Least Common Multiple of 968, 300, 396

Q: How to Find the LCM of 968, 300, 396 ?

Least Common Multiple of 968, 300, 396 = 217800 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(968, 300, 396) = 2 x 2 x 2 x 3 x 3 x 5 x 5 x 11 x 11 = 217800.

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 968, 300, 396 i.e. 217800 smallest integer divisible by all numbers.

Least common multiple (LCM) of 968, 300, 396 is 217800.

LCM(968, 300, 396) = 217800

LCM of 968, 300, 396

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

Least Common Multiple of 968, 300, 396 by common division method
Least Common Multiple of 968, 300, 396 with GCF Formula

Least Common Multiple of 968,300,396

Least Common Multiple (LCM) of 968,300,396 is 217800

2	968, 300, 396
2	484, 150, 198
3	242, 75, 99
11	242, 25, 33
	22, 25, 3

∴ So the LCM of the given numbers is 2 x 2 x 3 x 11 x 22 x 25 x 3 = 217800

Least Common Multiple of 968,300,396 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 968,300,396 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(968,300,396) = 4

common factors(in case of two or more numbers have common factors) = 132

GCF(968,300,396) x common factors =4 x 132 = 528

LCM(968,300,396) = ( 968 × 300 × 396 ) / 528

LCM(968,300,396) = 114998400 / 528

LCM(968,300,396) = 217800

∴ Least Common Multiple of 968,300,396 is 217800

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 968, 300, 396

1. What is the LCM of 968, 300, 396?

Answer: LCM of 968, 300, 396 is 217800.

2. What are the Factors of 217800?

Answer: Factors of 217800 are . There are integers that are factors of 217800

3. How to Find the LCM of 968, 300, 396 ?

Least Common Multiple of 968, 300, 396.

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(968, 300, 396) = 2 x 2 x 2 x 3 x 3 x 5 x 5 x 11 x 11 = 217800.