Least Common Multiple of 55, 345, 552

Q: How to Find the LCM of 55, 345, 552 ?

Least Common Multiple of 55, 345, 552 = 30360 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(55, 345, 552) = 2 x 2 x 2 x 3 x 5 x 11 x 23 = 30360.

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 55, 345, 552 i.e. 30360 smallest integer divisible by all numbers.

Least common multiple (LCM) of 55, 345, 552 is 30360.

LCM(55, 345, 552) = 30360

LCM of 55, 345, 552

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

Least Common Multiple of 55, 345, 552 by common division method
Least Common Multiple of 55, 345, 552 with GCF Formula

Least Common Multiple of 55,345,552

Least Common Multiple (LCM) of 55,345,552 is 30360

3	55, 345, 552
5	55, 115, 184
23	11, 23, 184
	11, 1, 8

∴ So the LCM of the given numbers is 3 x 5 x 23 x 11 x 1 x 8 = 30360

Least Common Multiple of 55,345,552 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 55,345,552 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(55,345,552) = 1

common factors(in case of two or more numbers have common factors) = 345

GCF(55,345,552) x common factors =1 x 345 = 345

LCM(55,345,552) = ( 55 × 345 × 552 ) / 345

LCM(55,345,552) = 10474200 / 345

LCM(55,345,552) = 30360

∴ Least Common Multiple of 55,345,552 is 30360

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 55, 345, 552

1. What is the LCM of 55, 345, 552?

Answer: LCM of 55, 345, 552 is 30360.

2. What are the Factors of 30360?

Answer: Factors of 30360 are . There are integers that are factors of 30360

3. How to Find the LCM of 55, 345, 552 ?

Least Common Multiple of 55, 345, 552.

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(55, 345, 552) = 2 x 2 x 2 x 3 x 5 x 11 x 23 = 30360.