Least Common Multiple of 990, 504, 404, 670, 214

Q: How to Find the LCM of 990, 504, 404, 670, 214 ?

Least Common Multiple of 990, 504, 404, 670, 214 = 20071192680 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(990, 504, 404, 670, 214) = 2 x 2 x 2 x 3 x 3 x 5 x 7 x 11 x 67 x 101 x 107 = 20071192680.

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 990, 504, 404, 670, 214 i.e. 20071192680 smallest integer divisible by all numbers.

Least common multiple (LCM) of 990, 504, 404, 670, 214 is 20071192680.

LCM(990, 504, 404, 670, 214) = 20071192680

LCM of 990, 504, 404, 670, 214

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

Least Common Multiple of 990, 504, 404, 670, 214 by common division method
Least Common Multiple of 990, 504, 404, 670, 214 with GCF Formula

Least Common Multiple of 990,504,404,670,214

Least Common Multiple (LCM) of 990,504,404,670,214 is 20071192680

2	990, 504, 404, 670, 214
2	495, 252, 202, 335, 107
3	495, 126, 101, 335, 107
3	165, 42, 101, 335, 107
5	55, 14, 101, 335, 107
	11, 14, 101, 67, 107

∴ So the LCM of the given numbers is 2 x 2 x 3 x 3 x 5 x 11 x 14 x 101 x 67 x 107 = 20071192680

Least Common Multiple of 990,504,404,670,214 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 990,504,404,670,214 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(990,504,404,670,214) = 2

common factors(in case of two or more numbers have common factors) = 720

GCF(990,504,404,670,214) x common factors =2 x 720 = 1440

LCM(990,504,404,670,214) = ( 990 × 504 × 404 × 670 × 214 ) / 1440

LCM(990,504,404,670,214) = 28902517459200 / 1440

LCM(990,504,404,670,214) = 20071192680

∴ Least Common Multiple of 990,504,404,670,214 is 20071192680

LCM of two or more Numbers Calculation Examples

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Frequently Asked Questions on LCM of 990, 504, 404, 670, 214

1. What is the LCM of 990, 504, 404, 670, 214?

Answer: LCM of 990, 504, 404, 670, 214 is 20071192680.

2. What are the Factors of 20071192680?

Answer: Factors of 20071192680 are . There are integers that are factors of 20071192680

3. How to Find the LCM of 990, 504, 404, 670, 214 ?

Least Common Multiple of 990, 504, 404, 670, 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(990, 504, 404, 670, 214) = 2 x 2 x 2 x 3 x 3 x 5 x 7 x 11 x 67 x 101 x 107 = 20071192680.