LCM of 879, 400, 552, 860, 856
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 879, 400, 552, 860, 856 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 879, 400, 552, 860, 856. So, keep reading to learn more.
Given numbers are 879,400,552,860,856
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 879,400,552,860,856 is 37207366800.
Find LCM of 879,400,552,860,856 with Prime Factorization
| 2 | 879, 400, 552, 860, 856 |
| 2 | 879, 200, 276, 430, 428 |
| 2 | 879, 100, 138, 215, 214 |
| 3 | 879, 50, 69, 215, 107 |
| 5 | 293, 50, 23, 215, 107 |
| 293, 10, 23, 43, 107 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 5 x 293 x 10 x 23 x 43 x 107 = 37207366800
Therefore, the lowest common multiple of 879,400,552,860,856 is 37207366800.
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.
879 x 400 x 552 x 860 x 856 = 142876288512000
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.
879 : 1, 3, 293, 879
400 : 1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400
552 : 1, 2, 3, 4, 6, 8, 12, 23, 24, 46, 69, 92, 138, 184, 276, 552
860 : 1, 2, 4, 5, 10, 20, 43, 86, 172, 215, 430, 860
856 : 1, 2, 4, 8, 107, 214, 428, 856
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 879,400,552,860,856, is 1.
Now, the common factors can be found like this.
879:3x 293
400:2x 2x 2x 2x 5x 5
552:2x 2x 2x 3x 23
860:2x 2x 5x 43
856:2x 2x 2x 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 2x 3x 5 = 3840
Therefore, the value for common factors is 3840.
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 = 142876288512000/(1x3840)
LCM = 142876288512000/3840
LCM = 37207366800
Thus, we can understand that the LCM of 879,400,552,860,856 is 37207366800.
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FAQs on LCM of 879, 400, 552, 860, 856
1. What is the LCM of 879, 400, 552, 860, 856?
Answer: LCM of 879, 400, 552, 860, 856 is 37207366800.
2. How to calculate the LCM of 879, 400, 552, 860, 856?
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 879, 400, 552, 860, 856.
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}.