LCM of 556, 851, 572, 910, 437
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 556, 851, 572, 910, 437 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 556, 851, 572, 910, 437. So, keep reading to learn more.
Given numbers are 556,851,572,910,437
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 556,851,572,910,437 is 44994769820.
Find LCM of 556,851,572,910,437 with Prime Factorization
| 2 | 556, 851, 572, 910, 437 |
| 2 | 278, 851, 286, 455, 437 |
| 13 | 139, 851, 143, 455, 437 |
| 23 | 139, 851, 11, 35, 437 |
| 139, 37, 11, 35, 19 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 13 x 23 x 139 x 37 x 11 x 35 x 19 = 44994769820
Therefore, the lowest common multiple of 556,851,572,910,437 is 44994769820.
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.
556 x 851 x 572 x 910 x 437 = 107627489409440
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.
556 : 1, 2, 4, 139, 278, 556
851 : 1, 23, 37, 851
572 : 1, 2, 4, 11, 13, 22, 26, 44, 52, 143, 286, 572
910 : 1, 2, 5, 7, 10, 13, 14, 26, 35, 65, 70, 91, 130, 182, 455, 910
437 : 1, 19, 23, 437
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 556,851,572,910,437, is 1.
Now, the common factors can be found like this.
556:2x 2x 139
851:23x 37
572:2x 2x 11x 13
910:2x 5x 7x 13
437:19x 23
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 13x 23 = 2392
Therefore, the value for common factors is 2392.
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 = 107627489409440/(1x2392)
LCM = 107627489409440/2392
LCM = 44994769820
Thus, we can understand that the LCM of 556,851,572,910,437 is 44994769820.
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FAQs on LCM of 556, 851, 572, 910, 437
1. What is the LCM of 556, 851, 572, 910, 437?
Answer: LCM of 556, 851, 572, 910, 437 is 44994769820.
2. How to calculate the LCM of 556, 851, 572, 910, 437?
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 556, 851, 572, 910, 437.
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}.