Find the LCM of 606, 468, 508, 648, 661 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 606, 468, 508, 648, 661. So, keep reading to learn more.
Given numbers are 606,468,508,648,661
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 606,468,508,648,661 is 71424122328.
Find LCM of 606,468,508,648,661 with Prime Factorization
2 | 606, 468, 508, 648, 661 |
2 | 303, 234, 254, 324, 661 |
3 | 303, 117, 127, 162, 661 |
3 | 101, 39, 127, 54, 661 |
101, 13, 127, 18, 661 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 101 x 13 x 127 x 18 x 661 = 71424122328
Therefore, the lowest common multiple of 606,468,508,648,661 is 71424122328.
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.
606 x 468 x 508 x 648 x 661 = 61710441691392
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.
606 : 1, 2, 3, 6, 101, 202, 303, 606
468 : 1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468
508 : 1, 2, 4, 127, 254, 508
648 : 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108, 162, 216, 324, 648
661 : 1, 661
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 606,468,508,648,661, is 1.
Now, the common factors can be found like this.
606:2x 3x 101
468:2x 2x 3x 3x 13
508:2x 2x 127
648:2x 2x 2x 3x 3x 3x 3
661:661
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 2x 2x 3x 3x 3 = 864
Therefore, the value for common factors is 864.
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 = 61710441691392/(1x864)
LCM = 61710441691392/864
LCM = 71424122328
Thus, we can understand that the LCM of 606,468,508,648,661 is 71424122328.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 606, 468, 508, 648, 661?
Answer: LCM of 606, 468, 508, 648, 661 is 71424122328.
2. How to calculate the LCM of 606, 468, 508, 648, 661?
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 606, 468, 508, 648, 661.
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}.