Least Common Multiple of 912, 380, 920

Q: How to Find the LCM of 912, 380, 920 ?

Least Common Multiple of 912, 380, 920 = 104880 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(912, 380, 920) = 2 x 2 x 2 x 2 x 3 x 5 x 19 x 23 = 104880.

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 912, 380, 920 i.e. 104880 smallest integer divisible by all numbers.

Least common multiple (LCM) of 912, 380, 920 is 104880.

LCM(912, 380, 920) = 104880

LCM of 912, 380, 920

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

Least Common Multiple of 912, 380, 920 by common division method
Least Common Multiple of 912, 380, 920 with GCF Formula

Least Common Multiple of 912,380,920

Least Common Multiple (LCM) of 912,380,920 is 104880

2	912, 380, 920
2	456, 190, 460
2	228, 95, 230
5	114, 95, 115
19	114, 19, 23
	6, 1, 23

∴ So the LCM of the given numbers is 2 x 2 x 2 x 5 x 19 x 6 x 1 x 23 = 104880

Least Common Multiple of 912,380,920 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 912,380,920 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(912,380,920) = 4

common factors(in case of two or more numbers have common factors) = 760

GCF(912,380,920) x common factors =4 x 760 = 3040

LCM(912,380,920) = ( 912 × 380 × 920 ) / 3040

LCM(912,380,920) = 318835200 / 3040

LCM(912,380,920) = 104880

∴ Least Common Multiple of 912,380,920 is 104880

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 912, 380, 920

1. What is the LCM of 912, 380, 920?

Answer: LCM of 912, 380, 920 is 104880.

2. What are the Factors of 104880?

Answer: Factors of 104880 are . There are integers that are factors of 104880

3. How to Find the LCM of 912, 380, 920 ?

Least Common Multiple of 912, 380, 920.

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(912, 380, 920) = 2 x 2 x 2 x 2 x 3 x 5 x 19 x 23 = 104880.