Least Common Multiple of 374/41, 731/85, 383/365

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 374/41, 731/85, 383/365 quickly i.e. 6159406 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 374/41, 731/85, 383/365 is 6159406.

LCM(374/41, 731/85, 383/365) = 6159406

LCM of 374/41, 731/85, 383/365

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 374/41,731/85,383/365

Given numbers are 374/41,731/85,383/365

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 374,731,383

Least Common Multiple of Numerators i.e. LCM of 374,731,383 is 6159406.

GCF of Denominators means GCF of 41,85,365 as per the given fractions.

GCF of 41,85,365 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 374,731,383

LCM of Fractions 374/41,731/85,383/365 is 6159406

17 374, 731, 383
22, 43, 383

∴ So the LCM of the given numbers is 17 x 22 x 43 x 383 = 6159406

Least Common Multiple of 374,731,383 with GCF Formula

Least Common Multiple of 374,731,383 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 374,731,383 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(374,731,383) = 1

common factors(in case of two or more numbers have common factors) = 17

GCF(374,731,383) x common factors =1 x 17 = 17

LCM(374,731,383) = ( 374 × 731 × 383 ) / 17

LCM(374,731,383) = 104709902 / 17

LCM(374,731,383) = 6159406


Lets's calculate GCF of 41,85,365

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6159406/1

Therefore the LCM of Fractions 374/41,731/85,383/365 is 6159406

Greatest Common Factor of 41,85,365 By Matching Biggest Common Factor Method

Greatest Common Factor of 41,85,365 By Matching Biggest Common Factor Method

Factors of 41

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

1,41

Factors of 85

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

1,5,17,85

Factors of 365

List of positive integer factors of 365 that divides 365 without a remainder.

1,5,73,365

Greatest Common Factor

We found the factors 41,85,365 . The biggest common factor number is the GCF number.
So the greatest common factor 41,85,365 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 374/41, 731/85, 383/365

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 374/41, 731/85, 383/365?

Answer: LCM of Numerators as per given numbers 374/41, 731/85, 383/365 is

LCM of Numerators i.e. for 374,731,383 is 6159406

GCF of denominators i.e. for 41,85,365 is 1.

Thus, LCM of Fractions is 6159406.Finally, LCM of Fractions for 374/41, 731/85, 383/365 is 6159406.