Least Common Multiple of 8857/104, 1744/7388

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 8857/104, 1744/7388 quickly i.e. 3861652 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 8857/104, 1744/7388 is 3861652.

LCM(8857/104, 1744/7388) = 3861652

LCM of 8857/104, 1744/7388

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 8857/104,1744/7388

Given numbers are 8857/104,1744/7388

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 8857,1744

Least Common Multiple of Numerators i.e. LCM of 8857,1744 is 15446608.

GCF of Denominators means GCF of 104,7388 as per the given fractions.

GCF of 104,7388 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 8857,1744

LCM of Fractions 8857/104,1744/7388 is 3861652

Given numbers has no common factors except 1. So, there LCM is their product i.e 15446608

Least Common Multiple of 8857,1744 with GCF Formula

Least Common Multiple of 8857,1744 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 8857,1744 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(8857,1744) = 1

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

GCF(8857,1744) x common factors =1 x 1 = 1

LCM(8857,1744) = ( 8857 × 1744 ) / 1

LCM(8857,1744) = 15446608 / 1

LCM(8857,1744) = 15446608


Lets's calculate GCF of 104,7388

2 104, 7388
2 52, 3694
26, 1847

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 15446608/4

Therefore the LCM of Fractions 8857/104,1744/7388 is 3861652

Greatest Common Factor of 104,7388 By Matching Biggest Common Factor Method

Greatest Common Factor of 104,7388 By Matching Biggest Common Factor Method

Factors of 104

List of positive integer factors of 104 that divides 104 without a remainder.

1,2,4,8,13,26,52,104

Factors of 7388

List of positive integer factors of 7388 that divides 7388 without a remainder.

1,2,4,1847,3694,7388

Greatest Common Factor

We found the factors 104,7388 . The biggest common factor number is the GCF number.
So the greatest common factor 104,7388 is 4.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 8857/104, 1744/7388

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 8857/104, 1744/7388?

Answer: LCM of Numerators as per given numbers 8857/104, 1744/7388 is

LCM of Numerators i.e. for 8857,1744 is 15446608

GCF of denominators i.e. for 104,7388 is 4.

Thus, LCM of Fractions is 3861652.Finally, LCM of Fractions for 8857/104, 1744/7388 is 3861652.