LCM of 319, 968, 565, 600, 468
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 319, 968, 565, 600, 468 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 319, 968, 565, 600, 468. So, keep reading to learn more.
Given numbers are 319,968,565,600,468
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 319,968,565,600,468 is 9278497800.
Find LCM of 319,968,565,600,468 with Prime Factorization
| 2 | 319, 968, 565, 600, 468 |
| 2 | 319, 484, 565, 300, 234 |
| 2 | 319, 242, 565, 150, 117 |
| 3 | 319, 121, 565, 75, 117 |
| 5 | 319, 121, 565, 25, 39 |
| 11 | 319, 121, 113, 5, 39 |
| 29, 11, 113, 5, 39 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 5 x 11 x 29 x 11 x 113 x 5 x 39 = 9278497800
Therefore, the lowest common multiple of 319,968,565,600,468 is 9278497800.
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.
319 x 968 x 565 x 600 x 468 = 48990468384000
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.
319 : 1, 11, 29, 319
968 : 1, 2, 4, 8, 11, 22, 44, 88, 121, 242, 484, 968
565 : 1, 5, 113, 565
600 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 150, 200, 300, 600
468 : 1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 319,968,565,600,468, is 1.
Now, the common factors can be found like this.
319:11x 29
968:2x 2x 2x 11x 11
565:5x 113
600:2x 2x 2x 3x 5x 5
468:2x 2x 3x 3x 13
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 5x 11 = 5280
Therefore, the value for common factors is 5280.
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 = 48990468384000/(1x5280)
LCM = 48990468384000/5280
LCM = 9278497800
Thus, we can understand that the LCM of 319,968,565,600,468 is 9278497800.
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FAQs on LCM of 319, 968, 565, 600, 468
1. What is the LCM of 319, 968, 565, 600, 468?
Answer: LCM of 319, 968, 565, 600, 468 is 9278497800.
2. How to calculate the LCM of 319, 968, 565, 600, 468?
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 319, 968, 565, 600, 468.
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}.