Least Common Multiple of 90/33, 62/60, 465/646

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 90/33, 62/60, 465/646 quickly i.e. 2790 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 90/33, 62/60, 465/646 is 2790.

LCM(90/33, 62/60, 465/646) = 2790

LCM of 90/33, 62/60, 465/646

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 90/33,62/60,465/646

Given numbers are 90/33,62/60,465/646

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 90,62,465

Least Common Multiple of Numerators i.e. LCM of 90,62,465 is 2790.

GCF of Denominators means GCF of 33,60,646 as per the given fractions.

GCF of 33,60,646 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 90,62,465

LCM of Fractions 90/33,62/60,465/646 is 2790

2 90, 62, 465
3 45, 31, 465
5 15, 31, 155
31 3, 31, 31
3, 1, 1

∴ So the LCM of the given numbers is 2 x 3 x 5 x 31 x 3 x 1 x 1 = 2790

Least Common Multiple of 90,62,465 with GCF Formula

Least Common Multiple of 90,62,465 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 90,62,465 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(90,62,465) = 1

common factors(in case of two or more numbers have common factors) = 930

GCF(90,62,465) x common factors =1 x 930 = 930

LCM(90,62,465) = ( 90 × 62 × 465 ) / 930

LCM(90,62,465) = 2594700 / 930

LCM(90,62,465) = 2790


Lets's calculate GCF of 33,60,646

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2790/1

Therefore the LCM of Fractions 90/33,62/60,465/646 is 2790

Greatest Common Factor of 33,60,646 By Matching Biggest Common Factor Method

Greatest Common Factor of 33,60,646 By Matching Biggest Common Factor Method

Factors of 33

List of positive integer factors of 33 that divides 33 without a remainder.

1,3,11,33

Factors of 60

List of positive integer factors of 60 that divides 60 without a remainder.

1,2,3,4,5,6,10,12,15,20,30,60

Factors of 646

List of positive integer factors of 646 that divides 646 without a remainder.

1,2,17,19,34,38,323,646

Greatest Common Factor

We found the factors 33,60,646 . The biggest common factor number is the GCF number.
So the greatest common factor 33,60,646 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 90/33, 62/60, 465/646

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 90/33, 62/60, 465/646?

Answer: LCM of Numerators as per given numbers 90/33, 62/60, 465/646 is

LCM of Numerators i.e. for 90,62,465 is 2790

GCF of denominators i.e. for 33,60,646 is 1.

Thus, LCM of Fractions is 2790.Finally, LCM of Fractions for 90/33, 62/60, 465/646 is 2790.