LCM of 817, 360, 564, 616, 951
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 817, 360, 564, 616, 951 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 817, 360, 564, 616, 951. So, keep reading to learn more.
Given numbers are 817,360,564,616,951
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 817,360,564,616,951 is 337421228760.
Find LCM of 817,360,564,616,951 with Prime Factorization
| 2 | 817, 360, 564, 616, 951 |
| 2 | 817, 180, 282, 308, 951 |
| 2 | 817, 90, 141, 154, 951 |
| 3 | 817, 45, 141, 77, 951 |
| 817, 15, 47, 77, 317 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 817 x 15 x 47 x 77 x 317 = 337421228760
Therefore, the lowest common multiple of 817,360,564,616,951 is 337421228760.
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.
817 x 360 x 564 x 616 x 951 = 97177313882880
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.
817 : 1, 19, 43, 817
360 : 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360
564 : 1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564
616 : 1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 154, 308, 616
951 : 1, 3, 317, 951
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 817,360,564,616,951, is 1.
Now, the common factors can be found like this.
817:19x 43
360:2x 2x 2x 3x 3x 5
564:2x 2x 3x 47
616:2x 2x 2x 7x 11
951:3x 317
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 3x 3 = 288
Therefore, the value for common factors is 288.
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 = 97177313882880/(1x288)
LCM = 97177313882880/288
LCM = 337421228760
Thus, we can understand that the LCM of 817,360,564,616,951 is 337421228760.
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FAQs on LCM of 817, 360, 564, 616, 951
1. What is the LCM of 817, 360, 564, 616, 951?
Answer: LCM of 817, 360, 564, 616, 951 is 337421228760.
2. How to calculate the LCM of 817, 360, 564, 616, 951?
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 817, 360, 564, 616, 951.
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}.