Find the LCM of 518, 663, 174, 654, 846 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 518, 663, 174, 654, 846. So, keep reading to learn more.
Given numbers are 518,663,174,654,846
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 518,663,174,654,846 is 153068877234.
Find LCM of 518,663,174,654,846 with Prime Factorization
2 | 518, 663, 174, 654, 846 |
3 | 259, 663, 87, 327, 423 |
259, 221, 29, 109, 141 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 259 x 221 x 29 x 109 x 141 = 153068877234
Therefore, the lowest common multiple of 518,663,174,654,846 is 153068877234.
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.
518 x 663 x 174 x 654 x 846 = 33062877482544
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.
518 : 1, 2, 7, 14, 37, 74, 259, 518
663 : 1, 3, 13, 17, 39, 51, 221, 663
174 : 1, 2, 3, 6, 29, 58, 87, 174
654 : 1, 2, 3, 6, 109, 218, 327, 654
846 : 1, 2, 3, 6, 9, 18, 47, 94, 141, 282, 423, 846
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 518,663,174,654,846, is 1.
Now, the common factors can be found like this.
518:2x 7x 37
663:3x 13x 17
174:2x 3x 29
654:2x 3x 109
846:2x 3x 3x 47
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 3x 3x 3 = 216
Therefore, the value for common factors is 216.
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 = 33062877482544/(1x216)
LCM = 33062877482544/216
LCM = 153068877234
Thus, we can understand that the LCM of 518,663,174,654,846 is 153068877234.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 518, 663, 174, 654, 846?
Answer: LCM of 518, 663, 174, 654, 846 is 153068877234.
2. How to calculate the LCM of 518, 663, 174, 654, 846?
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 518, 663, 174, 654, 846.
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}.