Least Common Multiple of 438, 989, 828, 966

Q: How to Find the LCM of 438, 989, 828, 966 ?

Least Common Multiple of 438, 989, 828, 966 = 18193644 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(438, 989, 828, 966) = 2 x 2 x 3 x 3 x 7 x 23 x 43 x 73 = 18193644.

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 438, 989, 828, 966 i.e. 18193644 smallest integer divisible by all numbers.

Least common multiple (LCM) of 438, 989, 828, 966 is 18193644.

LCM(438, 989, 828, 966) = 18193644

LCM of 438, 989, 828, 966

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

Least Common Multiple of 438, 989, 828, 966 by common division method
Least Common Multiple of 438, 989, 828, 966 with GCF Formula

Least Common Multiple of 438,989,828,966

Least Common Multiple (LCM) of 438,989,828,966 is 18193644

2	438, 989, 828, 966
3	219, 989, 414, 483
23	73, 989, 138, 161
	73, 43, 6, 7

∴ So the LCM of the given numbers is 2 x 3 x 23 x 73 x 43 x 6 x 7 = 18193644

Least Common Multiple of 438,989,828,966 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 438,989,828,966 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(438,989,828,966) = 1

common factors(in case of two or more numbers have common factors) = 19044

GCF(438,989,828,966) x common factors =1 x 19044 = 19044

LCM(438,989,828,966) = ( 438 × 989 × 828 × 966 ) / 19044

LCM(438,989,828,966) = 346479756336 / 19044

LCM(438,989,828,966) = 18193644

∴ Least Common Multiple of 438,989,828,966 is 18193644

LCM of two or more Numbers Calculation Examples

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Frequently Asked Questions on LCM of 438, 989, 828, 966

1. What is the LCM of 438, 989, 828, 966?

Answer: LCM of 438, 989, 828, 966 is 18193644.

2. What are the Factors of 18193644?

Answer: Factors of 18193644 are . There are integers that are factors of 18193644

3. How to Find the LCM of 438, 989, 828, 966 ?

Least Common Multiple of 438, 989, 828, 966.

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(438, 989, 828, 966) = 2 x 2 x 3 x 3 x 7 x 23 x 43 x 73 = 18193644.