LCM of 784, 765, 301, 442, 895
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 784, 765, 301, 442, 895 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 784, 765, 301, 442, 895. So, keep reading to learn more.
Given numbers are 784,765,301,442,895
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 784,765,301,442,895 is 60012585360.
Find LCM of 784,765,301,442,895 with Prime Factorization
| 2 | 784, 765, 301, 442, 895 |
| 5 | 392, 765, 301, 221, 895 |
| 7 | 392, 153, 301, 221, 179 |
| 17 | 56, 153, 43, 221, 179 |
| 56, 9, 43, 13, 179 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 7 x 17 x 56 x 9 x 43 x 13 x 179 = 60012585360
Therefore, the lowest common multiple of 784,765,301,442,895 is 60012585360.
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.
784 x 765 x 301 x 442 x 895 = 71414976578400
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.
784 : 1, 2, 4, 7, 8, 14, 16, 28, 49, 56, 98, 112, 196, 392, 784
765 : 1, 3, 5, 9, 15, 17, 45, 51, 85, 153, 255, 765
301 : 1, 7, 43, 301
442 : 1, 2, 13, 17, 26, 34, 221, 442
895 : 1, 5, 179, 895
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 784,765,301,442,895, is 1.
Now, the common factors can be found like this.
784:2x 2x 2x 2x 7x 7
765:3x 3x 5x 17
301:7x 43
442:2x 13x 17
895:5x 179
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 5x 7x 17 = 1190
Therefore, the value for common factors is 1190.
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 = 71414976578400/(1x1190)
LCM = 71414976578400/1190
LCM = 60012585360
Thus, we can understand that the LCM of 784,765,301,442,895 is 60012585360.
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FAQs on LCM of 784, 765, 301, 442, 895
1. What is the LCM of 784, 765, 301, 442, 895?
Answer: LCM of 784, 765, 301, 442, 895 is 60012585360.
2. How to calculate the LCM of 784, 765, 301, 442, 895?
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 784, 765, 301, 442, 895.
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}.