Find the LCM of 472, 916, 749, 472, 209 with the LCM of Two or More Numbers Calculator. Here we are teaching you two different methods through which you can calculate the LCM of 472, 916, 749, 472, 209. So, keep reading to learn more.
Given numbers are 472,916,749,472,209
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 472,916,749,472,209 is 16920203608.
Find LCM of 472,916,749,472,209 with Prime Factorization
2 | 472, 916, 749, 472, 209 |
2 | 236, 458, 749, 236, 209 |
2 | 118, 229, 749, 118, 209 |
59 | 59, 229, 749, 59, 209 |
1, 229, 749, 1, 209 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 59 x 1 x 229 x 749 x 1 x 209 = 16920203608
Therefore, the lowest common multiple of 472,916,749,472,209 is 16920203608.
LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}
Firstly, we have to find the product of all the numbers.
472 x 916 x 749 x 472 x 209 = 31945344411904
Then, let us find the GCF of these five numbers. To do so, we have to list down the factors for each number and choose the highest factor that is in all of the lists.
472 : 1, 2, 4, 8, 59, 118, 236, 472
916 : 1, 2, 4, 229, 458, 916
749 : 1, 7, 107, 749
472 : 1, 2, 4, 8, 59, 118, 236, 472
209 : 1, 11, 19, 209
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 472,916,749,472,209, is 1.
Now, the common factors can be found like this.
472:2x 2x 2x 59
916:2x 2x 229
749:7x 107
472:2x 2x 2x 59
209:11x 19
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2x 2x 2x 2x 59 = 1888
Therefore, the value for common factors is 1888.
Now that we have all the elements of the formula, we can plug them in to calculate the LCM.
LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}
LCM = 31945344411904/(1x1888)
LCM = 31945344411904/1888
LCM = 16920203608
Thus, we can understand that the LCM of 472,916,749,472,209 is 16920203608.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 472, 916, 749, 472, 209?
Answer: LCM of 472, 916, 749, 472, 209 is 16920203608.
2. How to calculate the LCM of 472, 916, 749, 472, 209?
The LCM can be found using two methods. You can either use the LCM formula or the prime factorization method to calculate the LCM of 472, 916, 749, 472, 209.
3. What is the LCM formula?
The LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}.