LCM of 647, 514, 901, 736, 869
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 647, 514, 901, 736, 869 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 647, 514, 901, 736, 869. So, keep reading to learn more.
Given numbers are 647,514,901,736,869
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 647,514,901,736,869 is 95820798530336.
Find LCM of 647,514,901,736,869 with Prime Factorization
| 2 | 647, 514, 901, 736, 869 |
| 647, 257, 901, 368, 869 |
Multiply the prime numbers at the bottom and the left side.
2 x 647 x 257 x 901 x 368 x 869 = 95820798530336
Therefore, the lowest common multiple of 647,514,901,736,869 is 95820798530336.
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.
647 x 514 x 901 x 736 x 869 = 191641597060672
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.
647 : 1, 647
514 : 1, 2, 257, 514
901 : 1, 17, 53, 901
736 : 1, 2, 4, 8, 16, 23, 32, 46, 92, 184, 368, 736
869 : 1, 11, 79, 869
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 647,514,901,736,869, is 1.
Now, the common factors can be found like this.
647:647
514:2x 257
901:17x 53
736:2x 2x 2x 2x 2x 23
869:11x 79
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2 = 2
Therefore, the value for common factors is 2.
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 = 191641597060672/(1x2)
LCM = 191641597060672/2
LCM = 95820798530336
Thus, we can understand that the LCM of 647,514,901,736,869 is 95820798530336.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 647, 514, 901, 736, 869
1. What is the LCM of 647, 514, 901, 736, 869?
Answer: LCM of 647, 514, 901, 736, 869 is 95820798530336.
2. How to calculate the LCM of 647, 514, 901, 736, 869?
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 647, 514, 901, 736, 869.
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}.