Least Common Multiple of 55, 69, 78, 552

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, 69, 78, 552 i.e. 394680 smallest integer divisible by all numbers.

Least common multiple (LCM) of 55, 69, 78, 552 is 394680.

LCM(55, 69, 78, 552) = 394680

LCM of 55, 69, 78, 552

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

LCM of:

Least Common Multiple of 55,69,78,552

Least Common Multiple (LCM) of 55,69,78,552 is 394680

2 55, 69, 78, 552
3 55, 69, 39, 276
23 55, 23, 13, 92
55, 1, 13, 4

∴ So the LCM of the given numbers is 2 x 3 x 23 x 55 x 1 x 13 x 4 = 394680

Least Common Multiple of 55,69,78,552 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 55,69,78,552 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(55,69,78,552) = 1

common factors(in case of two or more numbers have common factors) = 414

GCF(55,69,78,552) x common factors =1 x 414 = 414

LCM(55,69,78,552) = ( 55 × 69 × 78 × 552 ) / 414

LCM(55,69,78,552) = 163397520 / 414

LCM(55,69,78,552) = 394680

∴ Least Common Multiple of 55,69,78,552 is 394680

LCM of two or more Numbers Calculation Examples

Frequently Asked Questions on LCM of 55, 69, 78, 552

1. What is the LCM of 55, 69, 78, 552?

Answer: LCM of 55, 69, 78, 552 is 394680.

2. What are the Factors of 394680?

Answer: Factors of 394680 are . There are integers that are factors of 394680

3. How to Find the LCM of 55, 69, 78, 552 ?

Least Common Multiple of 55, 69, 78, 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, 69, 78, 552) = 2 x 2 x 2 x 3 x 5 x 11 x 13 x 23 = 394680.