LCM of 662, 758, 947, 913, 715
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 662, 758, 947, 913, 715 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 662, 758, 947, 913, 715. So, keep reading to learn more.
Given numbers are 662,758,947,913,715
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 662,758,947,913,715 is 14100396094070.
Find LCM of 662,758,947,913,715 with Prime Factorization
| 2 | 662, 758, 947, 913, 715 |
| 11 | 331, 379, 947, 913, 715 |
| 331, 379, 947, 83, 65 |
Multiply the prime numbers at the bottom and the left side.
2 x 11 x 331 x 379 x 947 x 83 x 65 = 14100396094070
Therefore, the lowest common multiple of 662,758,947,913,715 is 14100396094070.
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.
662 x 758 x 947 x 913 x 715 = 310208714069540
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.
662 : 1, 2, 331, 662
758 : 1, 2, 379, 758
947 : 1, 947
913 : 1, 11, 83, 913
715 : 1, 5, 11, 13, 55, 65, 143, 715
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 662,758,947,913,715, is 1.
Now, the common factors can be found like this.
662:2x 331
758:2x 379
947:947
913:11x 83
715:5x 11x 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 11 = 22
Therefore, the value for common factors is 22.
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 = 310208714069540/(1x22)
LCM = 310208714069540/22
LCM = 14100396094070
Thus, we can understand that the LCM of 662,758,947,913,715 is 14100396094070.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 662, 758, 947, 913, 715
1. What is the LCM of 662, 758, 947, 913, 715?
Answer: LCM of 662, 758, 947, 913, 715 is 14100396094070.
2. How to calculate the LCM of 662, 758, 947, 913, 715?
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 662, 758, 947, 913, 715.
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}.