LCM of 650, 997, 300, 715, 113
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 650, 997, 300, 715, 113 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 650, 997, 300, 715, 113. So, keep reading to learn more.
Given numbers are 650,997,300,715,113
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 650,997,300,715,113 is 4833156900.
Find LCM of 650,997,300,715,113 with Prime Factorization
| 2 | 650, 997, 300, 715, 113 |
| 5 | 325, 997, 150, 715, 113 |
| 5 | 65, 997, 30, 143, 113 |
| 13 | 13, 997, 6, 143, 113 |
| 1, 997, 6, 11, 113 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 5 x 13 x 1 x 997 x 6 x 11 x 113 = 4833156900
Therefore, the lowest common multiple of 650,997,300,715,113 is 4833156900.
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.
650 x 997 x 300 x 715 x 113 = 15707759925000
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.
650 : 1, 2, 5, 10, 13, 25, 26, 50, 65, 130, 325, 650
997 : 1, 997
300 : 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300
715 : 1, 5, 11, 13, 55, 65, 143, 715
113 : 1, 113
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 650,997,300,715,113, is 1.
Now, the common factors can be found like this.
650:2x 5x 5x 13
997:997
300:2x 2x 3x 5x 5
715:5x 11x 13
113:113
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 5x 5x 5x 13 = 3250
Therefore, the value for common factors is 3250.
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 = 15707759925000/(1x3250)
LCM = 15707759925000/3250
LCM = 4833156900
Thus, we can understand that the LCM of 650,997,300,715,113 is 4833156900.
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FAQs on LCM of 650, 997, 300, 715, 113
1. What is the LCM of 650, 997, 300, 715, 113?
Answer: LCM of 650, 997, 300, 715, 113 is 4833156900.
2. How to calculate the LCM of 650, 997, 300, 715, 113?
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 650, 997, 300, 715, 113.
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}.