LCM of 778, 600, 456, 415
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 778, 600, 456, 415 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 778, 600, 456, 415. So, keep reading to learn more.
Given numbers are 778,600,456,415
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 778,600,456,415 is 368071800.
Find LCM of 778,600,456,415 with Prime Factorization
| 2 | 778, 600, 456, 415 |
| 2 | 389, 300, 228, 415 |
| 2 | 389, 150, 114, 415 |
| 3 | 389, 75, 57, 415 |
| 5 | 389, 25, 19, 415 |
| 389, 5, 19, 83 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 5 x 389 x 5 x 19 x 83 = 368071800
Therefore, the lowest common multiple of 778,600,456,415 is 368071800.
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.
778 x 600 x 456 x 415 = 88337232000
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.
778 : 1, 2, 389, 778
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
456 : 1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456
415 : 1, 5, 83, 415
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 778,600,456,415, is 1.
Now, the common factors can be found like this.
778:2x 389
600:2x 2x 2x 3x 5x 5
456:2x 2x 2x 3x 19
415:5x 83
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 3x 5 = 240
Therefore, the value for common factors is 240.
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 = 88337232000/(1x240)
LCM = 88337232000/240
LCM = 368071800
Thus, we can understand that the LCM of 778,600,456,415 is 368071800.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 778, 600, 456, 415
1. What is the LCM of 778, 600, 456, 415?
Answer: LCM of 778, 600, 456, 415 is 368071800.
2. How to calculate the LCM of 778, 600, 456, 415?
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 778, 600, 456, 415.
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}.