Least Common Multiple of 371/80, 441/93, 474/546

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 371/80, 441/93, 474/546 quickly i.e. 3692934 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 371/80, 441/93, 474/546 is 3692934.

LCM(371/80, 441/93, 474/546) = 3692934

LCM of 371/80, 441/93, 474/546

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 371/80,441/93,474/546

Given numbers are 371/80,441/93,474/546

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 371,441,474

Least Common Multiple of Numerators i.e. LCM of 371,441,474 is 3692934.

GCF of Denominators means GCF of 80,93,546 as per the given fractions.

GCF of 80,93,546 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 371,441,474

LCM of Fractions 371/80,441/93,474/546 is 3692934

3 371, 441, 474
7 371, 147, 158
53, 21, 158

∴ So the LCM of the given numbers is 3 x 7 x 53 x 21 x 158 = 3692934

Least Common Multiple of 371,441,474 with GCF Formula

Least Common Multiple of 371,441,474 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 371,441,474 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(371,441,474) = 1

common factors(in case of two or more numbers have common factors) = 21

GCF(371,441,474) x common factors =1 x 21 = 21

LCM(371,441,474) = ( 371 × 441 × 474 ) / 21

LCM(371,441,474) = 77551614 / 21

LCM(371,441,474) = 3692934


Lets's calculate GCF of 80,93,546

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3692934/1

Therefore the LCM of Fractions 371/80,441/93,474/546 is 3692934

Greatest Common Factor of 80,93,546 By Matching Biggest Common Factor Method

Greatest Common Factor of 80,93,546 By Matching Biggest Common Factor Method

Factors of 80

List of positive integer factors of 80 that divides 80 without a remainder.

1,2,4,5,8,10,16,20,40,80

Factors of 93

List of positive integer factors of 93 that divides 93 without a remainder.

1,3,31,93

Factors of 546

List of positive integer factors of 546 that divides 546 without a remainder.

1,2,3,6,7,13,14,21,26,39,42,78,91,182,273,546

Greatest Common Factor

We found the factors 80,93,546 . The biggest common factor number is the GCF number.
So the greatest common factor 80,93,546 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 371/80, 441/93, 474/546

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 371/80, 441/93, 474/546?

Answer: LCM of Numerators as per given numbers 371/80, 441/93, 474/546 is

LCM of Numerators i.e. for 371,441,474 is 3692934

GCF of denominators i.e. for 80,93,546 is 1.

Thus, LCM of Fractions is 3692934.Finally, LCM of Fractions for 371/80, 441/93, 474/546 is 3692934.