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 209, 489, 752, 576, 296 i.e. 34123687488 smallest integer divisible by all numbers.
Least common multiple (LCM) of 209, 489, 752, 576, 296 is 34123687488.
LCM(209, 489, 752, 576, 296) = 34123687488
Least common multiple or lowest common denominator (lcd) can be calculated in three ways
2 | 209, 489, 752, 576, 296 |
2 | 209, 489, 376, 288, 148 |
2 | 209, 489, 188, 144, 74 |
2 | 209, 489, 94, 72, 37 |
3 | 209, 489, 47, 36, 37 |
209, 163, 47, 12, 37 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 3 x 209 x 163 x 47 x 12 x 37 = 34123687488
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 209,489,752,576,296 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(209,489,752,576,296) = 1
common factors(in case of two or more numbers have common factors) = 384
GCF(209,489,752,576,296) x common factors =1 x 384 = 384
LCM(209,489,752,576,296) = ( 209 × 489 × 752 × 576 × 296 ) / 384
LCM(209,489,752,576,296) = 13103495995392 / 384
LCM(209,489,752,576,296) = 34123687488
∴ Least Common Multiple of 209,489,752,576,296 is 34123687488
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 209, 489, 752, 576, 296?
Answer: LCM of 209, 489, 752, 576, 296 is 34123687488.
2. What are the Factors of 34123687488?
Answer: Factors of 34123687488 are . There are integers that are factors of 34123687488
3. How to Find the LCM of 209, 489, 752, 576, 296 ?
Least Common Multiple of 209, 489, 752, 576, 296.
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(209, 489, 752, 576, 296) = 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3 x 11 x 19 x 37 x 47 x 163 = 34123687488.