Find the LCM of 465, 703, 703, 478, 553 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 465, 703, 703, 478, 553. So, keep reading to learn more.
Given numbers are 465,703,703,478,553
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 465,703,703,478,553 is 86409462930.
Find LCM of 465,703,703,478,553 with Prime Factorization
19 | 465, 703, 703, 478, 553 |
37 | 465, 37, 37, 478, 553 |
465, 1, 1, 478, 553 |
Multiply the prime numbers at the bottom and the left side.
19 x 37 x 465 x 1 x 1 x 478 x 553 = 86409462930
Therefore, the lowest common multiple of 465,703,703,478,553 is 86409462930.
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.
465 x 703 x 703 x 478 x 553 = 60745852439790
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.
465 : 1, 3, 5, 15, 31, 93, 155, 465
703 : 1, 19, 37, 703
703 : 1, 19, 37, 703
478 : 1, 2, 239, 478
553 : 1, 7, 79, 553
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 465,703,703,478,553, is 1.
Now, the common factors can be found like this.
465:3x 5x 31
703:19x 37
703:19x 37
478:2x 239
553:7x 79
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
19x 37 = 703
Therefore, the value for common factors is 703.
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 = 60745852439790/(1x703)
LCM = 60745852439790/703
LCM = 86409462930
Thus, we can understand that the LCM of 465,703,703,478,553 is 86409462930.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 465, 703, 703, 478, 553?
Answer: LCM of 465, 703, 703, 478, 553 is 86409462930.
2. How to calculate the LCM of 465, 703, 703, 478, 553?
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 465, 703, 703, 478, 553.
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}.