Least Common Multiple of 739/67, 823/58, 682/80

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 739/67, 823/58, 682/80 quickly i.e. 414790354 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 739/67, 823/58, 682/80 is 414790354.

LCM(739/67, 823/58, 682/80) = 414790354

LCM of 739/67, 823/58, 682/80

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 739/67,823/58,682/80

Given numbers are 739/67,823/58,682/80

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 739,823,682

Least Common Multiple of Numerators i.e. LCM of 739,823,682 is 414790354.

GCF of Denominators means GCF of 67,58,80 as per the given fractions.

GCF of 67,58,80 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 739,823,682

LCM of Fractions 739/67,823/58,682/80 is 414790354

Given numbers has no common factors except 1. So, there LCM is their product i.e 414790354

Least Common Multiple of 739,823,682 with GCF Formula

Least Common Multiple of 739,823,682 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 739,823,682 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(739,823,682) = 1

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

GCF(739,823,682) x common factors =1 x 1 = 1

LCM(739,823,682) = ( 739 × 823 × 682 ) / 1

LCM(739,823,682) = 414790354 / 1

LCM(739,823,682) = 414790354


Lets's calculate GCF of 67,58,80

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 414790354/1

Therefore the LCM of Fractions 739/67,823/58,682/80 is 414790354

Greatest Common Factor of 67,58,80 By Matching Biggest Common Factor Method

Greatest Common Factor of 67,58,80 By Matching Biggest Common Factor Method

Factors of 67

List of positive integer factors of 67 that divides 67 without a remainder.

1,67

Factors of 58

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

1,2,29,58

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

Greatest Common Factor

We found the factors 67,58,80 . The biggest common factor number is the GCF number.
So the greatest common factor 67,58,80 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 739/67, 823/58, 682/80

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 739/67, 823/58, 682/80?

Answer: LCM of Numerators as per given numbers 739/67, 823/58, 682/80 is

LCM of Numerators i.e. for 739,823,682 is 414790354

GCF of denominators i.e. for 67,58,80 is 1.

Thus, LCM of Fractions is 414790354.Finally, LCM of Fractions for 739/67, 823/58, 682/80 is 414790354.