LCM of 257, 507, 889, 642, 632
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 257, 507, 889, 642, 632 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 257, 507, 889, 642, 632. So, keep reading to learn more.
Given numbers are 257,507,889,642,632
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 257,507,889,642,632 is 7833280883064.
Find LCM of 257,507,889,642,632 with Prime Factorization
| 2 | 257, 507, 889, 642, 632 |
| 3 | 257, 507, 889, 321, 316 |
| 257, 169, 889, 107, 316 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 257 x 169 x 889 x 107 x 316 = 7833280883064
Therefore, the lowest common multiple of 257,507,889,642,632 is 7833280883064.
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.
257 x 507 x 889 x 642 x 632 = 46999685298384
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.
257 : 1, 257
507 : 1, 3, 13, 39, 169, 507
889 : 1, 7, 127, 889
642 : 1, 2, 3, 6, 107, 214, 321, 642
632 : 1, 2, 4, 8, 79, 158, 316, 632
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 257,507,889,642,632, is 1.
Now, the common factors can be found like this.
257:257
507:3x 13x 13
889:7x 127
642:2x 3x 107
632:2x 2x 2x 79
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3 = 6
Therefore, the value for common factors is 6.
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 = 46999685298384/(1x6)
LCM = 46999685298384/6
LCM = 7833280883064
Thus, we can understand that the LCM of 257,507,889,642,632 is 7833280883064.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 257, 507, 889, 642, 632
1. What is the LCM of 257, 507, 889, 642, 632?
Answer: LCM of 257, 507, 889, 642, 632 is 7833280883064.
2. How to calculate the LCM of 257, 507, 889, 642, 632?
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 257, 507, 889, 642, 632.
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}.