Find the LCM of 402, 952, 134, 598, 689 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 402, 952, 134, 598, 689. So, keep reading to learn more.
Given numbers are 402,952,134,598,689
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 402,952,134,598,689 is 3032355144.
Find LCM of 402,952,134,598,689 with Prime Factorization
2 | 402, 952, 134, 598, 689 |
13 | 201, 476, 67, 299, 689 |
67 | 201, 476, 67, 23, 53 |
3, 476, 1, 23, 53 |
Multiply the prime numbers at the bottom and the left side.
2 x 13 x 67 x 3 x 476 x 1 x 23 x 53 = 3032355144
Therefore, the lowest common multiple of 402,952,134,598,689 is 3032355144.
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.
402 x 952 x 134 x 598 x 689 = 21129450643392
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.
402 : 1, 2, 3, 6, 67, 134, 201, 402
952 : 1, 2, 4, 7, 8, 14, 17, 28, 34, 56, 68, 119, 136, 238, 476, 952
134 : 1, 2, 67, 134
598 : 1, 2, 13, 23, 26, 46, 299, 598
689 : 1, 13, 53, 689
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 402,952,134,598,689, is 1.
Now, the common factors can be found like this.
402:2x 3x 67
952:2x 2x 2x 7x 17
134:2x 67
598:2x 13x 23
689:13x 53
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 13x 67 = 6968
Therefore, the value for common factors is 6968.
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 = 21129450643392/(1x6968)
LCM = 21129450643392/6968
LCM = 3032355144
Thus, we can understand that the LCM of 402,952,134,598,689 is 3032355144.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 402, 952, 134, 598, 689?
Answer: LCM of 402, 952, 134, 598, 689 is 3032355144.
2. How to calculate the LCM of 402, 952, 134, 598, 689?
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 402, 952, 134, 598, 689.
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}.