LCM of 357, 493, 360, 216, 644
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 357, 493, 360, 216, 644 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 357, 493, 360, 216, 644. So, keep reading to learn more.
Given numbers are 357,493,360,216,644
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 357,493,360,216,644 is 85722840.
Find LCM of 357,493,360,216,644 with Prime Factorization
| 2 | 357, 493, 360, 216, 644 |
| 2 | 357, 493, 180, 108, 322 |
| 2 | 357, 493, 90, 54, 161 |
| 3 | 357, 493, 45, 27, 161 |
| 3 | 119, 493, 15, 9, 161 |
| 7 | 119, 493, 5, 3, 161 |
| 17 | 17, 493, 5, 3, 23 |
| 1, 29, 5, 3, 23 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 3 x 7 x 17 x 1 x 29 x 5 x 3 x 23 = 85722840
Therefore, the lowest common multiple of 357,493,360,216,644 is 85722840.
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.
357 x 493 x 360 x 216 x 644 = 8813679517440
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.
357 : 1, 3, 7, 17, 21, 51, 119, 357
493 : 1, 17, 29, 493
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
216 : 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216
644 : 1, 2, 4, 7, 14, 23, 28, 46, 92, 161, 322, 644
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 357,493,360,216,644, is 1.
Now, the common factors can be found like this.
357:3x 7x 17
493:17x 29
360:2x 2x 2x 3x 3x 5
216:2x 2x 2x 3x 3x 3
644:2x 2x 7x 23
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 3x 3x 7x 17 = 102816
Therefore, the value for common factors is 102816.
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 = 8813679517440/(1x102816)
LCM = 8813679517440/102816
LCM = 85722840
Thus, we can understand that the LCM of 357,493,360,216,644 is 85722840.
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FAQs on LCM of 357, 493, 360, 216, 644
1. What is the LCM of 357, 493, 360, 216, 644?
Answer: LCM of 357, 493, 360, 216, 644 is 85722840.
2. How to calculate the LCM of 357, 493, 360, 216, 644?
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 357, 493, 360, 216, 644.
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}.