Least Common Multiple of 74, 19, 42, 513

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 74, 19, 42, 513 i.e. 265734 smallest integer divisible by all numbers.

Least common multiple (LCM) of 74, 19, 42, 513 is 265734.

LCM(74, 19, 42, 513) = 265734

LCM of 74, 19, 42, 513

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

LCM of:

Least Common Multiple of 74,19,42,513

Least Common Multiple (LCM) of 74,19,42,513 is 265734

2 74, 19, 42, 513
3 37, 19, 21, 513
19 37, 19, 7, 171
37, 1, 7, 9

∴ So the LCM of the given numbers is 2 x 3 x 19 x 37 x 1 x 7 x 9 = 265734

Least Common Multiple of 74,19,42,513 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 74,19,42,513 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(74,19,42,513) = 1

common factors(in case of two or more numbers have common factors) = 114

GCF(74,19,42,513) x common factors =1 x 114 = 114

LCM(74,19,42,513) = ( 74 × 19 × 42 × 513 ) / 114

LCM(74,19,42,513) = 30293676 / 114

LCM(74,19,42,513) = 265734

∴ Least Common Multiple of 74,19,42,513 is 265734

LCM of two or more Numbers Calculation Examples

Frequently Asked Questions on LCM of 74, 19, 42, 513

1. What is the LCM of 74, 19, 42, 513?

Answer: LCM of 74, 19, 42, 513 is 265734.

2. What are the Factors of 265734?

Answer: Factors of 265734 are . There are integers that are factors of 265734

3. How to Find the LCM of 74, 19, 42, 513 ?

Least Common Multiple of 74, 19, 42, 513.

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(74, 19, 42, 513) = 2 x 3 x 3 x 3 x 7 x 19 x 37 = 265734.