LCM of 436, 748, 284, 804, 765
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 436, 748, 284, 804, 765 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 436, 748, 284, 804, 765. So, keep reading to learn more.
Given numbers are 436,748,284,804,765
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 436,748,284,804,765 is 17453147580.
Find LCM of 436,748,284,804,765 with Prime Factorization
| 2 | 436, 748, 284, 804, 765 |
| 2 | 218, 374, 142, 402, 765 |
| 3 | 109, 187, 71, 201, 765 |
| 17 | 109, 187, 71, 67, 255 |
| 109, 11, 71, 67, 15 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 17 x 109 x 11 x 71 x 67 x 15 = 17453147580
Therefore, the lowest common multiple of 436,748,284,804,765 is 17453147580.
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.
436 x 748 x 284 x 804 x 765 = 56967073701120
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.
436 : 1, 2, 4, 109, 218, 436
748 : 1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748
284 : 1, 2, 4, 71, 142, 284
804 : 1, 2, 3, 4, 6, 12, 67, 134, 201, 268, 402, 804
765 : 1, 3, 5, 9, 15, 17, 45, 51, 85, 153, 255, 765
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 436,748,284,804,765, is 1.
Now, the common factors can be found like this.
436:2x 2x 109
748:2x 2x 11x 17
284:2x 2x 71
804:2x 2x 3x 67
765:3x 3x 5x 17
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 2x 2x 3x 17 = 3264
Therefore, the value for common factors is 3264.
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 = 56967073701120/(1x3264)
LCM = 56967073701120/3264
LCM = 17453147580
Thus, we can understand that the LCM of 436,748,284,804,765 is 17453147580.
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FAQs on LCM of 436, 748, 284, 804, 765
1. What is the LCM of 436, 748, 284, 804, 765?
Answer: LCM of 436, 748, 284, 804, 765 is 17453147580.
2. How to calculate the LCM of 436, 748, 284, 804, 765?
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 436, 748, 284, 804, 765.
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}.