Find the LCM of 736, 899, 618, 754, 572 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 736, 899, 618, 754, 572. So, keep reading to learn more.
Given numbers are 736,899,618,754,572
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 736,899,618,754,572 is 29236947168.
Find LCM of 736,899,618,754,572 with Prime Factorization
2 | 736, 899, 618, 754, 572 |
2 | 368, 899, 309, 377, 286 |
13 | 184, 899, 309, 377, 143 |
29 | 184, 899, 309, 29, 11 |
184, 31, 309, 1, 11 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 13 x 29 x 184 x 31 x 309 x 1 x 11 = 29236947168
Therefore, the lowest common multiple of 736,899,618,754,572 is 29236947168.
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.
736 x 899 x 618 x 754 x 572 = 176357265317376
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.
736 : 1, 2, 4, 8, 16, 23, 32, 46, 92, 184, 368, 736
899 : 1, 29, 31, 899
618 : 1, 2, 3, 6, 103, 206, 309, 618
754 : 1, 2, 13, 26, 29, 58, 377, 754
572 : 1, 2, 4, 11, 13, 22, 26, 44, 52, 143, 286, 572
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 736,899,618,754,572, is 1.
Now, the common factors can be found like this.
736:2x 2x 2x 2x 2x 23
899:29x 31
618:2x 3x 103
754:2x 13x 29
572:2x 2x 11x 13
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 13x 29 = 6032
Therefore, the value for common factors is 6032.
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 = 176357265317376/(1x6032)
LCM = 176357265317376/6032
LCM = 29236947168
Thus, we can understand that the LCM of 736,899,618,754,572 is 29236947168.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 736, 899, 618, 754, 572?
Answer: LCM of 736, 899, 618, 754, 572 is 29236947168.
2. How to calculate the LCM of 736, 899, 618, 754, 572?
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 736, 899, 618, 754, 572.
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}.