Least Common Multiple of 801/58, 868/81, 345/742

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 801/58, 868/81, 345/742 quickly i.e. 79955820 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 801/58, 868/81, 345/742 is 79955820.

LCM(801/58, 868/81, 345/742) = 79955820

LCM of 801/58, 868/81, 345/742

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 801/58,868/81,345/742

Given numbers are 801/58,868/81,345/742

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 801,868,345

Least Common Multiple of Numerators i.e. LCM of 801,868,345 is 79955820.

GCF of Denominators means GCF of 58,81,742 as per the given fractions.

GCF of 58,81,742 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 801,868,345

LCM of Fractions 801/58,868/81,345/742 is 79955820

3 801, 868, 345
267, 868, 115

∴ So the LCM of the given numbers is 3 x 267 x 868 x 115 = 79955820

Least Common Multiple of 801,868,345 with GCF Formula

Least Common Multiple of 801,868,345 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 801,868,345 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(801,868,345) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(801,868,345) x common factors =1 x 3 = 3

LCM(801,868,345) = ( 801 × 868 × 345 ) / 3

LCM(801,868,345) = 239867460 / 3

LCM(801,868,345) = 79955820


Lets's calculate GCF of 58,81,742

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 79955820/1

Therefore the LCM of Fractions 801/58,868/81,345/742 is 79955820

Greatest Common Factor of 58,81,742 By Matching Biggest Common Factor Method

Greatest Common Factor of 58,81,742 By Matching Biggest Common Factor Method

Factors of 58

List of positive integer factors of 58 that divides 58 without a remainder.

1,2,29,58

Factors of 81

List of positive integer factors of 81 that divides 81 without a remainder.

1,3,9,27,81

Factors of 742

List of positive integer factors of 742 that divides 742 without a remainder.

1,2,7,14,53,106,371,742

Greatest Common Factor

We found the factors 58,81,742 . The biggest common factor number is the GCF number.
So the greatest common factor 58,81,742 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 801/58, 868/81, 345/742

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 801/58, 868/81, 345/742?

Answer: LCM of Numerators as per given numbers 801/58, 868/81, 345/742 is

LCM of Numerators i.e. for 801,868,345 is 79955820

GCF of denominators i.e. for 58,81,742 is 1.

Thus, LCM of Fractions is 79955820.Finally, LCM of Fractions for 801/58, 868/81, 345/742 is 79955820.