Least Common Multiple of 365, 384, 714

Q: How to Find the LCM of 365, 384, 714 ?

Least Common Multiple of 365, 384, 714 = 16679040 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(365, 384, 714) = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5 x 7 x 17 x 73 = 16679040.

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 365, 384, 714 i.e. 16679040 smallest integer divisible by all numbers.

Least common multiple (LCM) of 365, 384, 714 is 16679040.

LCM(365, 384, 714) = 16679040

LCM of 365, 384, 714

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

Least Common Multiple of 365, 384, 714 by common division method
Least Common Multiple of 365, 384, 714 with GCF Formula

Least Common Multiple of 365,384,714

Least Common Multiple (LCM) of 365,384,714 is 16679040

2	365, 384, 714
3	365, 192, 357
	365, 64, 119

∴ So the LCM of the given numbers is 2 x 3 x 365 x 64 x 119 = 16679040

Least Common Multiple of 365,384,714 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 365,384,714 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(365,384,714) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(365,384,714) x common factors =1 x 6 = 6

LCM(365,384,714) = ( 365 × 384 × 714 ) / 6

LCM(365,384,714) = 100074240 / 6

LCM(365,384,714) = 16679040

∴ Least Common Multiple of 365,384,714 is 16679040

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 365, 384, 714

1. What is the LCM of 365, 384, 714?

Answer: LCM of 365, 384, 714 is 16679040.

2. What are the Factors of 16679040?

Answer: Factors of 16679040 are . There are integers that are factors of 16679040

3. How to Find the LCM of 365, 384, 714 ?

Least Common Multiple of 365, 384, 714.

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(365, 384, 714) = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5 x 7 x 17 x 73 = 16679040.