Least Common Multiple of 2169/100, 8764/3723

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 2169/100, 8764/3723 quickly i.e. 19009116 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 2169/100, 8764/3723 is 19009116.

LCM(2169/100, 8764/3723) = 19009116

LCM of 2169/100, 8764/3723

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 2169/100,8764/3723

Given numbers are 2169/100,8764/3723

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 2169,8764

Least Common Multiple of Numerators i.e. LCM of 2169,8764 is 19009116.

GCF of Denominators means GCF of 100,3723 as per the given fractions.

GCF of 100,3723 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 2169,8764

LCM of Fractions 2169/100,8764/3723 is 19009116

Given numbers has no common factors except 1. So, there LCM is their product i.e 19009116

Least Common Multiple of 2169,8764 with GCF Formula

Least Common Multiple of 2169,8764 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 2169,8764 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(2169,8764) = 1

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

GCF(2169,8764) x common factors =1 x 1 = 1

LCM(2169,8764) = ( 2169 × 8764 ) / 1

LCM(2169,8764) = 19009116 / 1

LCM(2169,8764) = 19009116


Lets's calculate GCF of 100,3723

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 19009116/1

Therefore the LCM of Fractions 2169/100,8764/3723 is 19009116

Greatest Common Factor of 100,3723 By Matching Biggest Common Factor Method

Greatest Common Factor of 100,3723 By Matching Biggest Common Factor Method

Factors of 100

List of positive integer factors of 100 that divides 100 without a remainder.

1,2,4,5,10,20,25,50,100

Factors of 3723

List of positive integer factors of 3723 that divides 3723 without a remainder.

1,3,17,51,73,219,1241,3723

Greatest Common Factor

We found the factors 100,3723 . The biggest common factor number is the GCF number.
So the greatest common factor 100,3723 is 1.


LCM of Fractions Calculation Examples

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Frequently Asked Questions on Fractional LCM of 2169/100, 8764/3723

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 2169/100, 8764/3723?

Answer: LCM of Numerators as per given numbers 2169/100, 8764/3723 is

LCM of Numerators i.e. for 2169,8764 is 19009116

GCF of denominators i.e. for 100,3723 is 1.

Thus, LCM of Fractions is 19009116.Finally, LCM of Fractions for 2169/100, 8764/3723 is 19009116.