LCM of 732, 509, 584, 671, 770
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 732, 509, 584, 671, 770 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, 509, 584, 671, 770. So, keep reading to learn more.
Given numbers are 732,509,584,671,770
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 732,509,584,671,770 is 20943171480.
Find LCM of 732,509,584,671,770 with Prime Factorization
| 2 | 732, 509, 584, 671, 770 |
| 2 | 366, 509, 292, 671, 385 |
| 11 | 183, 509, 146, 671, 385 |
| 61 | 183, 509, 146, 61, 35 |
| 3, 509, 146, 1, 35 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 11 x 61 x 3 x 509 x 146 x 1 x 35 = 20943171480
Therefore, the lowest common multiple of 732,509,584,671,770 is 20943171480.
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 509 x 584 x 671 x 770 = 112422944504640
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
509 : 1, 509
584 : 1, 2, 4, 8, 73, 146, 292, 584
671 : 1, 11, 61, 671
770 : 1, 2, 5, 7, 10, 11, 14, 22, 35, 55, 70, 77, 110, 154, 385, 770
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 732,509,584,671,770, is 1.
Now, the common factors can be found like this.
732:2x 2x 3x 61
509:509
584:2x 2x 2x 73
671:11x 61
770:2x 5x 7x 11
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 11x 61 = 5368
Therefore, the value for common factors is 5368.
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 = 112422944504640/(1x5368)
LCM = 112422944504640/5368
LCM = 20943171480
Thus, we can understand that the LCM of 732,509,584,671,770 is 20943171480.
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FAQs on LCM of 732, 509, 584, 671, 770
1. What is the LCM of 732, 509, 584, 671, 770?
Answer: LCM of 732, 509, 584, 671, 770 is 20943171480.
2. How to calculate the LCM of 732, 509, 584, 671, 770?
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, 509, 584, 671, 770.
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}.