Least Common Multiple of 3628/107, 8558/8625

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 3628/107, 8558/8625 quickly i.e. 15524212 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 3628/107, 8558/8625 is 15524212.

LCM(3628/107, 8558/8625) = 15524212

LCM of 3628/107, 8558/8625

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 3628/107,8558/8625

Given numbers are 3628/107,8558/8625

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 3628,8558

Least Common Multiple of Numerators i.e. LCM of 3628,8558 is 15524212.

GCF of Denominators means GCF of 107,8625 as per the given fractions.

GCF of 107,8625 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 3628,8558

LCM of Fractions 3628/107,8558/8625 is 15524212

2 3628, 8558
1814, 4279

∴ So the LCM of the given numbers is 2 x 1814 x 4279 = 15524212

Least Common Multiple of 3628,8558 with GCF Formula

Least Common Multiple of 3628,8558 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 3628,8558 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3628,8558) = 2

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

GCF(3628,8558) x common factors =2 x 1 = 2

LCM(3628,8558) = ( 3628 × 8558 ) / 2

LCM(3628,8558) = 31048424 / 2

LCM(3628,8558) = 15524212


Lets's calculate GCF of 107,8625

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 15524212/1

Therefore the LCM of Fractions 3628/107,8558/8625 is 15524212

Greatest Common Factor of 107,8625 By Matching Biggest Common Factor Method

Greatest Common Factor of 107,8625 By Matching Biggest Common Factor Method

Factors of 107

List of positive integer factors of 107 that divides 107 without a remainder.

1,107

Factors of 8625

List of positive integer factors of 8625 that divides 8625 without a remainder.

1,3,5,15,23,25,69,75,115,125,345,375,575,1725,2875,8625

Greatest Common Factor

We found the factors 107,8625 . The biggest common factor number is the GCF number.
So the greatest common factor 107,8625 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 3628/107, 8558/8625

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 3628/107, 8558/8625?

Answer: LCM of Numerators as per given numbers 3628/107, 8558/8625 is

LCM of Numerators i.e. for 3628,8558 is 15524212

GCF of denominators i.e. for 107,8625 is 1.

Thus, LCM of Fractions is 15524212.Finally, LCM of Fractions for 3628/107, 8558/8625 is 15524212.