LCM of 860, 348, 816, 456, 642
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 860, 348, 816, 456, 642 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 860, 348, 816, 456, 642. So, keep reading to learn more.
Given numbers are 860,348,816,456,642
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 860,348,816,456,642 is 10343416080.
Find LCM of 860,348,816,456,642 with Prime Factorization
| 2 | 860, 348, 816, 456, 642 |
| 2 | 430, 174, 408, 228, 321 |
| 2 | 215, 87, 204, 114, 321 |
| 3 | 215, 87, 102, 57, 321 |
| 215, 29, 34, 19, 107 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 215 x 29 x 34 x 19 x 107 = 10343416080
Therefore, the lowest common multiple of 860,348,816,456,642 is 10343416080.
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.
860 x 348 x 816 x 456 x 642 = 71493691944960
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.
860 : 1, 2, 4, 5, 10, 20, 43, 86, 172, 215, 430, 860
348 : 1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348
816 : 1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 34, 48, 51, 68, 102, 136, 204, 272, 408, 816
456 : 1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456
642 : 1, 2, 3, 6, 107, 214, 321, 642
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 860,348,816,456,642, is 2.
Now, the common factors can be found like this.
860:2x 2x 5x 43
348:2x 2x 3x 29
816:2x 2x 2x 2x 3x 17
456:2x 2x 2x 3x 19
642:2x 3x 107
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 2x 2x 2x 3x 3x 3 = 3456
Therefore, the value for common factors is 3456.
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 = 71493691944960/(2x3456)
LCM = 71493691944960/6912
LCM = 10343416080
Thus, we can understand that the LCM of 860,348,816,456,642 is 10343416080.
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FAQs on LCM of 860, 348, 816, 456, 642
1. What is the LCM of 860, 348, 816, 456, 642?
Answer: LCM of 860, 348, 816, 456, 642 is 10343416080.
2. How to calculate the LCM of 860, 348, 816, 456, 642?
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 860, 348, 816, 456, 642.
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}.