Find the LCM of 736, 572, 529, 506 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, 572, 529, 506. So, keep reading to learn more.
Given numbers are 736,572,529,506
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 736,572,529,506 is 2420704.
Find LCM of 736,572,529,506 with Prime Factorization
2 | 736, 572, 529, 506 |
2 | 368, 286, 529, 253 |
11 | 184, 143, 529, 253 |
23 | 184, 13, 529, 23 |
8, 13, 1, 23 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 11 x 23 x 8 x 13 x 1 x 23 = 2420704
Therefore, the lowest common multiple of 736,572,529,506 is 2420704.
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 572 x 529 x 506 = 112688612608
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
572 : 1, 2, 4, 11, 13, 22, 26, 44, 52, 143, 286, 572
529 : 1, 23, 529
506 : 1, 2, 11, 22, 23, 46, 253, 506
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 736,572,529,506, is 1.
Now, the common factors can be found like this.
736:2x 2x 2x 2x 2x 23
572:2x 2x 11x 13
529:23x 23
506:2x 11x 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 11x 23x 23 = 46552
Therefore, the value for common factors is 46552.
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 = 112688612608/(1x46552)
LCM = 112688612608/46552
LCM = 2420704
Thus, we can understand that the LCM of 736,572,529,506 is 2420704.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 736, 572, 529, 506?
Answer: LCM of 736, 572, 529, 506 is 2420704.
2. How to calculate the LCM of 736, 572, 529, 506?
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, 572, 529, 506.
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}.