Least Common Multiple of 32/454, 227/901, 232/822

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 32/454, 227/901, 232/822 quickly i.e. 210656 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 32/454, 227/901, 232/822 is 210656.

LCM(32/454, 227/901, 232/822) = 210656

LCM of 32/454, 227/901, 232/822

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 32/454,227/901,232/822

Given numbers are 32/454,227/901,232/822

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 32,227,232

Least Common Multiple of Numerators i.e. LCM of 32,227,232 is 210656.

GCF of Denominators means GCF of 454,901,822 as per the given fractions.

GCF of 454,901,822 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 32,227,232

LCM of Fractions 32/454,227/901,232/822 is 210656

2 32, 227, 232
2 16, 227, 116
2 8, 227, 58
4, 227, 29

∴ So the LCM of the given numbers is 2 x 2 x 2 x 4 x 227 x 29 = 210656

Least Common Multiple of 32,227,232 with GCF Formula

Least Common Multiple of 32,227,232 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 32,227,232 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(32,227,232) = 1

common factors(in case of two or more numbers have common factors) = 8

GCF(32,227,232) x common factors =1 x 8 = 8

LCM(32,227,232) = ( 32 × 227 × 232 ) / 8

LCM(32,227,232) = 1685248 / 8

LCM(32,227,232) = 210656


Lets's calculate GCF of 454,901,822

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 210656/1

Therefore the LCM of Fractions 32/454,227/901,232/822 is 210656

Greatest Common Factor of 454,901,822 By Matching Biggest Common Factor Method

Greatest Common Factor of 454,901,822 By Matching Biggest Common Factor Method

Factors of 454

List of positive integer factors of 454 that divides 454 without a remainder.

1,2,227,454

Factors of 901

List of positive integer factors of 901 that divides 901 without a remainder.

1,17,53,901

Factors of 822

List of positive integer factors of 822 that divides 822 without a remainder.

1,2,3,6,137,274,411,822

Greatest Common Factor

We found the factors 454,901,822 . The biggest common factor number is the GCF number.
So the greatest common factor 454,901,822 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 32/454, 227/901, 232/822

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 32/454, 227/901, 232/822?

Answer: LCM of Numerators as per given numbers 32/454, 227/901, 232/822 is

LCM of Numerators i.e. for 32,227,232 is 210656

GCF of denominators i.e. for 454,901,822 is 1.

Thus, LCM of Fractions is 210656.Finally, LCM of Fractions for 32/454, 227/901, 232/822 is 210656.