Least Common Multiple of 9454/174, 8673/3722

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 9454/174, 8673/3722 quickly i.e. 40997271 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 9454/174, 8673/3722 is 40997271.

LCM(9454/174, 8673/3722) = 40997271

LCM of 9454/174, 8673/3722

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 9454/174,8673/3722

Given numbers are 9454/174,8673/3722

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 9454,8673

Least Common Multiple of Numerators i.e. LCM of 9454,8673 is 81994542.

GCF of Denominators means GCF of 174,3722 as per the given fractions.

GCF of 174,3722 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 9454,8673

LCM of Fractions 9454/174,8673/3722 is 40997271

Given numbers has no common factors except 1. So, there LCM is their product i.e 81994542

Least Common Multiple of 9454,8673 with GCF Formula

Least Common Multiple of 9454,8673 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 9454,8673 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(9454,8673) = 1

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

GCF(9454,8673) x common factors =1 x 1 = 1

LCM(9454,8673) = ( 9454 × 8673 ) / 1

LCM(9454,8673) = 81994542 / 1

LCM(9454,8673) = 81994542


Lets's calculate GCF of 174,3722

2 174, 3722
87, 1861

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 81994542/2

Therefore the LCM of Fractions 9454/174,8673/3722 is 40997271

Greatest Common Factor of 174,3722 By Matching Biggest Common Factor Method

Greatest Common Factor of 174,3722 By Matching Biggest Common Factor Method

Factors of 174

List of positive integer factors of 174 that divides 174 without a remainder.

1,2,3,6,29,58,87,174

Factors of 3722

List of positive integer factors of 3722 that divides 3722 without a remainder.

1,2,1861,3722

Greatest Common Factor

We found the factors 174,3722 . The biggest common factor number is the GCF number.
So the greatest common factor 174,3722 is 2.


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 9454/174, 8673/3722

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 9454/174, 8673/3722?

Answer: LCM of Numerators as per given numbers 9454/174, 8673/3722 is

LCM of Numerators i.e. for 9454,8673 is 81994542

GCF of denominators i.e. for 174,3722 is 2.

Thus, LCM of Fractions is 40997271.Finally, LCM of Fractions for 9454/174, 8673/3722 is 40997271.