Least Common Multiple of 354/68, 467/3290

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 354/68, 467/3290 quickly i.e. 82659 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 354/68, 467/3290 is 82659.

LCM(354/68, 467/3290) = 82659

LCM of 354/68, 467/3290

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 354/68,467/3290

Given numbers are 354/68,467/3290

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 354,467

Least Common Multiple of Numerators i.e. LCM of 354,467 is 165318.

GCF of Denominators means GCF of 68,3290 as per the given fractions.

GCF of 68,3290 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 354,467

LCM of Fractions 354/68,467/3290 is 82659

Given numbers has no common factors except 1. So, there LCM is their product i.e 165318

Least Common Multiple of 354,467 with GCF Formula

Least Common Multiple of 354,467 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 354,467 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(354,467) = 1

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

GCF(354,467) x common factors =1 x 1 = 1

LCM(354,467) = ( 354 × 467 ) / 1

LCM(354,467) = 165318 / 1

LCM(354,467) = 165318


Lets's calculate GCF of 68,3290

2 68, 3290
34, 1645

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 165318/2

Therefore the LCM of Fractions 354/68,467/3290 is 82659

Greatest Common Factor of 68,3290 By Matching Biggest Common Factor Method

Greatest Common Factor of 68,3290 By Matching Biggest Common Factor Method

Factors of 68

List of positive integer factors of 68 that divides 68 without a remainder.

1,2,4,17,34,68

Factors of 3290

List of positive integer factors of 3290 that divides 3290 without a remainder.

1,2,5,7,10,14,35,47,70,94,235,329,470,658,1645,3290

Greatest Common Factor

We found the factors 68,3290 . The biggest common factor number is the GCF number.
So the greatest common factor 68,3290 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 354/68, 467/3290

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 354/68, 467/3290?

Answer: LCM of Numerators as per given numbers 354/68, 467/3290 is

LCM of Numerators i.e. for 354,467 is 165318

GCF of denominators i.e. for 68,3290 is 2.

Thus, LCM of Fractions is 82659.Finally, LCM of Fractions for 354/68, 467/3290 is 82659.