Least Common Multiple of 69, 414, 496

Q: How to Find the LCM of 69, 414, 496 ?

Least Common Multiple of 69, 414, 496 = 102672 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(69, 414, 496) = 2 x 2 x 2 x 2 x 3 x 3 x 23 x 31 = 102672.

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 69, 414, 496 i.e. 102672 smallest integer divisible by all numbers.

Least common multiple (LCM) of 69, 414, 496 is 102672.

LCM(69, 414, 496) = 102672

LCM of 69, 414, 496

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

Least Common Multiple of 69, 414, 496 by common division method
Least Common Multiple of 69, 414, 496 with GCF Formula

Least Common Multiple of 69,414,496

Least Common Multiple (LCM) of 69,414,496 is 102672

2	69, 414, 496
3	69, 207, 248
23	23, 69, 248
	1, 3, 248

∴ So the LCM of the given numbers is 2 x 3 x 23 x 1 x 3 x 248 = 102672

Least Common Multiple of 69,414,496 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 69,414,496 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(69,414,496) = 1

common factors(in case of two or more numbers have common factors) = 138

GCF(69,414,496) x common factors =1 x 138 = 138

LCM(69,414,496) = ( 69 × 414 × 496 ) / 138

LCM(69,414,496) = 14168736 / 138

LCM(69,414,496) = 102672

∴ Least Common Multiple of 69,414,496 is 102672

LCM of two or more Numbers Calculation Examples

Here are some samples of LCM of two or more Numbers calculations.

Frequently Asked Questions on LCM of 69, 414, 496

1. What is the LCM of 69, 414, 496?

Answer: LCM of 69, 414, 496 is 102672.

2. What are the Factors of 102672?

Answer: Factors of 102672 are . There are integers that are factors of 102672

3. How to Find the LCM of 69, 414, 496 ?

Least Common Multiple of 69, 414, 496.

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(69, 414, 496) = 2 x 2 x 2 x 2 x 3 x 3 x 23 x 31 = 102672.