Least Common Multiple of 874, 784, 384

Q: How to Find the LCM of 874, 784, 384 ?

Least Common Multiple of 874, 784, 384 = 8222592 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(874, 784, 384) = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 7 x 7 x 19 x 23 = 8222592.

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 874, 784, 384 i.e. 8222592 smallest integer divisible by all numbers.

Least common multiple (LCM) of 874, 784, 384 is 8222592.

LCM(874, 784, 384) = 8222592

LCM of 874, 784, 384

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

Least Common Multiple of 874, 784, 384 by common division method
Least Common Multiple of 874, 784, 384 with GCF Formula

Least Common Multiple of 874,784,384

Least Common Multiple (LCM) of 874,784,384 is 8222592

2	874, 784, 384
2	437, 392, 192
2	437, 196, 96
2	437, 98, 48
	437, 49, 24

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 437 x 49 x 24 = 8222592

Least Common Multiple of 874,784,384 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 874,784,384 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(874,784,384) = 2

common factors(in case of two or more numbers have common factors) = 16

GCF(874,784,384) x common factors =2 x 16 = 32

LCM(874,784,384) = ( 874 × 784 × 384 ) / 32

LCM(874,784,384) = 263122944 / 32

LCM(874,784,384) = 8222592

∴ Least Common Multiple of 874,784,384 is 8222592

LCM of two or more Numbers Calculation Examples

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Frequently Asked Questions on LCM of 874, 784, 384

1. What is the LCM of 874, 784, 384?

Answer: LCM of 874, 784, 384 is 8222592.

2. What are the Factors of 8222592?

Answer: Factors of 8222592 are . There are integers that are factors of 8222592

3. How to Find the LCM of 874, 784, 384 ?

Least Common Multiple of 874, 784, 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(874, 784, 384) = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 7 x 7 x 19 x 23 = 8222592.