LCM of 399, 418, 762, 578, 400
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 399, 418, 762, 578, 400 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 399, 418, 762, 578, 400. So, keep reading to learn more.
Given numbers are 399,418,762,578,400
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 399,418,762,578,400 is 64435786800.
Find LCM of 399,418,762,578,400 with Prime Factorization
| 2 | 399, 418, 762, 578, 400 |
| 3 | 399, 209, 381, 289, 200 |
| 19 | 133, 209, 127, 289, 200 |
| 7, 11, 127, 289, 200 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 19 x 7 x 11 x 127 x 289 x 200 = 64435786800
Therefore, the lowest common multiple of 399,418,762,578,400 is 64435786800.
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.
399 x 418 x 762 x 578 x 400 = 29382718780800
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.
399 : 1, 3, 7, 19, 21, 57, 133, 399
418 : 1, 2, 11, 19, 22, 38, 209, 418
762 : 1, 2, 3, 6, 127, 254, 381, 762
578 : 1, 2, 17, 34, 289, 578
400 : 1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 399,418,762,578,400, is 1.
Now, the common factors can be found like this.
399:3x 7x 19
418:2x 11x 19
762:2x 3x 127
578:2x 17x 17
400:2x 2x 2x 2x 5x 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 3x 19 = 456
Therefore, the value for common factors is 456.
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 = 29382718780800/(1x456)
LCM = 29382718780800/456
LCM = 64435786800
Thus, we can understand that the LCM of 399,418,762,578,400 is 64435786800.
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FAQs on LCM of 399, 418, 762, 578, 400
1. What is the LCM of 399, 418, 762, 578, 400?
Answer: LCM of 399, 418, 762, 578, 400 is 64435786800.
2. How to calculate the LCM of 399, 418, 762, 578, 400?
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 399, 418, 762, 578, 400.
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}.