Least Common Multiple of 81/374, 413/716, 819/718

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 81/374, 413/716, 819/718 quickly i.e. 434889/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 81/374, 413/716, 819/718 is 434889/2.

LCM(81/374, 413/716, 819/718) = 434889/2

LCM of 81/374, 413/716, 819/718

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 81/374,413/716,819/718

Given numbers are 81/374,413/716,819/718

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 81,413,819

Least Common Multiple of Numerators i.e. LCM of 81,413,819 is 434889.

GCF of Denominators means GCF of 374,716,718 as per the given fractions.

GCF of 374,716,718 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 81,413,819

LCM of Fractions 81/374,413/716,819/718 is 434889/2

3 81, 413, 819
3 27, 413, 273
7 9, 413, 91
9, 59, 13

∴ So the LCM of the given numbers is 3 x 3 x 7 x 9 x 59 x 13 = 434889

Least Common Multiple of 81,413,819 with GCF Formula

Least Common Multiple of 81,413,819 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 81,413,819 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(81,413,819) = 1

common factors(in case of two or more numbers have common factors) = 63

GCF(81,413,819) x common factors =1 x 63 = 63

LCM(81,413,819) = ( 81 × 413 × 819 ) / 63

LCM(81,413,819) = 27398007 / 63

LCM(81,413,819) = 434889


Lets's calculate GCF of 374,716,718

2 374, 716, 718
187, 358, 359

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 434889/2

Therefore the LCM of Fractions 81/374,413/716,819/718 is 434889/2

Greatest Common Factor of 374,716,718 By Matching Biggest Common Factor Method

Greatest Common Factor of 374,716,718 By Matching Biggest Common Factor Method

Factors of 374

List of positive integer factors of 374 that divides 374 without a remainder.

1,2,11,17,22,34,187,374

Factors of 716

List of positive integer factors of 716 that divides 716 without a remainder.

1,2,4,179,358,716

Factors of 718

List of positive integer factors of 718 that divides 718 without a remainder.

1,2,359,718

Greatest Common Factor

We found the factors 374,716,718 . The biggest common factor number is the GCF number.
So the greatest common factor 374,716,718 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 81/374, 413/716, 819/718

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 81/374, 413/716, 819/718?

Answer: LCM of Numerators as per given numbers 81/374, 413/716, 819/718 is

LCM of Numerators i.e. for 81,413,819 is 434889

GCF of denominators i.e. for 374,716,718 is 2.

Thus, LCM of Fractions is 434889/2.Finally, LCM of Fractions for 81/374, 413/716, 819/718 is 434889/2.