Least Common Multiple of 663, 414, 374

Q: How to Find the LCM of 663, 414, 374 ?

Least Common Multiple of 663, 414, 374 = 1006434 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(663, 414, 374) = 2 x 3 x 3 x 11 x 13 x 17 x 23 = 1006434.

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 663, 414, 374 i.e. 1006434 smallest integer divisible by all numbers.

Least common multiple (LCM) of 663, 414, 374 is 1006434.

LCM(663, 414, 374) = 1006434

LCM of 663, 414, 374

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

Least Common Multiple of 663, 414, 374 by common division method
Least Common Multiple of 663, 414, 374 with GCF Formula

Least Common Multiple of 663,414,374

Least Common Multiple (LCM) of 663,414,374 is 1006434

2	663, 414, 374
3	663, 207, 187
17	221, 69, 187
	13, 69, 11

∴ So the LCM of the given numbers is 2 x 3 x 17 x 13 x 69 x 11 = 1006434

Least Common Multiple of 663,414,374 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 663,414,374 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(663,414,374) = 1

common factors(in case of two or more numbers have common factors) = 102

GCF(663,414,374) x common factors =1 x 102 = 102

LCM(663,414,374) = ( 663 × 414 × 374 ) / 102

LCM(663,414,374) = 102656268 / 102

LCM(663,414,374) = 1006434

∴ Least Common Multiple of 663,414,374 is 1006434

LCM of two or more Numbers Calculation Examples

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Frequently Asked Questions on LCM of 663, 414, 374

1. What is the LCM of 663, 414, 374?

Answer: LCM of 663, 414, 374 is 1006434.

2. What are the Factors of 1006434?

Answer: Factors of 1006434 are . There are integers that are factors of 1006434

3. How to Find the LCM of 663, 414, 374 ?

Least Common Multiple of 663, 414, 374.

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(663, 414, 374) = 2 x 3 x 3 x 11 x 13 x 17 x 23 = 1006434.