Least Common Multiple of 734/73, 253/85, 842/185

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 734/73, 253/85, 842/185 quickly i.e. 78180542 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 734/73, 253/85, 842/185 is 78180542.

LCM(734/73, 253/85, 842/185) = 78180542

LCM of 734/73, 253/85, 842/185

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 734/73,253/85,842/185

Given numbers are 734/73,253/85,842/185

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 734,253,842

Least Common Multiple of Numerators i.e. LCM of 734,253,842 is 78180542.

GCF of Denominators means GCF of 73,85,185 as per the given fractions.

GCF of 73,85,185 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 734,253,842

LCM of Fractions 734/73,253/85,842/185 is 78180542

2 734, 253, 842
367, 253, 421

∴ So the LCM of the given numbers is 2 x 367 x 253 x 421 = 78180542

Least Common Multiple of 734,253,842 with GCF Formula

Least Common Multiple of 734,253,842 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 734,253,842 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(734,253,842) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(734,253,842) x common factors =1 x 2 = 2

LCM(734,253,842) = ( 734 × 253 × 842 ) / 2

LCM(734,253,842) = 156361084 / 2

LCM(734,253,842) = 78180542


Lets's calculate GCF of 73,85,185

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 78180542/1

Therefore the LCM of Fractions 734/73,253/85,842/185 is 78180542

Greatest Common Factor of 73,85,185 By Matching Biggest Common Factor Method

Greatest Common Factor of 73,85,185 By Matching Biggest Common Factor Method

Factors of 73

List of positive integer factors of 73 that divides 73 without a remainder.

1,73

Factors of 85

List of positive integer factors of 85 that divides 85 without a remainder.

1,5,17,85

Factors of 185

List of positive integer factors of 185 that divides 185 without a remainder.

1,5,37,185

Greatest Common Factor

We found the factors 73,85,185 . The biggest common factor number is the GCF number.
So the greatest common factor 73,85,185 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 734/73, 253/85, 842/185

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 734/73, 253/85, 842/185?

Answer: LCM of Numerators as per given numbers 734/73, 253/85, 842/185 is

LCM of Numerators i.e. for 734,253,842 is 78180542

GCF of denominators i.e. for 73,85,185 is 1.

Thus, LCM of Fractions is 78180542.Finally, LCM of Fractions for 734/73, 253/85, 842/185 is 78180542.