LCM of 732, 270, 506, 697, 947
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 732, 270, 506, 697, 947 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 732, 270, 506, 697, 947. So, keep reading to learn more.
Given numbers are 732,270,506,697,947
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 732,270,506,697,947 is 5500812895380.
Find LCM of 732,270,506,697,947 with Prime Factorization
| 2 | 732, 270, 506, 697, 947 |
| 3 | 366, 135, 253, 697, 947 |
| 122, 45, 253, 697, 947 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 122 x 45 x 253 x 697 x 947 = 5500812895380
Therefore, the lowest common multiple of 732,270,506,697,947 is 5500812895380.
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.
732 x 270 x 506 x 697 x 947 = 66009754744560
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.
732 : 1, 2, 3, 4, 6, 12, 61, 122, 183, 244, 366, 732
270 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270
506 : 1, 2, 11, 22, 23, 46, 253, 506
697 : 1, 17, 41, 697
947 : 1, 947
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 732,270,506,697,947, is 1.
Now, the common factors can be found like this.
732:2x 2x 3x 61
270:2x 3x 3x 3x 5
506:2x 11x 23
697:17x 41
947:947
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 3 = 12
Therefore, the value for common factors is 12.
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 = 66009754744560/(1x12)
LCM = 66009754744560/12
LCM = 5500812895380
Thus, we can understand that the LCM of 732,270,506,697,947 is 5500812895380.
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FAQs on LCM of 732, 270, 506, 697, 947
1. What is the LCM of 732, 270, 506, 697, 947?
Answer: LCM of 732, 270, 506, 697, 947 is 5500812895380.
2. How to calculate the LCM of 732, 270, 506, 697, 947?
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 732, 270, 506, 697, 947.
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}.