Least Common Multiple of 90/414, 2822/6476

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 90/414, 2822/6476 quickly i.e. 63495 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 90/414, 2822/6476 is 63495.

LCM(90/414, 2822/6476) = 63495

LCM of 90/414, 2822/6476

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 90/414,2822/6476

Given numbers are 90/414,2822/6476

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 90,2822

Least Common Multiple of Numerators i.e. LCM of 90,2822 is 126990.

GCF of Denominators means GCF of 414,6476 as per the given fractions.

GCF of 414,6476 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 90,2822

LCM of Fractions 90/414,2822/6476 is 63495

2 90, 2822
45, 1411

∴ So the LCM of the given numbers is 2 x 45 x 1411 = 126990

Least Common Multiple of 90,2822 with GCF Formula

Least Common Multiple of 90,2822 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 90,2822 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(90,2822) = 2

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

GCF(90,2822) x common factors =2 x 1 = 2

LCM(90,2822) = ( 90 × 2822 ) / 2

LCM(90,2822) = 253980 / 2

LCM(90,2822) = 126990


Lets's calculate GCF of 414,6476

2 414, 6476
207, 3238

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 126990/2

Therefore the LCM of Fractions 90/414,2822/6476 is 63495

Greatest Common Factor of 414,6476 By Matching Biggest Common Factor Method

Greatest Common Factor of 414,6476 By Matching Biggest Common Factor Method

Factors of 414

List of positive integer factors of 414 that divides 414 without a remainder.

1,2,3,6,9,18,23,46,69,138,207,414

Factors of 6476

List of positive integer factors of 6476 that divides 6476 without a remainder.

1,2,4,1619,3238,6476

Greatest Common Factor

We found the factors 414,6476 . The biggest common factor number is the GCF number.
So the greatest common factor 414,6476 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 90/414, 2822/6476

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 90/414, 2822/6476?

Answer: LCM of Numerators as per given numbers 90/414, 2822/6476 is

LCM of Numerators i.e. for 90,2822 is 126990

GCF of denominators i.e. for 414,6476 is 2.

Thus, LCM of Fractions is 63495.Finally, LCM of Fractions for 90/414, 2822/6476 is 63495.