Least Common Multiple of 90, 45, 64, 214

Q: How to Find the LCM of 90, 45, 64, 214 ?

Least Common Multiple of 90, 45, 64, 214 = 308160 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(90, 45, 64, 214) = 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3 x 5 x 107 = 308160.

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 90, 45, 64, 214 i.e. 308160 smallest integer divisible by all numbers.

Least common multiple (LCM) of 90, 45, 64, 214 is 308160.

LCM(90, 45, 64, 214) = 308160

LCM of 90, 45, 64, 214

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

Least Common Multiple of 90, 45, 64, 214 by common division method
Least Common Multiple of 90, 45, 64, 214 with GCF Formula

Least Common Multiple of 90,45,64,214

Least Common Multiple (LCM) of 90,45,64,214 is 308160

2	90, 45, 64, 214
3	45, 45, 32, 107
3	15, 15, 32, 107
5	5, 5, 32, 107
	1, 1, 32, 107

∴ So the LCM of the given numbers is 2 x 3 x 3 x 5 x 1 x 1 x 32 x 107 = 308160

Least Common Multiple of 90,45,64,214 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 90,45,64,214 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(90,45,64,214) = 1

common factors(in case of two or more numbers have common factors) = 180

GCF(90,45,64,214) x common factors =1 x 180 = 180

LCM(90,45,64,214) = ( 90 × 45 × 64 × 214 ) / 180

LCM(90,45,64,214) = 55468800 / 180

LCM(90,45,64,214) = 308160

∴ Least Common Multiple of 90,45,64,214 is 308160

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 90, 45, 64, 214

1. What is the LCM of 90, 45, 64, 214?

Answer: LCM of 90, 45, 64, 214 is 308160.

2. What are the Factors of 308160?

Answer: Factors of 308160 are . There are integers that are factors of 308160

3. How to Find the LCM of 90, 45, 64, 214 ?

Least Common Multiple of 90, 45, 64, 214.

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(90, 45, 64, 214) = 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3 x 5 x 107 = 308160.