Least Common Multiple of 996, 507, 753, 704, 810

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 996, 507, 753, 704, 810 i.e. 1003843938240 smallest integer divisible by all numbers.

Least common multiple (LCM) of 996, 507, 753, 704, 810 is 1003843938240.

LCM(996, 507, 753, 704, 810) = 1003843938240

LCM of 996, 507, 753, 704, 810

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

LCM of:

Least Common Multiple of 996,507,753,704,810

Least Common Multiple (LCM) of 996,507,753,704,810 is 1003843938240

2 996, 507, 753, 704, 810
2 498, 507, 753, 352, 405
3 249, 507, 753, 176, 405
83, 169, 251, 176, 135

∴ So the LCM of the given numbers is 2 x 2 x 3 x 83 x 169 x 251 x 176 x 135 = 1003843938240

Least Common Multiple of 996,507,753,704,810 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 996,507,753,704,810 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(996,507,753,704,810) = 1

common factors(in case of two or more numbers have common factors) = 216

GCF(996,507,753,704,810) x common factors =1 x 216 = 216

LCM(996,507,753,704,810) = ( 996 × 507 × 753 × 704 × 810 ) / 216

LCM(996,507,753,704,810) = 216830290659840 / 216

LCM(996,507,753,704,810) = 1003843938240

∴ Least Common Multiple of 996,507,753,704,810 is 1003843938240

LCM of two or more Numbers Calculation Examples

Frequently Asked Questions on LCM of 996, 507, 753, 704, 810

1. What is the LCM of 996, 507, 753, 704, 810?

Answer: LCM of 996, 507, 753, 704, 810 is 1003843938240.

2. What are the Factors of 1003843938240?

Answer: Factors of 1003843938240 are . There are integers that are factors of 1003843938240

3. How to Find the LCM of 996, 507, 753, 704, 810 ?

Least Common Multiple of 996, 507, 753, 704, 810.

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(996, 507, 753, 704, 810) = 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3 x 3 x 5 x 11 x 13 x 13 x 83 x 251 = 1003843938240.