Least Common Multiple of 13, 75, 30, 998

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 13, 75, 30, 998 i.e. 973050 smallest integer divisible by all numbers.

Least common multiple (LCM) of 13, 75, 30, 998 is 973050.

LCM(13, 75, 30, 998) = 973050

LCM of 13, 75, 30, 998

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

LCM of:

Least Common Multiple of 13,75,30,998

Least Common Multiple (LCM) of 13,75,30,998 is 973050

2 13, 75, 30, 998
3 13, 75, 15, 499
5 13, 25, 5, 499
13, 1, 5, 499

∴ So the LCM of the given numbers is 2 x 3 x 5 x 13 x 1 x 5 x 499 = 973050

Least Common Multiple of 13,75,30,998 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 13,75,30,998 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(13,75,30,998) = 1

common factors(in case of two or more numbers have common factors) = 30

GCF(13,75,30,998) x common factors =1 x 30 = 30

LCM(13,75,30,998) = ( 13 × 75 × 30 × 998 ) / 30

LCM(13,75,30,998) = 29191500 / 30

LCM(13,75,30,998) = 973050

∴ Least Common Multiple of 13,75,30,998 is 973050

LCM of two or more Numbers Calculation Examples

Frequently Asked Questions on LCM of 13, 75, 30, 998

1. What is the LCM of 13, 75, 30, 998?

Answer: LCM of 13, 75, 30, 998 is 973050.

2. What are the Factors of 973050?

Answer: Factors of 973050 are . There are integers that are factors of 973050

3. How to Find the LCM of 13, 75, 30, 998 ?

Least Common Multiple of 13, 75, 30, 998.

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(13, 75, 30, 998) = 2 x 3 x 5 x 5 x 13 x 499 = 973050.