Least Common Multiple of 894, 405, 745

Q: How to Find the LCM of 894, 405, 745 ?

Least Common Multiple of 894, 405, 745 = 120690 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(894, 405, 745) = 2 x 3 x 3 x 3 x 3 x 5 x 149 = 120690.

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 894, 405, 745 i.e. 120690 smallest integer divisible by all numbers.

Least common multiple (LCM) of 894, 405, 745 is 120690.

LCM(894, 405, 745) = 120690

LCM of 894, 405, 745

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

Least Common Multiple of 894, 405, 745 by common division method
Least Common Multiple of 894, 405, 745 with GCF Formula

Least Common Multiple of 894,405,745

Least Common Multiple (LCM) of 894,405,745 is 120690

3	894, 405, 745
5	298, 135, 745
149	298, 27, 149
	2, 27, 1

∴ So the LCM of the given numbers is 3 x 5 x 149 x 2 x 27 x 1 = 120690

Least Common Multiple of 894,405,745 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 894,405,745 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(894,405,745) = 1

common factors(in case of two or more numbers have common factors) = 2235

GCF(894,405,745) x common factors =1 x 2235 = 2235

LCM(894,405,745) = ( 894 × 405 × 745 ) / 2235

LCM(894,405,745) = 269742150 / 2235

LCM(894,405,745) = 120690

∴ Least Common Multiple of 894,405,745 is 120690

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 894, 405, 745

1. What is the LCM of 894, 405, 745?

Answer: LCM of 894, 405, 745 is 120690.

2. What are the Factors of 120690?

Answer: Factors of 120690 are . There are integers that are factors of 120690

3. How to Find the LCM of 894, 405, 745 ?

Least Common Multiple of 894, 405, 745.

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(894, 405, 745) = 2 x 3 x 3 x 3 x 3 x 5 x 149 = 120690.