LCM of 442, 309, 931, 646, 456
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 442, 309, 931, 646, 456 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 442, 309, 931, 646, 456. So, keep reading to learn more.
Given numbers are 442,309,931,646,456
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 442,309,931,646,456 is 508616472.
Find LCM of 442,309,931,646,456 with Prime Factorization
| 2 | 442, 309, 931, 646, 456 |
| 3 | 221, 309, 931, 323, 228 |
| 17 | 221, 103, 931, 323, 76 |
| 19 | 13, 103, 931, 19, 76 |
| 13, 103, 49, 1, 4 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 17 x 19 x 13 x 103 x 49 x 1 x 4 = 508616472
Therefore, the lowest common multiple of 442,309,931,646,456 is 508616472.
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.
442 x 309 x 931 x 646 x 456 = 37456551463968
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.
442 : 1, 2, 13, 17, 26, 34, 221, 442
309 : 1, 3, 103, 309
931 : 1, 7, 19, 49, 133, 931
646 : 1, 2, 17, 19, 34, 38, 323, 646
456 : 1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 442,309,931,646,456, is 1.
Now, the common factors can be found like this.
442:2x 13x 17
309:3x 103
931:7x 7x 19
646:2x 17x 19
456:2x 2x 2x 3x 19
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 3x 17x 19x 19 = 73644
Therefore, the value for common factors is 73644.
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 = 37456551463968/(1x73644)
LCM = 37456551463968/73644
LCM = 508616472
Thus, we can understand that the LCM of 442,309,931,646,456 is 508616472.
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FAQs on LCM of 442, 309, 931, 646, 456
1. What is the LCM of 442, 309, 931, 646, 456?
Answer: LCM of 442, 309, 931, 646, 456 is 508616472.
2. How to calculate the LCM of 442, 309, 931, 646, 456?
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 442, 309, 931, 646, 456.
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}.