Least Common Multiple of 14, 38, 46, 570

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 14, 38, 46, 570 i.e. 91770 smallest integer divisible by all numbers.

Least common multiple (LCM) of 14, 38, 46, 570 is 91770.

LCM(14, 38, 46, 570) = 91770

LCM of 14, 38, 46, 570

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

LCM of:

Least Common Multiple of 14,38,46,570

Least Common Multiple (LCM) of 14,38,46,570 is 91770

2 14, 38, 46, 570
19 7, 19, 23, 285
7, 1, 23, 15

∴ So the LCM of the given numbers is 2 x 19 x 7 x 1 x 23 x 15 = 91770

Least Common Multiple of 14,38,46,570 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 14,38,46,570 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(14,38,46,570) = 2

common factors(in case of two or more numbers have common factors) = 76

GCF(14,38,46,570) x common factors =2 x 76 = 152

LCM(14,38,46,570) = ( 14 × 38 × 46 × 570 ) / 152

LCM(14,38,46,570) = 13949040 / 152

LCM(14,38,46,570) = 91770

∴ Least Common Multiple of 14,38,46,570 is 91770

LCM of two or more Numbers Calculation Examples

Frequently Asked Questions on LCM of 14, 38, 46, 570

1. What is the LCM of 14, 38, 46, 570?

Answer: LCM of 14, 38, 46, 570 is 91770.

2. What are the Factors of 91770?

Answer: Factors of 91770 are . There are integers that are factors of 91770

3. How to Find the LCM of 14, 38, 46, 570 ?

Least Common Multiple of 14, 38, 46, 570.

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(14, 38, 46, 570) = 2 x 3 x 5 x 7 x 19 x 23 = 91770.