Find the LCM of 690, 272, 968, 237, 920 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 690, 272, 968, 237, 920. So, keep reading to learn more.
Given numbers are 690,272,968,237,920
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 690,272,968,237,920 is 897016560.
Find LCM of 690,272,968,237,920 with Prime Factorization
2 | 690, 272, 968, 237, 920 |
2 | 345, 136, 484, 237, 460 |
2 | 345, 68, 242, 237, 230 |
3 | 345, 34, 121, 237, 115 |
5 | 115, 34, 121, 79, 115 |
23 | 23, 34, 121, 79, 23 |
1, 34, 121, 79, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 5 x 23 x 1 x 34 x 121 x 79 x 1 = 897016560
Therefore, the lowest common multiple of 690,272,968,237,920 is 897016560.
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.
690 x 272 x 968 x 237 x 920 = 39612251289600
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.
690 : 1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690
272 : 1, 2, 4, 8, 16, 17, 34, 68, 136, 272
968 : 1, 2, 4, 8, 11, 22, 44, 88, 121, 242, 484, 968
237 : 1, 3, 79, 237
920 : 1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 690,272,968,237,920, is 1.
Now, the common factors can be found like this.
690:2x 3x 5x 23
272:2x 2x 2x 2x 17
968:2x 2x 2x 11x 11
237:3x 79
920:2x 2x 2x 5x 23
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 2x 2x 3x 5x 23 = 44160
Therefore, the value for common factors is 44160.
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 = 39612251289600/(1x44160)
LCM = 39612251289600/44160
LCM = 897016560
Thus, we can understand that the LCM of 690,272,968,237,920 is 897016560.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 690, 272, 968, 237, 920?
Answer: LCM of 690, 272, 968, 237, 920 is 897016560.
2. How to calculate the LCM of 690, 272, 968, 237, 920?
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 690, 272, 968, 237, 920.
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}.