Least Common Multiple of 228, 300, 945

Q: How to Find the LCM of 228, 300, 945 ?

Least Common Multiple of 228, 300, 945 = 359100 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(228, 300, 945) = 2 x 2 x 3 x 3 x 3 x 5 x 5 x 7 x 19 = 359100.

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 228, 300, 945 i.e. 359100 smallest integer divisible by all numbers.

Least common multiple (LCM) of 228, 300, 945 is 359100.

LCM(228, 300, 945) = 359100

LCM of 228, 300, 945

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

Least Common Multiple of 228, 300, 945 by common division method
Least Common Multiple of 228, 300, 945 with GCF Formula

Least Common Multiple of 228,300,945

Least Common Multiple (LCM) of 228,300,945 is 359100

2	228, 300, 945
2	114, 150, 945
3	57, 75, 945
5	19, 25, 315
	19, 5, 63

∴ So the LCM of the given numbers is 2 x 2 x 3 x 5 x 19 x 5 x 63 = 359100

Least Common Multiple of 228,300,945 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 228,300,945 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(228,300,945) = 3

common factors(in case of two or more numbers have common factors) = 60

GCF(228,300,945) x common factors =3 x 60 = 180

LCM(228,300,945) = ( 228 × 300 × 945 ) / 180

LCM(228,300,945) = 64638000 / 180

LCM(228,300,945) = 359100

∴ Least Common Multiple of 228,300,945 is 359100

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 228, 300, 945

1. What is the LCM of 228, 300, 945?

Answer: LCM of 228, 300, 945 is 359100.

2. What are the Factors of 359100?

Answer: Factors of 359100 are . There are integers that are factors of 359100

3. How to Find the LCM of 228, 300, 945 ?

Least Common Multiple of 228, 300, 945.

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(228, 300, 945) = 2 x 2 x 3 x 3 x 3 x 5 x 5 x 7 x 19 = 359100.