Least Common Multiple of 3558/856, 8366/428

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 3558/856, 8366/428 quickly i.e. 14883114/428 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 3558/856, 8366/428 is 14883114/428.

LCM(3558/856, 8366/428) = 14883114/428

LCM of 3558/856, 8366/428

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 3558/856,8366/428

Given numbers are 3558/856,8366/428

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 3558,8366

Least Common Multiple of Numerators i.e. LCM of 3558,8366 is 14883114.

GCF of Denominators means GCF of 856,428 as per the given fractions.

GCF of 856,428 is 428 as it is the largest common factor for these numbers.

Lets's calculate LCM of 3558,8366

LCM of Fractions 3558/856,8366/428 is 14883114/428

2 3558, 8366
1779, 4183

∴ So the LCM of the given numbers is 2 x 1779 x 4183 = 14883114

Least Common Multiple of 3558,8366 with GCF Formula

Least Common Multiple of 3558,8366 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 3558,8366 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3558,8366) = 2

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

GCF(3558,8366) x common factors =2 x 1 = 2

LCM(3558,8366) = ( 3558 × 8366 ) / 2

LCM(3558,8366) = 29766228 / 2

LCM(3558,8366) = 14883114


Lets's calculate GCF of 856,428

2 856, 428
2 428, 214
107 107, 214
1, 2

∴ So the GCF of the given numbers is 2 x 2 x 107 = 428

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 14883114/428

Therefore the LCM of Fractions 3558/856,8366/428 is 14883114/428

Greatest Common Factor of 856,428 By Matching Biggest Common Factor Method

Greatest Common Factor of 856,428 By Matching Biggest Common Factor Method

Factors of 856

List of positive integer factors of 856 that divides 856 without a remainder.

1,2,4,8,107,214,428,856

Factors of 428

List of positive integer factors of 428 that divides 428 without a remainder.

1,2,4,107,214,428

Greatest Common Factor

We found the factors 856,428 . The biggest common factor number is the GCF number.
So the greatest common factor 856,428 is 428.


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 3558/856, 8366/428

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 3558/856, 8366/428?

Answer: LCM of Numerators as per given numbers 3558/856, 8366/428 is

LCM of Numerators i.e. for 3558,8366 is 14883114

GCF of denominators i.e. for 856,428 is 428.

Thus, LCM of Fractions is 14883114/428.Finally, LCM of Fractions for 3558/856, 8366/428 is 14883114/428.