Least Common Multiple of 3917/189, 7628/2722

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 3917/189, 7628/2722 quickly i.e. 29878876 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 3917/189, 7628/2722 is 29878876.

LCM(3917/189, 7628/2722) = 29878876

LCM of 3917/189, 7628/2722

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 3917/189,7628/2722

Given numbers are 3917/189,7628/2722

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 3917,7628

Least Common Multiple of Numerators i.e. LCM of 3917,7628 is 29878876.

GCF of Denominators means GCF of 189,2722 as per the given fractions.

GCF of 189,2722 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 3917,7628

LCM of Fractions 3917/189,7628/2722 is 29878876

Given numbers has no common factors except 1. So, there LCM is their product i.e 29878876

Least Common Multiple of 3917,7628 with GCF Formula

Least Common Multiple of 3917,7628 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 3917,7628 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3917,7628) = 1

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

GCF(3917,7628) x common factors =1 x 1 = 1

LCM(3917,7628) = ( 3917 × 7628 ) / 1

LCM(3917,7628) = 29878876 / 1

LCM(3917,7628) = 29878876


Lets's calculate GCF of 189,2722

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 29878876/1

Therefore the LCM of Fractions 3917/189,7628/2722 is 29878876

Greatest Common Factor of 189,2722 By Matching Biggest Common Factor Method

Greatest Common Factor of 189,2722 By Matching Biggest Common Factor Method

Factors of 189

List of positive integer factors of 189 that divides 189 without a remainder.

1,3,7,9,21,27,63,189

Factors of 2722

List of positive integer factors of 2722 that divides 2722 without a remainder.

1,2,1361,2722

Greatest Common Factor

We found the factors 189,2722 . The biggest common factor number is the GCF number.
So the greatest common factor 189,2722 is 1.


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 3917/189, 7628/2722

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 3917/189, 7628/2722?

Answer: LCM of Numerators as per given numbers 3917/189, 7628/2722 is

LCM of Numerators i.e. for 3917,7628 is 29878876

GCF of denominators i.e. for 189,2722 is 1.

Thus, LCM of Fractions is 29878876.Finally, LCM of Fractions for 3917/189, 7628/2722 is 29878876.