Least Common Multiple of 54, 51, 19, 216

Q: How to Find the LCM of 54, 51, 19, 216 ?

Least Common Multiple of 54, 51, 19, 216 = 69768 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(54, 51, 19, 216) = 2 x 2 x 2 x 3 x 3 x 3 x 17 x 19 = 69768.

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 54, 51, 19, 216 i.e. 69768 smallest integer divisible by all numbers.

Least common multiple (LCM) of 54, 51, 19, 216 is 69768.

LCM(54, 51, 19, 216) = 69768

LCM of 54, 51, 19, 216

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

Least Common Multiple of 54, 51, 19, 216 by common division method
Least Common Multiple of 54, 51, 19, 216 with GCF Formula

Least Common Multiple of 54,51,19,216

Least Common Multiple (LCM) of 54,51,19,216 is 69768

2	54, 51, 19, 216
3	27, 51, 19, 108
3	9, 17, 19, 36
3	3, 17, 19, 12
	1, 17, 19, 4

∴ So the LCM of the given numbers is 2 x 3 x 3 x 3 x 1 x 17 x 19 x 4 = 69768

Least Common Multiple of 54,51,19,216 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 54,51,19,216 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(54,51,19,216) = 1

common factors(in case of two or more numbers have common factors) = 162

GCF(54,51,19,216) x common factors =1 x 162 = 162

LCM(54,51,19,216) = ( 54 × 51 × 19 × 216 ) / 162

LCM(54,51,19,216) = 11302416 / 162

LCM(54,51,19,216) = 69768

∴ Least Common Multiple of 54,51,19,216 is 69768

LCM of two or more Numbers Calculation Examples

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Frequently Asked Questions on LCM of 54, 51, 19, 216

1. What is the LCM of 54, 51, 19, 216?

Answer: LCM of 54, 51, 19, 216 is 69768.

2. What are the Factors of 69768?

Answer: Factors of 69768 are . There are integers that are factors of 69768

3. How to Find the LCM of 54, 51, 19, 216 ?

Least Common Multiple of 54, 51, 19, 216.

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(54, 51, 19, 216) = 2 x 2 x 2 x 3 x 3 x 3 x 17 x 19 = 69768.