LCM of 784, 275, 540, 358, 913
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 784, 275, 540, 358, 913 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, 275, 540, 358, 913. So, keep reading to learn more.
Given numbers are 784,275,540,358,913
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 784,275,540,358,913 is 86485568400.
Find LCM of 784,275,540,358,913 with Prime Factorization
| 2 | 784, 275, 540, 358, 913 |
| 2 | 392, 275, 270, 179, 913 |
| 5 | 196, 275, 135, 179, 913 |
| 11 | 196, 55, 27, 179, 913 |
| 196, 5, 27, 179, 83 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 5 x 11 x 196 x 5 x 27 x 179 x 83 = 86485568400
Therefore, the lowest common multiple of 784,275,540,358,913 is 86485568400.
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 275 x 540 x 358 x 913 = 38053650096000
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
275 : 1, 5, 11, 25, 55, 275
540 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 90, 108, 135, 180, 270, 540
358 : 1, 2, 179, 358
913 : 1, 11, 83, 913
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 784,275,540,358,913, is 1.
Now, the common factors can be found like this.
784:2x 2x 2x 2x 7x 7
275:5x 5x 11
540:2x 2x 3x 3x 3x 5
358:2x 179
913:11x 83
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 5x 11 = 440
Therefore, the value for common factors is 440.
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 = 38053650096000/(1x440)
LCM = 38053650096000/440
LCM = 86485568400
Thus, we can understand that the LCM of 784,275,540,358,913 is 86485568400.
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FAQs on LCM of 784, 275, 540, 358, 913
1. What is the LCM of 784, 275, 540, 358, 913?
Answer: LCM of 784, 275, 540, 358, 913 is 86485568400.
2. How to calculate the LCM of 784, 275, 540, 358, 913?
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, 275, 540, 358, 913.
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}.