LCM of 369, 715, 951, 715, 650
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 369, 715, 951, 715, 650 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 369, 715, 951, 715, 650. So, keep reading to learn more.
Given numbers are 369,715,951,715,650
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 369,715,951,715,650 is 836356950.
Find LCM of 369,715,951,715,650 with Prime Factorization
| 3 | 369, 715, 951, 715, 650 |
| 5 | 123, 715, 317, 715, 650 |
| 11 | 123, 143, 317, 143, 130 |
| 13 | 123, 13, 317, 13, 130 |
| 123, 1, 317, 1, 10 |
Multiply the prime numbers at the bottom and the left side.
3 x 5 x 11 x 13 x 123 x 1 x 317 x 1 x 10 = 836356950
Therefore, the lowest common multiple of 369,715,951,715,650 is 836356950.
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.
369 x 715 x 951 x 715 x 650 = 116609067753750
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.
369 : 1, 3, 9, 41, 123, 369
715 : 1, 5, 11, 13, 55, 65, 143, 715
951 : 1, 3, 317, 951
715 : 1, 5, 11, 13, 55, 65, 143, 715
650 : 1, 2, 5, 10, 13, 25, 26, 50, 65, 130, 325, 650
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 369,715,951,715,650, is 1.
Now, the common factors can be found like this.
369:3x 3x 41
715:5x 11x 13
951:3x 317
715:5x 11x 13
650:2x 5x 5x 13
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 5x 11x 13x 13 = 139425
Therefore, the value for common factors is 139425.
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 = 116609067753750/(1x139425)
LCM = 116609067753750/139425
LCM = 836356950
Thus, we can understand that the LCM of 369,715,951,715,650 is 836356950.
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FAQs on LCM of 369, 715, 951, 715, 650
1. What is the LCM of 369, 715, 951, 715, 650?
Answer: LCM of 369, 715, 951, 715, 650 is 836356950.
2. How to calculate the LCM of 369, 715, 951, 715, 650?
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 369, 715, 951, 715, 650.
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}.