Find the LCM of 969, 621, 620, 579, 420 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 969, 621, 620, 579, 420. So, keep reading to learn more.
Given numbers are 969,621,620,579,420
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 969,621,620,579,420 is 168012332460.
Find LCM of 969,621,620,579,420 with Prime Factorization
2 | 969, 621, 620, 579, 420 |
2 | 969, 621, 310, 579, 210 |
3 | 969, 621, 155, 579, 105 |
5 | 323, 207, 155, 193, 35 |
323, 207, 31, 193, 7 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 323 x 207 x 31 x 193 x 7 = 168012332460
Therefore, the lowest common multiple of 969,621,620,579,420 is 168012332460.
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.
969 x 621 x 620 x 579 x 420 = 90726659528400
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.
969 : 1, 3, 17, 19, 51, 57, 323, 969
621 : 1, 3, 9, 23, 27, 69, 207, 621
620 : 1, 2, 4, 5, 10, 20, 31, 62, 124, 155, 310, 620
579 : 1, 3, 193, 579
420 : 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 969,621,620,579,420, is 1.
Now, the common factors can be found like this.
969:3x 17x 19
621:3x 3x 3x 23
620:2x 2x 5x 31
579:3x 193
420:2x 2x 3x 5x 7
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 3x 3x 5 = 540
Therefore, the value for common factors is 540.
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 = 90726659528400/(1x540)
LCM = 90726659528400/540
LCM = 168012332460
Thus, we can understand that the LCM of 969,621,620,579,420 is 168012332460.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 969, 621, 620, 579, 420?
Answer: LCM of 969, 621, 620, 579, 420 is 168012332460.
2. How to calculate the LCM of 969, 621, 620, 579, 420?
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 969, 621, 620, 579, 420.
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}.