LCM of 886, 420, 386, 996, 346
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 886, 420, 386, 996, 346 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 886, 420, 386, 996, 346. So, keep reading to learn more.
Given numbers are 886,420,386,996,346
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 886,420,386,996,346 is 515625659220.
Find LCM of 886,420,386,996,346 with Prime Factorization
| 2 | 886, 420, 386, 996, 346 |
| 2 | 443, 210, 193, 498, 173 |
| 3 | 443, 105, 193, 249, 173 |
| 443, 35, 193, 83, 173 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 443 x 35 x 193 x 83 x 173 = 515625659220
Therefore, the lowest common multiple of 886,420,386,996,346 is 515625659220.
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.
886 x 420 x 386 x 996 x 346 = 49500063285120
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.
886 : 1, 2, 443, 886
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
386 : 1, 2, 193, 386
996 : 1, 2, 3, 4, 6, 12, 83, 166, 249, 332, 498, 996
346 : 1, 2, 173, 346
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 886,420,386,996,346, is 2.
Now, the common factors can be found like this.
886:2x 443
420:2x 2x 3x 5x 7
386:2x 193
996:2x 2x 3x 83
346:2x 173
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 3 = 48
Therefore, the value for common factors is 48.
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 = 49500063285120/(2x48)
LCM = 49500063285120/96
LCM = 515625659220
Thus, we can understand that the LCM of 886,420,386,996,346 is 515625659220.
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FAQs on LCM of 886, 420, 386, 996, 346
1. What is the LCM of 886, 420, 386, 996, 346?
Answer: LCM of 886, 420, 386, 996, 346 is 515625659220.
2. How to calculate the LCM of 886, 420, 386, 996, 346?
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 886, 420, 386, 996, 346.
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}.