LCM of 954, 916, 515, 300, 620
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 954, 916, 515, 300, 620 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 954, 916, 515, 300, 620. So, keep reading to learn more.
Given numbers are 954,916,515,300,620
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 954,916,515,300,620 is 34878096900.
Find LCM of 954,916,515,300,620 with Prime Factorization
| 2 | 954, 916, 515, 300, 620 |
| 2 | 477, 458, 515, 150, 310 |
| 3 | 477, 229, 515, 75, 155 |
| 5 | 159, 229, 515, 25, 155 |
| 159, 229, 103, 5, 31 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 159 x 229 x 103 x 5 x 31 = 34878096900
Therefore, the lowest common multiple of 954,916,515,300,620 is 34878096900.
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.
954 x 916 x 515 x 300 x 620 = 83707432560000
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.
954 : 1, 2, 3, 6, 9, 18, 53, 106, 159, 318, 477, 954
916 : 1, 2, 4, 229, 458, 916
515 : 1, 5, 103, 515
300 : 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300
620 : 1, 2, 4, 5, 10, 20, 31, 62, 124, 155, 310, 620
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 954,916,515,300,620, is 1.
Now, the common factors can be found like this.
954:2x 3x 3x 53
916:2x 2x 229
515:5x 103
300:2x 2x 3x 5x 5
620:2x 2x 5x 31
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 5 = 2400
Therefore, the value for common factors is 2400.
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 = 83707432560000/(1x2400)
LCM = 83707432560000/2400
LCM = 34878096900
Thus, we can understand that the LCM of 954,916,515,300,620 is 34878096900.
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FAQs on LCM of 954, 916, 515, 300, 620
1. What is the LCM of 954, 916, 515, 300, 620?
Answer: LCM of 954, 916, 515, 300, 620 is 34878096900.
2. How to calculate the LCM of 954, 916, 515, 300, 620?
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 954, 916, 515, 300, 620.
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}.