Least Common Multiple of 33/67, 31/19, 60/10, 480/85

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 33/67, 31/19, 60/10, 480/85 quickly i.e. 163680 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 33/67, 31/19, 60/10, 480/85 is 163680.

LCM(33/67, 31/19, 60/10, 480/85) = 163680

LCM of 33/67, 31/19, 60/10, 480/85

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 33/67,31/19,60/10,480/85

Given numbers are 33/67,31/19,60/10,480/85

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 33,31,60,480

Least Common Multiple of Numerators i.e. LCM of 33,31,60,480 is 163680.

GCF of Denominators means GCF of 67,19,10,85 as per the given fractions.

GCF of 67,19,10,85 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 33,31,60,480

LCM of Fractions 33/67,31/19,60/10,480/85 is 163680

2 33, 31, 60, 480
2 33, 31, 30, 240
3 33, 31, 15, 120
5 11, 31, 5, 40
11, 31, 1, 8

∴ So the LCM of the given numbers is 2 x 2 x 3 x 5 x 11 x 31 x 1 x 8 = 163680

Least Common Multiple of 33,31,60,480 with GCF Formula

Least Common Multiple of 33,31,60,480 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 33,31,60,480 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(33,31,60,480) = 1

common factors(in case of two or more numbers have common factors) = 180

GCF(33,31,60,480) x common factors =1 x 180 = 180

LCM(33,31,60,480) = ( 33 × 31 × 60 × 480 ) / 180

LCM(33,31,60,480) = 29462400 / 180

LCM(33,31,60,480) = 163680


Lets's calculate GCF of 67,19,10,85

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 163680/1

Therefore the LCM of Fractions 33/67,31/19,60/10,480/85 is 163680

Greatest Common Factor of 67,19,10,85 By Matching Biggest Common Factor Method

Greatest Common Factor of 67,19,10,85 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 19

List of positive integer factors of 19 that divides 19 without a remainder.

1,19

Factors of 10

List of positive integer factors of 10 that divides 10 without a remainder.

1,2,5,10

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 67,19,10,85 . The biggest common factor number is the GCF number.
So the greatest common factor 67,19,10,85 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 33/67, 31/19, 60/10, 480/85

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 33/67, 31/19, 60/10, 480/85?

Answer: LCM of Numerators as per given numbers 33/67, 31/19, 60/10, 480/85 is

LCM of Numerators i.e. for 33,31,60,480 is 163680

GCF of denominators i.e. for 67,19,10,85 is 1.

Thus, LCM of Fractions is 163680.Finally, LCM of Fractions for 33/67, 31/19, 60/10, 480/85 is 163680.