Find the LCM of 553, 511, 506, 418, 735 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 553, 511, 506, 418, 735. So, keep reading to learn more.
Given numbers are 553,511,506,418,735
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 553,511,506,418,735 is 40751294430.
Find LCM of 553,511,506,418,735 with Prime Factorization
2 | 553, 511, 506, 418, 735 |
7 | 553, 511, 253, 209, 735 |
11 | 79, 73, 253, 209, 105 |
79, 73, 23, 19, 105 |
Multiply the prime numbers at the bottom and the left side.
2 x 7 x 11 x 79 x 73 x 23 x 19 x 105 = 40751294430
Therefore, the lowest common multiple of 553,511,506,418,735 is 40751294430.
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.
553 x 511 x 506 x 418 x 735 = 43929895395540
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.
553 : 1, 7, 79, 553
511 : 1, 7, 73, 511
506 : 1, 2, 11, 22, 23, 46, 253, 506
418 : 1, 2, 11, 19, 22, 38, 209, 418
735 : 1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 553,511,506,418,735, is 1.
Now, the common factors can be found like this.
553:7x 79
511:7x 73
506:2x 11x 23
418:2x 11x 19
735:3x 5x 7x 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 7x 7x 11 = 1078
Therefore, the value for common factors is 1078.
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 = 43929895395540/(1x1078)
LCM = 43929895395540/1078
LCM = 40751294430
Thus, we can understand that the LCM of 553,511,506,418,735 is 40751294430.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 553, 511, 506, 418, 735?
Answer: LCM of 553, 511, 506, 418, 735 is 40751294430.
2. How to calculate the LCM of 553, 511, 506, 418, 735?
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 553, 511, 506, 418, 735.
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}.