Least Common Multiple of 22, 24, 361

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Use the LCM of two or more numbers Calculator to find the Least Common Multiple of numbers 22, 24, 361 i.e. 95304 smallest integer divisible by all numbers.

Least common multiple (LCM) of 22, 24, 361 is 95304.

LCM(22, 24, 361) = 95304

LCM of 22, 24, 361

Least common multiple or lowest common denominator (lcd) can be calculated in three ways

LCM of:

Least Common Multiple of 22,24,361

Least Common Multiple (LCM) of 22,24,361 is 95304

2 22, 24, 361
11, 12, 361

∴ So the LCM of the given numbers is 2 x 11 x 12 x 361 = 95304

Least Common Multiple of 22,24,361 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 22,24,361 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(22,24,361) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(22,24,361) x common factors =1 x 2 = 2

LCM(22,24,361) = ( 22 × 24 × 361 ) / 2

LCM(22,24,361) = 190608 / 2

LCM(22,24,361) = 95304

∴ Least Common Multiple of 22,24,361 is 95304

LCM of two or more Numbers Calculation Examples

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Frequently Asked Questions on LCM of 22, 24, 361

1. What is the LCM of 22, 24, 361?

Answer: LCM of 22, 24, 361 is 95304.

2. What are the Factors of 95304?

Answer: Factors of 95304 are . There are integers that are factors of 95304

3. How to Find the LCM of 22, 24, 361 ?

Least Common Multiple of 22, 24, 361.

Step 1: Divide all the numbers with common prime numbers having remainder zero.

Step 2: Then multiply all the prime factors with last row quotient of common division that is LCM(22, 24, 361) = 2 x 2 x 2 x 3 x 11 x 19 x 19 = 95304.