Least Common Multiple of 322, 380, 827, 390, 414

Q: How to Find the LCM of 322, 380, 827, 390, 414 ?

Least Common Multiple of 322, 380, 827, 390, 414 = 5919715620 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(322, 380, 827, 390, 414) = 2 x 2 x 3 x 3 x 5 x 7 x 13 x 19 x 23 x 827 = 5919715620.

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 322, 380, 827, 390, 414 i.e. 5919715620 smallest integer divisible by all numbers.

Least common multiple (LCM) of 322, 380, 827, 390, 414 is 5919715620.

LCM(322, 380, 827, 390, 414) = 5919715620

LCM of 322, 380, 827, 390, 414

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

Least Common Multiple of 322, 380, 827, 390, 414 by common division method
Least Common Multiple of 322, 380, 827, 390, 414 with GCF Formula

Least Common Multiple of 322,380,827,390,414

Least Common Multiple (LCM) of 322,380,827,390,414 is 5919715620

2	322, 380, 827, 390, 414
3	161, 190, 827, 195, 207
5	161, 190, 827, 65, 69
23	161, 38, 827, 13, 69
	7, 38, 827, 13, 3

∴ So the LCM of the given numbers is 2 x 3 x 5 x 23 x 7 x 38 x 827 x 13 x 3 = 5919715620

Least Common Multiple of 322,380,827,390,414 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 322,380,827,390,414 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(322,380,827,390,414) = 1

common factors(in case of two or more numbers have common factors) = 2760

GCF(322,380,827,390,414) x common factors =1 x 2760 = 2760

LCM(322,380,827,390,414) = ( 322 × 380 × 827 × 390 × 414 ) / 2760

LCM(322,380,827,390,414) = 16338415111200 / 2760

LCM(322,380,827,390,414) = 5919715620

∴ Least Common Multiple of 322,380,827,390,414 is 5919715620

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 322, 380, 827, 390, 414

1. What is the LCM of 322, 380, 827, 390, 414?

Answer: LCM of 322, 380, 827, 390, 414 is 5919715620.

2. What are the Factors of 5919715620?

Answer: Factors of 5919715620 are . There are integers that are factors of 5919715620

3. How to Find the LCM of 322, 380, 827, 390, 414 ?

Least Common Multiple of 322, 380, 827, 390, 414.

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(322, 380, 827, 390, 414) = 2 x 2 x 3 x 3 x 5 x 7 x 13 x 19 x 23 x 827 = 5919715620.