Least Common Multiple of 734/76, 5841/174

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 734/76, 5841/174 quickly i.e. 2143647 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 734/76, 5841/174 is 2143647.

LCM(734/76, 5841/174) = 2143647

LCM of 734/76, 5841/174

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 734/76,5841/174

Given numbers are 734/76,5841/174

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 734,5841

Least Common Multiple of Numerators i.e. LCM of 734,5841 is 4287294.

GCF of Denominators means GCF of 76,174 as per the given fractions.

GCF of 76,174 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 734,5841

LCM of Fractions 734/76,5841/174 is 2143647

Given numbers has no common factors except 1. So, there LCM is their product i.e 4287294

Least Common Multiple of 734,5841 with GCF Formula

Least Common Multiple of 734,5841 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 734,5841 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(734,5841) = 1

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

GCF(734,5841) x common factors =1 x 1 = 1

LCM(734,5841) = ( 734 × 5841 ) / 1

LCM(734,5841) = 4287294 / 1

LCM(734,5841) = 4287294


Lets's calculate GCF of 76,174

2 76, 174
38, 87

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4287294/2

Therefore the LCM of Fractions 734/76,5841/174 is 2143647

Greatest Common Factor of 76,174 By Matching Biggest Common Factor Method

Greatest Common Factor of 76,174 By Matching Biggest Common Factor Method

Factors of 76

List of positive integer factors of 76 that divides 76 without a remainder.

1,2,4,19,38,76

Factors of 174

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

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

Greatest Common Factor

We found the factors 76,174 . The biggest common factor number is the GCF number.
So the greatest common factor 76,174 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 734/76, 5841/174

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 734/76, 5841/174?

Answer: LCM of Numerators as per given numbers 734/76, 5841/174 is

LCM of Numerators i.e. for 734,5841 is 4287294

GCF of denominators i.e. for 76,174 is 2.

Thus, LCM of Fractions is 2143647.Finally, LCM of Fractions for 734/76, 5841/174 is 2143647.