Common Multiple of Numerators i.e. LCM of 564,8446 is 2381772.

GCF of Denominators means GCF of 127,6858 as per the given fractions.

GCF of 127,6858 is 127 as it is the largest common factor for these numbers.

Lets's calculate LCM of 564,8446

LCM of Fractions 564/127,8446/6858 is 2381772/127

2 564, 8446
282, 4223

∴ So the LCM of the given numbers is 2 x 282 x 4223 = 2381772

Least Common Multiple of 564,8446 with GCF Formula

Least Common Multiple of 564,8446 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 564,8446 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(564,8446) = 2

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

GCF(564,8446) x common factors =2 x 1 = 2

LCM(564,8446) = ( 564 × 8446 ) / 2

LCM(564,8446) = 4763544 / 2

LCM(564,8446) = 2381772


Lets's calculate GCF of 127,6858

127 127, 6858
1, 54

∴ So the GCF of the given numbers is 127 = 127

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2381772/127

Therefore the LCM of Fractions 564/127,8446/6858 is 2381772/127

Greatest Common Factor of 127,6858 By Matching Biggest Common Factor Method

Greatest Common Factor of 127,6858 By Matching Biggest Common Factor Method

Factors of 127

List of positive integer factors of 127 that divides 127 without a remainder.

1,127

Factors of 6858

List of positive integer factors of 6858 that divides 6858 without a remainder.

1,2,3,6,9,18,27,54,127,254,381,762,1143,2286,3429,6858

Greatest Common Factor

We found the factors 127,6858 . The biggest common factor number is the GCF number.
So the greatest common factor 127,6858 is 127.


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 564/127, 8446/6858

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 564/127, 8446/6858?

Answer: LCM of Numerators as per given numbers 564/127, 8446/6858 is

LCM of Numerators i.e. for 564,8446 is 2381772

GCF of denominators i.e. for 127,6858 is 127.

Thus, LCM of Fractions is 2381772/127.Finally, LCM of Fractions for 564/127, 8446/6858 is 2381772/127.