Least Common Multiple of 734/85, 463/41, 135/44

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 734/85, 463/41, 135/44 quickly i.e. 45878670 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 734/85, 463/41, 135/44 is 45878670.

LCM(734/85, 463/41, 135/44) = 45878670

LCM of 734/85, 463/41, 135/44

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 734/85,463/41,135/44

Given numbers are 734/85,463/41,135/44

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 734,463,135

Least Common Multiple of Numerators i.e. LCM of 734,463,135 is 45878670.

GCF of Denominators means GCF of 85,41,44 as per the given fractions.

GCF of 85,41,44 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 734,463,135

LCM of Fractions 734/85,463/41,135/44 is 45878670

Given numbers has no common factors except 1. So, there LCM is their product i.e 45878670

Least Common Multiple of 734,463,135 with GCF Formula

Least Common Multiple of 734,463,135 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 734,463,135 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(734,463,135) = 1

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

GCF(734,463,135) x common factors =1 x 1 = 1

LCM(734,463,135) = ( 734 × 463 × 135 ) / 1

LCM(734,463,135) = 45878670 / 1

LCM(734,463,135) = 45878670


Lets's calculate GCF of 85,41,44

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 45878670/1

Therefore the LCM of Fractions 734/85,463/41,135/44 is 45878670

Greatest Common Factor of 85,41,44 By Matching Biggest Common Factor Method

Greatest Common Factor of 85,41,44 By Matching Biggest Common Factor Method

Factors of 85

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

1,5,17,85

Factors of 41

List of positive integer factors of 41 that divides 41 without a remainder.

1,41

Factors of 44

List of positive integer factors of 44 that divides 44 without a remainder.

1,2,4,11,22,44

Greatest Common Factor

We found the factors 85,41,44 . The biggest common factor number is the GCF number.
So the greatest common factor 85,41,44 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 734/85, 463/41, 135/44

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 734/85, 463/41, 135/44?

Answer: LCM of Numerators as per given numbers 734/85, 463/41, 135/44 is

LCM of Numerators i.e. for 734,463,135 is 45878670

GCF of denominators i.e. for 85,41,44 is 1.

Thus, LCM of Fractions is 45878670.Finally, LCM of Fractions for 734/85, 463/41, 135/44 is 45878670.