Find the LCM of 762, 675, 884, 221, 910 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 762, 675, 884, 221, 910. So, keep reading to learn more.
Given numbers are 762,675,884,221,910
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 762,675,884,221,910 is 530466300.
Find LCM of 762,675,884,221,910 with Prime Factorization
2 | 762, 675, 884, 221, 910 |
3 | 381, 675, 442, 221, 455 |
5 | 127, 225, 442, 221, 455 |
13 | 127, 45, 442, 221, 91 |
17 | 127, 45, 34, 17, 7 |
127, 45, 2, 1, 7 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 13 x 17 x 127 x 45 x 2 x 1 x 7 = 530466300
Therefore, the lowest common multiple of 762,675,884,221,910 is 530466300.
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.
762 x 675 x 884 x 221 x 910 = 91441780794000
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.
762 : 1, 2, 3, 6, 127, 254, 381, 762
675 : 1, 3, 5, 9, 15, 25, 27, 45, 75, 135, 225, 675
884 : 1, 2, 4, 13, 17, 26, 34, 52, 68, 221, 442, 884
221 : 1, 13, 17, 221
910 : 1, 2, 5, 7, 10, 13, 14, 26, 35, 65, 70, 91, 130, 182, 455, 910
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 762,675,884,221,910, is 1.
Now, the common factors can be found like this.
762:2x 3x 127
675:3x 3x 3x 5x 5
884:2x 2x 13x 17
221:13x 17
910:2x 5x 7x 13
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 3x 5x 13x 13x 17 = 172380
Therefore, the value for common factors is 172380.
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 = 91441780794000/(1x172380)
LCM = 91441780794000/172380
LCM = 530466300
Thus, we can understand that the LCM of 762,675,884,221,910 is 530466300.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 762, 675, 884, 221, 910?
Answer: LCM of 762, 675, 884, 221, 910 is 530466300.
2. How to calculate the LCM of 762, 675, 884, 221, 910?
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 762, 675, 884, 221, 910.
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}.