Find the LCM of 220, 968, 418, 929, 969 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 220, 968, 418, 929, 969. So, keep reading to learn more.
Given numbers are 220,968,418,929,969
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 220,968,418,929,969 is 4356972840.
Find LCM of 220,968,418,929,969 with Prime Factorization
2 | 220, 968, 418, 929, 969 |
2 | 110, 484, 209, 929, 969 |
11 | 55, 242, 209, 929, 969 |
19 | 5, 22, 19, 929, 969 |
5, 22, 1, 929, 51 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 11 x 19 x 5 x 22 x 1 x 929 x 51 = 4356972840
Therefore, the lowest common multiple of 220,968,418,929,969 is 4356972840.
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.
220 x 968 x 418 x 929 x 969 = 80133444473280
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.
220 : 1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220
968 : 1, 2, 4, 8, 11, 22, 44, 88, 121, 242, 484, 968
418 : 1, 2, 11, 19, 22, 38, 209, 418
929 : 1, 929
969 : 1, 3, 17, 19, 51, 57, 323, 969
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 220,968,418,929,969, is 1.
Now, the common factors can be found like this.
220:2x 2x 5x 11
968:2x 2x 2x 11x 11
418:2x 11x 19
929:929
969:3x 17x 19
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 11x 11x 19 = 18392
Therefore, the value for common factors is 18392.
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 = 80133444473280/(1x18392)
LCM = 80133444473280/18392
LCM = 4356972840
Thus, we can understand that the LCM of 220,968,418,929,969 is 4356972840.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 220, 968, 418, 929, 969?
Answer: LCM of 220, 968, 418, 929, 969 is 4356972840.
2. How to calculate the LCM of 220, 968, 418, 929, 969?
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 220, 968, 418, 929, 969.
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}.