Least Common Multiple of 458/67, 406/79, 723/85

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 458/67, 406/79, 723/85 quickly i.e. 67220202 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 458/67, 406/79, 723/85 is 67220202.

LCM(458/67, 406/79, 723/85) = 67220202

LCM of 458/67, 406/79, 723/85

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 458/67,406/79,723/85

Given numbers are 458/67,406/79,723/85

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 458,406,723

Least Common Multiple of Numerators i.e. LCM of 458,406,723 is 67220202.

GCF of Denominators means GCF of 67,79,85 as per the given fractions.

GCF of 67,79,85 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 458,406,723

LCM of Fractions 458/67,406/79,723/85 is 67220202

2 458, 406, 723
229, 203, 723

∴ So the LCM of the given numbers is 2 x 229 x 203 x 723 = 67220202

Least Common Multiple of 458,406,723 with GCF Formula

Least Common Multiple of 458,406,723 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 458,406,723 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(458,406,723) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(458,406,723) x common factors =1 x 2 = 2

LCM(458,406,723) = ( 458 × 406 × 723 ) / 2

LCM(458,406,723) = 134440404 / 2

LCM(458,406,723) = 67220202


Lets's calculate GCF of 67,79,85

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 67220202/1

Therefore the LCM of Fractions 458/67,406/79,723/85 is 67220202

Greatest Common Factor of 67,79,85 By Matching Biggest Common Factor Method

Greatest Common Factor of 67,79,85 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 79

List of positive integer factors of 79 that divides 79 without a remainder.

1,79

Factors of 85

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

1,5,17,85

Greatest Common Factor

We found the factors 67,79,85 . The biggest common factor number is the GCF number.
So the greatest common factor 67,79,85 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 458/67, 406/79, 723/85

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 458/67, 406/79, 723/85?

Answer: LCM of Numerators as per given numbers 458/67, 406/79, 723/85 is

LCM of Numerators i.e. for 458,406,723 is 67220202

GCF of denominators i.e. for 67,79,85 is 1.

Thus, LCM of Fractions is 67220202.Finally, LCM of Fractions for 458/67, 406/79, 723/85 is 67220202.