Least Common Multiple of 19, 19, 55, 715

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 19, 19, 55, 715 i.e. 13585 smallest integer divisible by all numbers.

Least common multiple (LCM) of 19, 19, 55, 715 is 13585.

LCM(19, 19, 55, 715) = 13585

LCM of 19, 19, 55, 715

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

LCM of:

Least Common Multiple of 19,19,55,715

Least Common Multiple (LCM) of 19,19,55,715 is 13585

5 19, 19, 55, 715
11 19, 19, 11, 143
19 19, 19, 1, 13
1, 1, 1, 13

∴ So the LCM of the given numbers is 5 x 11 x 19 x 1 x 1 x 1 x 13 = 13585

Least Common Multiple of 19,19,55,715 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 19,19,55,715 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(19,19,55,715) = 1

common factors(in case of two or more numbers have common factors) = 1045

GCF(19,19,55,715) x common factors =1 x 1045 = 1045

LCM(19,19,55,715) = ( 19 × 19 × 55 × 715 ) / 1045

LCM(19,19,55,715) = 14196325 / 1045

LCM(19,19,55,715) = 13585

∴ Least Common Multiple of 19,19,55,715 is 13585

LCM of two or more Numbers Calculation Examples

Frequently Asked Questions on LCM of 19, 19, 55, 715

1. What is the LCM of 19, 19, 55, 715?

Answer: LCM of 19, 19, 55, 715 is 13585.

2. What are the Factors of 13585?

Answer: Factors of 13585 are . There are integers that are factors of 13585

3. How to Find the LCM of 19, 19, 55, 715 ?

Least Common Multiple of 19, 19, 55, 715.

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(19, 19, 55, 715) = 5 x 11 x 13 x 19 = 13585.