Least Common Multiple of 715, 400, 914, 706, 343

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 715, 400, 914, 706, 343 i.e. 3165053491600 smallest integer divisible by all numbers.

Least common multiple (LCM) of 715, 400, 914, 706, 343 is 3165053491600.

LCM(715, 400, 914, 706, 343) = 3165053491600

LCM of 715, 400, 914, 706, 343

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

LCM of:

Least Common Multiple of 715,400,914,706,343

Least Common Multiple (LCM) of 715,400,914,706,343 is 3165053491600

2 715, 400, 914, 706, 343
5 715, 200, 457, 353, 343
143, 40, 457, 353, 343

∴ So the LCM of the given numbers is 2 x 5 x 143 x 40 x 457 x 353 x 343 = 3165053491600

Least Common Multiple of 715,400,914,706,343 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 715,400,914,706,343 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(715,400,914,706,343) = 1

common factors(in case of two or more numbers have common factors) = 20

GCF(715,400,914,706,343) x common factors =1 x 20 = 20

LCM(715,400,914,706,343) = ( 715 × 400 × 914 × 706 × 343 ) / 20

LCM(715,400,914,706,343) = 63301069832000 / 20

LCM(715,400,914,706,343) = 3165053491600

∴ Least Common Multiple of 715,400,914,706,343 is 3165053491600

LCM of two or more Numbers Calculation Examples

Frequently Asked Questions on LCM of 715, 400, 914, 706, 343

1. What is the LCM of 715, 400, 914, 706, 343?

Answer: LCM of 715, 400, 914, 706, 343 is 3165053491600.

2. What are the Factors of 3165053491600?

Answer: Factors of 3165053491600 are . There are integers that are factors of 3165053491600

3. How to Find the LCM of 715, 400, 914, 706, 343 ?

Least Common Multiple of 715, 400, 914, 706, 343.

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(715, 400, 914, 706, 343) = 2 x 2 x 2 x 2 x 5 x 5 x 7 x 7 x 7 x 11 x 13 x 353 x 457 = 3165053491600.