LCM of 478, 715, 915, 99
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 478, 715, 915, 99 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 478, 715, 915, 99. So, keep reading to learn more.
Given numbers are 478,715,915,99
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 478,715,915,99 is 187631730.
Find LCM of 478,715,915,99 with Prime Factorization
| 3 | 478, 715, 915, 99 |
| 5 | 478, 715, 305, 33 |
| 11 | 478, 143, 61, 33 |
| 478, 13, 61, 3 |
Multiply the prime numbers at the bottom and the left side.
3 x 5 x 11 x 478 x 13 x 61 x 3 = 187631730
Therefore, the lowest common multiple of 478,715,915,99 is 187631730.
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.
478 x 715 x 915 x 99 = 30959235450
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.
478 : 1, 2, 239, 478
715 : 1, 5, 11, 13, 55, 65, 143, 715
915 : 1, 3, 5, 15, 61, 183, 305, 915
99 : 1, 3, 9, 11, 33, 99
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 478,715,915,99, is 1.
Now, the common factors can be found like this.
478:2x 239
715:5x 11x 13
915:3x 5x 61
99:3x 3x 11
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 5x 11 = 165
Therefore, the value for common factors is 165.
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 = 30959235450/(1x165)
LCM = 30959235450/165
LCM = 187631730
Thus, we can understand that the LCM of 478,715,915,99 is 187631730.
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FAQs on LCM of 478, 715, 915, 99
1. What is the LCM of 478, 715, 915, 99?
Answer: LCM of 478, 715, 915, 99 is 187631730.
2. How to calculate the LCM of 478, 715, 915, 99?
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 478, 715, 915, 99.
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}.