LCM of 362, 832, 784, 716, 498
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 362, 832, 784, 716, 498 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 362, 832, 784, 716, 498. So, keep reading to learn more.
Given numbers are 362,832,784,716,498
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 362,832,784,716,498 is 328889765568.
Find LCM of 362,832,784,716,498 with Prime Factorization
| 2 | 362, 832, 784, 716, 498 |
| 2 | 181, 416, 392, 358, 249 |
| 2 | 181, 208, 196, 179, 249 |
| 2 | 181, 104, 98, 179, 249 |
| 181, 52, 49, 179, 249 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 181 x 52 x 49 x 179 x 249 = 328889765568
Therefore, the lowest common multiple of 362,832,784,716,498 is 328889765568.
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.
362 x 832 x 784 x 716 x 498 = 84195779985408
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.
362 : 1, 2, 181, 362
832 : 1, 2, 4, 8, 13, 16, 26, 32, 52, 64, 104, 208, 416, 832
784 : 1, 2, 4, 7, 8, 14, 16, 28, 49, 56, 98, 112, 196, 392, 784
716 : 1, 2, 4, 179, 358, 716
498 : 1, 2, 3, 6, 83, 166, 249, 498
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 362,832,784,716,498, is 2.
Now, the common factors can be found like this.
362:2x 181
832:2x 2x 2x 2x 2x 2x 13
784:2x 2x 2x 2x 7x 7
716:2x 2x 179
498:2x 3x 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 2x 2x 2x 2 = 128
Therefore, the value for common factors is 128.
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 = 84195779985408/(2x128)
LCM = 84195779985408/256
LCM = 328889765568
Thus, we can understand that the LCM of 362,832,784,716,498 is 328889765568.
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FAQs on LCM of 362, 832, 784, 716, 498
1. What is the LCM of 362, 832, 784, 716, 498?
Answer: LCM of 362, 832, 784, 716, 498 is 328889765568.
2. How to calculate the LCM of 362, 832, 784, 716, 498?
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 362, 832, 784, 716, 498.
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}.