Least Common Multiple of 1830, 1464

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 1830, 1464 i.e. 7320 smallest integer divisible by all numbers.

Least common multiple (LCM) of 1830, 1464 is 7320.

LCM(1830, 1464) = 7320

LCM of 1830, 1464

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

LCM of:

Least Common Multiple of 1830,1464

Least Common Multiple (LCM) of 1830,1464 is 7320

2 1830, 1464
3 915, 732
61 305, 244
5, 4

∴ So the LCM of the given numbers is 2 x 3 x 61 x 5 x 4 = 7320

Least Common Multiple of 1830,1464 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 1830,1464 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(1830,1464) = 366

common factors(in case of two or more numbers have common factors) = 1

GCF(1830,1464) x common factors =366 x 1 = 366

LCM(1830,1464) = ( 1830 × 1464 ) / 366

LCM(1830,1464) = 2679120 / 366

LCM(1830,1464) = 7320

∴ Least Common Multiple of 1830,1464 is 7320

LCM of two or more Numbers Calculation Examples

Here are some samples of LCM of two or more Numbers calculations.

Frequently Asked Questions on LCM of 1830, 1464

1. What is the LCM of 1830, 1464?

Answer: LCM of 1830, 1464 is 7320.

2. What are the Factors of 7320?

Answer: Factors of 7320 are . There are integers that are factors of 7320

3. How to Find the LCM of 1830, 1464 ?

Least Common Multiple of 1830, 1464.

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(1830, 1464) = 2 x 2 x 2 x 3 x 5 x 61 = 7320.