Least Common Multiple of 945, 812, 414, 720

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 945, 812, 414, 720 i.e. 10085040 smallest integer divisible by all numbers.

Least common multiple (LCM) of 945, 812, 414, 720 is 10085040.

LCM(945, 812, 414, 720) = 10085040

LCM of 945, 812, 414, 720

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

LCM of:

Least Common Multiple of 945,812,414,720

Least Common Multiple (LCM) of 945,812,414,720 is 10085040

2 945, 812, 414, 720
2 945, 406, 207, 360
3 945, 203, 207, 180
3 315, 203, 69, 60
5 105, 203, 23, 20
7 21, 203, 23, 4
3, 29, 23, 4

∴ So the LCM of the given numbers is 2 x 2 x 3 x 3 x 5 x 7 x 3 x 29 x 23 x 4 = 10085040

Least Common Multiple of 945,812,414,720 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 945,812,414,720 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(945,812,414,720) = 1

common factors(in case of two or more numbers have common factors) = 22680

GCF(945,812,414,720) x common factors =1 x 22680 = 22680

LCM(945,812,414,720) = ( 945 × 812 × 414 × 720 ) / 22680

LCM(945,812,414,720) = 228728707200 / 22680

LCM(945,812,414,720) = 10085040

∴ Least Common Multiple of 945,812,414,720 is 10085040

LCM of two or more Numbers Calculation Examples

Frequently Asked Questions on LCM of 945, 812, 414, 720

1. What is the LCM of 945, 812, 414, 720?

Answer: LCM of 945, 812, 414, 720 is 10085040.

2. What are the Factors of 10085040?

Answer: Factors of 10085040 are . There are integers that are factors of 10085040

3. How to Find the LCM of 945, 812, 414, 720 ?

Least Common Multiple of 945, 812, 414, 720.

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(945, 812, 414, 720) = 2 x 2 x 2 x 2 x 3 x 3 x 3 x 5 x 7 x 23 x 29 = 10085040.