LCM of 667, 956, 507, 600, 500
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 667, 956, 507, 600, 500 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 667, 956, 507, 600, 500. So, keep reading to learn more.
Given numbers are 667,956,507,600,500
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 667,956,507,600,500 is 80822391000.
Find LCM of 667,956,507,600,500 with Prime Factorization
| 2 | 667, 956, 507, 600, 500 |
| 2 | 667, 478, 507, 300, 250 |
| 3 | 667, 239, 507, 150, 125 |
| 5 | 667, 239, 169, 50, 125 |
| 5 | 667, 239, 169, 10, 25 |
| 667, 239, 169, 2, 5 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 5 x 667 x 239 x 169 x 2 x 5 = 80822391000
Therefore, the lowest common multiple of 667,956,507,600,500 is 80822391000.
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.
667 x 956 x 507 x 600 x 500 = 96986869200000
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.
667 : 1, 23, 29, 667
956 : 1, 2, 4, 239, 478, 956
507 : 1, 3, 13, 39, 169, 507
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
500 : 1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 250, 500
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 667,956,507,600,500, is 1.
Now, the common factors can be found like this.
667:23x 29
956:2x 2x 239
507:3x 13x 13
600:2x 2x 2x 3x 5x 5
500:2x 2x 5x 5x 5
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 5x 5 = 1200
Therefore, the value for common factors is 1200.
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 = 96986869200000/(1x1200)
LCM = 96986869200000/1200
LCM = 80822391000
Thus, we can understand that the LCM of 667,956,507,600,500 is 80822391000.
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FAQs on LCM of 667, 956, 507, 600, 500
1. What is the LCM of 667, 956, 507, 600, 500?
Answer: LCM of 667, 956, 507, 600, 500 is 80822391000.
2. How to calculate the LCM of 667, 956, 507, 600, 500?
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 667, 956, 507, 600, 500.
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}.