LCM of 357, 768, 598, 667
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 357, 768, 598, 667 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 357, 768, 598, 667. So, keep reading to learn more.
Given numbers are 357,768,598,667
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 357,768,598,667 is 792460032.
Find LCM of 357,768,598,667 with Prime Factorization
| 2 | 357, 768, 598, 667 |
| 3 | 357, 384, 299, 667 |
| 23 | 119, 128, 299, 667 |
| 119, 128, 13, 29 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 23 x 119 x 128 x 13 x 29 = 792460032
Therefore, the lowest common multiple of 357,768,598,667 is 792460032.
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.
357 x 768 x 598 x 667 = 109359484416
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.
357 : 1, 3, 7, 17, 21, 51, 119, 357
768 : 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 256, 384, 768
598 : 1, 2, 13, 23, 26, 46, 299, 598
667 : 1, 23, 29, 667
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 357,768,598,667, is 1.
Now, the common factors can be found like this.
357:3x 7x 17
768:2x 2x 2x 2x 2x 2x 2x 2x 3
598:2x 13x 23
667:23x 29
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 23 = 138
Therefore, the value for common factors is 138.
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 = 109359484416/(1x138)
LCM = 109359484416/138
LCM = 792460032
Thus, we can understand that the LCM of 357,768,598,667 is 792460032.
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FAQs on LCM of 357, 768, 598, 667
1. What is the LCM of 357, 768, 598, 667?
Answer: LCM of 357, 768, 598, 667 is 792460032.
2. How to calculate the LCM of 357, 768, 598, 667?
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 357, 768, 598, 667.
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}.