Least Common Multiple of 30/31, 48/68, 91/82, 67/609

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 30/31, 48/68, 91/82, 67/609 quickly i.e. 1463280 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 30/31, 48/68, 91/82, 67/609 is 1463280.

LCM(30/31, 48/68, 91/82, 67/609) = 1463280

LCM of 30/31, 48/68, 91/82, 67/609

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 30/31,48/68,91/82,67/609

Given numbers are 30/31,48/68,91/82,67/609

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 30,48,91,67

Least Common Multiple of Numerators i.e. LCM of 30,48,91,67 is 1463280.

GCF of Denominators means GCF of 31,68,82,609 as per the given fractions.

GCF of 31,68,82,609 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 30,48,91,67

LCM of Fractions 30/31,48/68,91/82,67/609 is 1463280

2 30, 48, 91, 67
3 15, 24, 91, 67
5, 8, 91, 67

∴ So the LCM of the given numbers is 2 x 3 x 5 x 8 x 91 x 67 = 1463280

Least Common Multiple of 30,48,91,67 with GCF Formula

Least Common Multiple of 30,48,91,67 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 30,48,91,67 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(30,48,91,67) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(30,48,91,67) x common factors =1 x 6 = 6

LCM(30,48,91,67) = ( 30 × 48 × 91 × 67 ) / 6

LCM(30,48,91,67) = 8779680 / 6

LCM(30,48,91,67) = 1463280


Lets's calculate GCF of 31,68,82,609

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1463280/1

Therefore the LCM of Fractions 30/31,48/68,91/82,67/609 is 1463280

Greatest Common Factor of 31,68,82,609 By Matching Biggest Common Factor Method

Greatest Common Factor of 31,68,82,609 By Matching Biggest Common Factor Method

Factors of 31

List of positive integer factors of 31 that divides 31 without a remainder.

1,31

Factors of 68

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

1,2,4,17,34,68

Factors of 82

List of positive integer factors of 82 that divides 82 without a remainder.

1,2,41,82

Factors of 609

List of positive integer factors of 609 that divides 609 without a remainder.

1,3,7,21,29,87,203,609

Greatest Common Factor

We found the factors 31,68,82,609 . The biggest common factor number is the GCF number.
So the greatest common factor 31,68,82,609 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 30/31, 48/68, 91/82, 67/609

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 30/31, 48/68, 91/82, 67/609?

Answer: LCM of Numerators as per given numbers 30/31, 48/68, 91/82, 67/609 is

LCM of Numerators i.e. for 30,48,91,67 is 1463280

GCF of denominators i.e. for 31,68,82,609 is 1.

Thus, LCM of Fractions is 1463280.Finally, LCM of Fractions for 30/31, 48/68, 91/82, 67/609 is 1463280.