LCM of 456, 937, 578, 444, 997
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 456, 937, 578, 444, 997 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 456, 937, 578, 444, 997. So, keep reading to learn more.
Given numbers are 456,937,578,444,997
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 456,937,578,444,997 is 4555113037512.
Find LCM of 456,937,578,444,997 with Prime Factorization
| 2 | 456, 937, 578, 444, 997 |
| 2 | 228, 937, 289, 222, 997 |
| 3 | 114, 937, 289, 111, 997 |
| 38, 937, 289, 37, 997 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 38 x 937 x 289 x 37 x 997 = 4555113037512
Therefore, the lowest common multiple of 456,937,578,444,997 is 4555113037512.
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.
456 x 937 x 578 x 444 x 997 = 109322712900288
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.
456 : 1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456
937 : 1, 937
578 : 1, 2, 17, 34, 289, 578
444 : 1, 2, 3, 4, 6, 12, 37, 74, 111, 148, 222, 444
997 : 1, 997
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 456,937,578,444,997, is 1.
Now, the common factors can be found like this.
456:2x 2x 2x 3x 19
937:937
578:2x 17x 17
444:2x 2x 3x 37
997:997
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 3 = 24
Therefore, the value for common factors is 24.
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 = 109322712900288/(1x24)
LCM = 109322712900288/24
LCM = 4555113037512
Thus, we can understand that the LCM of 456,937,578,444,997 is 4555113037512.
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FAQs on LCM of 456, 937, 578, 444, 997
1. What is the LCM of 456, 937, 578, 444, 997?
Answer: LCM of 456, 937, 578, 444, 997 is 4555113037512.
2. How to calculate the LCM of 456, 937, 578, 444, 997?
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 456, 937, 578, 444, 997.
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}.