Least Common Multiple of 474, 1749

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 474, 1749 i.e. 276342 smallest integer divisible by all numbers.

Least common multiple (LCM) of 474, 1749 is 276342.

LCM(474, 1749) = 276342

LCM of 474, 1749

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

LCM of:

Least Common Multiple of 474,1749

Least Common Multiple (LCM) of 474,1749 is 276342

3 474, 1749
158, 583

∴ So the LCM of the given numbers is 3 x 158 x 583 = 276342

Least Common Multiple of 474,1749 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 474,1749 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(474,1749) = 3

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

GCF(474,1749) x common factors =3 x 1 = 3

LCM(474,1749) = ( 474 × 1749 ) / 3

LCM(474,1749) = 829026 / 3

LCM(474,1749) = 276342

∴ Least Common Multiple of 474,1749 is 276342

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 474, 1749

1. What is the LCM of 474, 1749?

Answer: LCM of 474, 1749 is 276342.

2. What are the Factors of 276342?

Answer: Factors of 276342 are . There are integers that are factors of 276342

3. How to Find the LCM of 474, 1749 ?

Least Common Multiple of 474, 1749.

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(474, 1749) = 2 x 3 x 11 x 53 x 79 = 276342.