Least Common Multiple of 90/462, 64/396

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 90/462, 64/396 quickly i.e. 2880/66 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 90/462, 64/396 is 2880/66.

LCM(90/462, 64/396) = 2880/66

LCM of 90/462, 64/396

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 90/462,64/396

Given numbers are 90/462,64/396

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 90,64

Least Common Multiple of Numerators i.e. LCM of 90,64 is 2880.

GCF of Denominators means GCF of 462,396 as per the given fractions.

GCF of 462,396 is 66 as it is the largest common factor for these numbers.

Lets's calculate LCM of 90,64

LCM of Fractions 90/462,64/396 is 2880/66

2 90, 64
45, 32

∴ So the LCM of the given numbers is 2 x 45 x 32 = 2880

Least Common Multiple of 90,64 with GCF Formula

Least Common Multiple of 90,64 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 90,64 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(90,64) = 2

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

GCF(90,64) x common factors =2 x 1 = 2

LCM(90,64) = ( 90 × 64 ) / 2

LCM(90,64) = 5760 / 2

LCM(90,64) = 2880


Lets's calculate GCF of 462,396

2 462, 396
3 231, 198
11 77, 66
7, 6

∴ So the GCF of the given numbers is 2 x 3 x 11 = 66

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2880/66

Therefore the LCM of Fractions 90/462,64/396 is 2880/66

Greatest Common Factor of 462,396 By Matching Biggest Common Factor Method

Greatest Common Factor of 462,396 By Matching Biggest Common Factor Method

Factors of 462

List of positive integer factors of 462 that divides 462 without a remainder.

1,2,3,6,7,11,14,21,22,33,42,66,77,154,231,462

Factors of 396

List of positive integer factors of 396 that divides 396 without a remainder.

1,2,3,4,6,9,11,12,18,22,33,36,44,66,99,132,198,396

Greatest Common Factor

We found the factors 462,396 . The biggest common factor number is the GCF number.
So the greatest common factor 462,396 is 66.


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 90/462, 64/396

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 90/462, 64/396?

Answer: LCM of Numerators as per given numbers 90/462, 64/396 is

LCM of Numerators i.e. for 90,64 is 2880

GCF of denominators i.e. for 462,396 is 66.

Thus, LCM of Fractions is 2880/66.Finally, LCM of Fractions for 90/462, 64/396 is 2880/66.