LCM of 221, 416, 845, 830, 630
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 221, 416, 845, 830, 630 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 221, 416, 845, 830, 630. So, keep reading to learn more.
Given numbers are 221,416,845,830,630
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 221,416,845,830,630 is 2403666720.
Find LCM of 221,416,845,830,630 with Prime Factorization
| 2 | 221, 416, 845, 830, 630 |
| 5 | 221, 208, 845, 415, 315 |
| 13 | 221, 208, 169, 83, 63 |
| 17, 16, 13, 83, 63 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 13 x 17 x 16 x 13 x 83 x 63 = 2403666720
Therefore, the lowest common multiple of 221,416,845,830,630 is 2403666720.
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.
221 x 416 x 845 x 830 x 630 = 40621967568000
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.
221 : 1, 13, 17, 221
416 : 1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 208, 416
845 : 1, 5, 13, 65, 169, 845
830 : 1, 2, 5, 10, 83, 166, 415, 830
630 : 1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 21, 30, 35, 42, 45, 63, 70, 90, 105, 126, 210, 315, 630
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 221,416,845,830,630, is 1.
Now, the common factors can be found like this.
221:13x 17
416:2x 2x 2x 2x 2x 13
845:5x 13x 13
830:2x 5x 83
630:2x 3x 3x 5x 7
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 5x 5x 13x 13 = 16900
Therefore, the value for common factors is 16900.
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 = 40621967568000/(1x16900)
LCM = 40621967568000/16900
LCM = 2403666720
Thus, we can understand that the LCM of 221,416,845,830,630 is 2403666720.
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FAQs on LCM of 221, 416, 845, 830, 630
1. What is the LCM of 221, 416, 845, 830, 630?
Answer: LCM of 221, 416, 845, 830, 630 is 2403666720.
2. How to calculate the LCM of 221, 416, 845, 830, 630?
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 221, 416, 845, 830, 630.
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}.