Least Common Multiple of 748, 506, 506

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 748, 506, 506 i.e. 17204 smallest integer divisible by all numbers.

Least common multiple (LCM) of 748, 506, 506 is 17204.

LCM(748, 506, 506) = 17204

LCM of 748, 506, 506

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

LCM of:

Least Common Multiple of 748,506,506

Least Common Multiple (LCM) of 748,506,506 is 17204

2 748, 506, 506
11 374, 253, 253
23 34, 23, 23
34, 1, 1

∴ So the LCM of the given numbers is 2 x 11 x 23 x 34 x 1 x 1 = 17204

Least Common Multiple of 748,506,506 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 748,506,506 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(748,506,506) = 22

common factors(in case of two or more numbers have common factors) = 506

GCF(748,506,506) x common factors =22 x 506 = 11132

LCM(748,506,506) = ( 748 × 506 × 506 ) / 11132

LCM(748,506,506) = 191514928 / 11132

LCM(748,506,506) = 17204

∴ Least Common Multiple of 748,506,506 is 17204

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 748, 506, 506

1. What is the LCM of 748, 506, 506?

Answer: LCM of 748, 506, 506 is 17204.

2. What are the Factors of 17204?

Answer: Factors of 17204 are . There are integers that are factors of 17204

3. How to Find the LCM of 748, 506, 506 ?

Least Common Multiple of 748, 506, 506.

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(748, 506, 506) = 2 x 2 x 11 x 17 x 23 = 17204.