Least Common Multiple of 400, 816, 707, 217

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 400, 816, 707, 217 i.e. 447106800 smallest integer divisible by all numbers.

Least common multiple (LCM) of 400, 816, 707, 217 is 447106800.

LCM(400, 816, 707, 217) = 447106800

LCM of 400, 816, 707, 217

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

LCM of:

Least Common Multiple of 400,816,707,217

Least Common Multiple (LCM) of 400,816,707,217 is 447106800

2 400, 816, 707, 217
2 200, 408, 707, 217
2 100, 204, 707, 217
2 50, 102, 707, 217
7 25, 51, 707, 217
25, 51, 101, 31

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 7 x 25 x 51 x 101 x 31 = 447106800

Least Common Multiple of 400,816,707,217 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 400,816,707,217 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(400,816,707,217) = 1

common factors(in case of two or more numbers have common factors) = 112

GCF(400,816,707,217) x common factors =1 x 112 = 112

LCM(400,816,707,217) = ( 400 × 816 × 707 × 217 ) / 112

LCM(400,816,707,217) = 50075961600 / 112

LCM(400,816,707,217) = 447106800

∴ Least Common Multiple of 400,816,707,217 is 447106800

LCM of two or more Numbers Calculation Examples

Frequently Asked Questions on LCM of 400, 816, 707, 217

1. What is the LCM of 400, 816, 707, 217?

Answer: LCM of 400, 816, 707, 217 is 447106800.

2. What are the Factors of 447106800?

Answer: Factors of 447106800 are . There are integers that are factors of 447106800

3. How to Find the LCM of 400, 816, 707, 217 ?

Least Common Multiple of 400, 816, 707, 217.

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(400, 816, 707, 217) = 2 x 2 x 2 x 2 x 3 x 5 x 5 x 7 x 17 x 31 x 101 = 447106800.