Least Common Multiple of 41, 96, 68, 384

Q: How to Find the LCM of 41, 96, 68, 384 ?

Least Common Multiple of 41, 96, 68, 384 = 267648 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(41, 96, 68, 384) = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 17 x 41 = 267648.

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 41, 96, 68, 384 i.e. 267648 smallest integer divisible by all numbers.

Least common multiple (LCM) of 41, 96, 68, 384 is 267648.

LCM(41, 96, 68, 384) = 267648

LCM of 41, 96, 68, 384

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

Least Common Multiple of 41, 96, 68, 384 by common division method
Least Common Multiple of 41, 96, 68, 384 with GCF Formula

Least Common Multiple of 41,96,68,384

Least Common Multiple (LCM) of 41,96,68,384 is 267648

2	41, 96, 68, 384
2	41, 48, 34, 192
2	41, 24, 17, 96
2	41, 12, 17, 48
2	41, 6, 17, 24
3	41, 3, 17, 12
	41, 1, 17, 4

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 2 x 3 x 41 x 1 x 17 x 4 = 267648

Least Common Multiple of 41,96,68,384 with GCF Formula

The formula of LCM is LCM(a₁,a₂,a₃....,a_n) = ( a₁ × a₂ × a₃ × .... × a_n) / GCF(a₁,a₂,a₃....,a_n) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 41,96,68,384 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(41,96,68,384) = 1

common factors(in case of two or more numbers have common factors) = 384

GCF(41,96,68,384) x common factors =1 x 384 = 384

LCM(41,96,68,384) = ( 41 × 96 × 68 × 384 ) / 384

LCM(41,96,68,384) = 102776832 / 384

LCM(41,96,68,384) = 267648

∴ Least Common Multiple of 41,96,68,384 is 267648

LCM of two or more Numbers Calculation Examples

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Frequently Asked Questions on LCM of 41, 96, 68, 384

1. What is the LCM of 41, 96, 68, 384?

Answer: LCM of 41, 96, 68, 384 is 267648.

2. What are the Factors of 267648?

Answer: Factors of 267648 are . There are integers that are factors of 267648

3. How to Find the LCM of 41, 96, 68, 384 ?

Least Common Multiple of 41, 96, 68, 384.

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(41, 96, 68, 384) = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 17 x 41 = 267648.