LCM of 357, 771, 596, 612, 240
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 357, 771, 596, 612, 240 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, 771, 596, 612, 240. So, keep reading to learn more.
Given numbers are 357,771,596,612,240
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 357,771,596,612,240 is 3280944240.
Find LCM of 357,771,596,612,240 with Prime Factorization
| 2 | 357, 771, 596, 612, 240 |
| 2 | 357, 771, 298, 306, 120 |
| 3 | 357, 771, 149, 153, 60 |
| 17 | 119, 257, 149, 51, 20 |
| 7, 257, 149, 3, 20 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 17 x 7 x 257 x 149 x 3 x 20 = 3280944240
Therefore, the lowest common multiple of 357,771,596,612,240 is 3280944240.
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 771 x 596 x 612 x 240 = 24095254498560
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
771 : 1, 3, 257, 771
596 : 1, 2, 4, 149, 298, 596
612 : 1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 51, 68, 102, 153, 204, 306, 612
240 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 357,771,596,612,240, is 1.
Now, the common factors can be found like this.
357:3x 7x 17
771:3x 257
596:2x 2x 149
612:2x 2x 3x 3x 17
240:2x 2x 2x 2x 3x 5
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 3x 3x 3x 17 = 7344
Therefore, the value for common factors is 7344.
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 = 24095254498560/(1x7344)
LCM = 24095254498560/7344
LCM = 3280944240
Thus, we can understand that the LCM of 357,771,596,612,240 is 3280944240.
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FAQs on LCM of 357, 771, 596, 612, 240
1. What is the LCM of 357, 771, 596, 612, 240?
Answer: LCM of 357, 771, 596, 612, 240 is 3280944240.
2. How to calculate the LCM of 357, 771, 596, 612, 240?
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, 771, 596, 612, 240.
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}.