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 495, 513, 814, 666, 334 i.e. 348680970 smallest integer divisible by all numbers.
Least common multiple (LCM) of 495, 513, 814, 666, 334 is 348680970.
LCM(495, 513, 814, 666, 334) = 348680970
Least common multiple or lowest common denominator (lcd) can be calculated in three ways
2 | 495, 513, 814, 666, 334 |
3 | 495, 513, 407, 333, 167 |
3 | 165, 171, 407, 111, 167 |
11 | 55, 57, 407, 37, 167 |
37 | 5, 57, 37, 37, 167 |
5, 57, 1, 1, 167 |
∴ So the LCM of the given numbers is 2 x 3 x 3 x 11 x 37 x 5 x 57 x 1 x 1 x 167 = 348680970
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 495,513,814,666,334 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(495,513,814,666,334) = 1
common factors(in case of two or more numbers have common factors) = 131868
GCF(495,513,814,666,334) x common factors =1 x 131868 = 131868
LCM(495,513,814,666,334) = ( 495 × 513 × 814 × 666 × 334 ) / 131868
LCM(495,513,814,666,334) = 45979862151960 / 131868
LCM(495,513,814,666,334) = 348680970
∴ Least Common Multiple of 495,513,814,666,334 is 348680970
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 495, 513, 814, 666, 334?
Answer: LCM of 495, 513, 814, 666, 334 is 348680970.
2. What are the Factors of 348680970?
Answer: Factors of 348680970 are . There are integers that are factors of 348680970
3. How to Find the LCM of 495, 513, 814, 666, 334 ?
Least Common Multiple of 495, 513, 814, 666, 334.
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(495, 513, 814, 666, 334) = 2 x 3 x 3 x 3 x 5 x 11 x 19 x 37 x 167 = 348680970.