LCM of 358, 736, 216, 464, 553
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 358, 736, 216, 464, 553 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 358, 736, 216, 464, 553. So, keep reading to learn more.
Given numbers are 358,736,216,464,553
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 358,736,216,464,553 is 57045020256.
Find LCM of 358,736,216,464,553 with Prime Factorization
| 2 | 358, 736, 216, 464, 553 |
| 2 | 179, 368, 108, 232, 553 |
| 2 | 179, 184, 54, 116, 553 |
| 2 | 179, 92, 27, 58, 553 |
| 179, 46, 27, 29, 553 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 179 x 46 x 27 x 29 x 553 = 57045020256
Therefore, the lowest common multiple of 358,736,216,464,553 is 57045020256.
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.
358 x 736 x 216 x 464 x 553 = 14603525185536
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.
358 : 1, 2, 179, 358
736 : 1, 2, 4, 8, 16, 23, 32, 46, 92, 184, 368, 736
216 : 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216
464 : 1, 2, 4, 8, 16, 29, 58, 116, 232, 464
553 : 1, 7, 79, 553
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 358,736,216,464,553, is 1.
Now, the common factors can be found like this.
358:2x 179
736:2x 2x 2x 2x 2x 23
216:2x 2x 2x 3x 3x 3
464:2x 2x 2x 2x 29
553:7x 79
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 2x 2 = 256
Therefore, the value for common factors is 256.
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 = 14603525185536/(1x256)
LCM = 14603525185536/256
LCM = 57045020256
Thus, we can understand that the LCM of 358,736,216,464,553 is 57045020256.
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FAQs on LCM of 358, 736, 216, 464, 553
1. What is the LCM of 358, 736, 216, 464, 553?
Answer: LCM of 358, 736, 216, 464, 553 is 57045020256.
2. How to calculate the LCM of 358, 736, 216, 464, 553?
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 358, 736, 216, 464, 553.
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}.