LCM of 463, 901, 749, 420, 392
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 463, 901, 749, 420, 392 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 463, 901, 749, 420, 392. So, keep reading to learn more.
Given numbers are 463,901,749,420,392
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 463,901,749,420,392 is 262462273080.
Find LCM of 463,901,749,420,392 with Prime Factorization
| 2 | 463, 901, 749, 420, 392 |
| 2 | 463, 901, 749, 210, 196 |
| 7 | 463, 901, 749, 105, 98 |
| 463, 901, 107, 15, 14 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 7 x 463 x 901 x 107 x 15 x 14 = 262462273080
Therefore, the lowest common multiple of 463,901,749,420,392 is 262462273080.
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.
463 x 901 x 749 x 420 x 392 = 51442605523680
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.
463 : 1, 463
901 : 1, 17, 53, 901
749 : 1, 7, 107, 749
420 : 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420
392 : 1, 2, 4, 7, 8, 14, 28, 49, 56, 98, 196, 392
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 463,901,749,420,392, is 1.
Now, the common factors can be found like this.
463:463
901:17x 53
749:7x 107
420:2x 2x 3x 5x 7
392:2x 2x 2x 7x 7
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 7x 7 = 196
Therefore, the value for common factors is 196.
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 = 51442605523680/(1x196)
LCM = 51442605523680/196
LCM = 262462273080
Thus, we can understand that the LCM of 463,901,749,420,392 is 262462273080.
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FAQs on LCM of 463, 901, 749, 420, 392
1. What is the LCM of 463, 901, 749, 420, 392?
Answer: LCM of 463, 901, 749, 420, 392 is 262462273080.
2. How to calculate the LCM of 463, 901, 749, 420, 392?
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 463, 901, 749, 420, 392.
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}.