Least Common Multiple of 19, 85, 37, 370

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, 85, 37, 370 i.e. 119510 smallest integer divisible by all numbers.

Least common multiple (LCM) of 19, 85, 37, 370 is 119510.

LCM(19, 85, 37, 370) = 119510

LCM of 19, 85, 37, 370

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

LCM of:

Least Common Multiple of 19,85,37,370

Least Common Multiple (LCM) of 19,85,37,370 is 119510

5 19, 85, 37, 370
37 19, 17, 37, 74
19, 17, 1, 2

∴ So the LCM of the given numbers is 5 x 37 x 19 x 17 x 1 x 2 = 119510

Least Common Multiple of 19,85,37,370 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 19,85,37,370 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(19,85,37,370) = 1

common factors(in case of two or more numbers have common factors) = 185

GCF(19,85,37,370) x common factors =1 x 185 = 185

LCM(19,85,37,370) = ( 19 × 85 × 37 × 370 ) / 185

LCM(19,85,37,370) = 22109350 / 185

LCM(19,85,37,370) = 119510

∴ Least Common Multiple of 19,85,37,370 is 119510

LCM of two or more Numbers Calculation Examples

Frequently Asked Questions on LCM of 19, 85, 37, 370

1. What is the LCM of 19, 85, 37, 370?

Answer: LCM of 19, 85, 37, 370 is 119510.

2. What are the Factors of 119510?

Answer: Factors of 119510 are . There are integers that are factors of 119510

3. How to Find the LCM of 19, 85, 37, 370 ?

Least Common Multiple of 19, 85, 37, 370.

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, 85, 37, 370) = 2 x 5 x 17 x 19 x 37 = 119510.