LCM of 216, 461, 221, 612, 337
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 216, 461, 221, 612, 337 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 216, 461, 221, 612, 337. So, keep reading to learn more.
Given numbers are 216,461,221,612,337
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 216,461,221,612,337 is 7416121752.
Find LCM of 216,461,221,612,337 with Prime Factorization
| 2 | 216, 461, 221, 612, 337 |
| 2 | 108, 461, 221, 306, 337 |
| 3 | 54, 461, 221, 153, 337 |
| 3 | 18, 461, 221, 51, 337 |
| 17 | 6, 461, 221, 17, 337 |
| 6, 461, 13, 1, 337 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 17 x 6 x 461 x 13 x 1 x 337 = 7416121752
Therefore, the lowest common multiple of 216,461,221,612,337 is 7416121752.
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.
216 x 461 x 221 x 612 x 337 = 4538666512224
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.
216 : 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216
461 : 1, 461
221 : 1, 13, 17, 221
612 : 1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 51, 68, 102, 153, 204, 306, 612
337 : 1, 337
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 216,461,221,612,337, is 1.
Now, the common factors can be found like this.
216:2x 2x 2x 3x 3x 3
461:461
221:13x 17
612:2x 2x 3x 3x 17
337:337
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 3x 3x 17 = 612
Therefore, the value for common factors is 612.
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 = 4538666512224/(1x612)
LCM = 4538666512224/612
LCM = 7416121752
Thus, we can understand that the LCM of 216,461,221,612,337 is 7416121752.
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FAQs on LCM of 216, 461, 221, 612, 337
1. What is the LCM of 216, 461, 221, 612, 337?
Answer: LCM of 216, 461, 221, 612, 337 is 7416121752.
2. How to calculate the LCM of 216, 461, 221, 612, 337?
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 216, 461, 221, 612, 337.
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}.