LCM of 515, 150, 108, 314, 364
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 515, 150, 108, 314, 364 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 515, 150, 108, 314, 364. So, keep reading to learn more.
Given numbers are 515,150,108,314,364
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 515,150,108,314,364 is 3973214700.
Find LCM of 515,150,108,314,364 with Prime Factorization
| 2 | 515, 150, 108, 314, 364 |
| 2 | 515, 75, 54, 157, 182 |
| 3 | 515, 75, 27, 157, 91 |
| 5 | 515, 25, 9, 157, 91 |
| 103, 5, 9, 157, 91 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 103 x 5 x 9 x 157 x 91 = 3973214700
Therefore, the lowest common multiple of 515,150,108,314,364 is 3973214700.
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.
515 x 150 x 108 x 314 x 364 = 953571528000
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.
515 : 1, 5, 103, 515
150 : 1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150
108 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108
314 : 1, 2, 157, 314
364 : 1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 515,150,108,314,364, is 1.
Now, the common factors can be found like this.
515:5x 103
150:2x 3x 5x 5
108:2x 2x 3x 3x 3
314:2x 157
364:2x 2x 7x 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 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 = 953571528000/(1x240)
LCM = 953571528000/240
LCM = 3973214700
Thus, we can understand that the LCM of 515,150,108,314,364 is 3973214700.
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FAQs on LCM of 515, 150, 108, 314, 364
1. What is the LCM of 515, 150, 108, 314, 364?
Answer: LCM of 515, 150, 108, 314, 364 is 3973214700.
2. How to calculate the LCM of 515, 150, 108, 314, 364?
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 515, 150, 108, 314, 364.
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}.