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
Least common multiple or lowest common denominator (lcd) can be calculated in three ways
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
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
Here are some samples of LCM of two or more Numbers calculations.
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.