Find the LCM of 736, 438, 636, 584, 322 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, 438, 636, 584, 322. So, keep reading to learn more.
Given numbers are 736,438,636,584,322
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 736,438,636,584,322 is 59799264.
Find LCM of 736,438,636,584,322 with Prime Factorization
2 | 736, 438, 636, 584, 322 |
2 | 368, 219, 318, 292, 161 |
2 | 184, 219, 159, 146, 161 |
3 | 92, 219, 159, 73, 161 |
23 | 92, 73, 53, 73, 161 |
73 | 4, 73, 53, 73, 7 |
4, 1, 53, 1, 7 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 23 x 73 x 4 x 1 x 53 x 1 x 7 = 59799264
Therefore, the lowest common multiple of 736,438,636,584,322 is 59799264.
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 438 x 636 x 584 x 322 = 38554738274304
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
438 : 1, 2, 3, 6, 73, 146, 219, 438
636 : 1, 2, 3, 4, 6, 12, 53, 106, 159, 212, 318, 636
584 : 1, 2, 4, 8, 73, 146, 292, 584
322 : 1, 2, 7, 14, 23, 46, 161, 322
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 736,438,636,584,322, is 2.
Now, the common factors can be found like this.
736:2x 2x 2x 2x 2x 23
438:2x 3x 73
636:2x 2x 3x 53
584:2x 2x 2x 73
322:2x 7x 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 2x 2x 2x 3x 23x 73 = 322368
Therefore, the value for common factors is 322368.
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 = 38554738274304/(2x322368)
LCM = 38554738274304/644736
LCM = 59799264
Thus, we can understand that the LCM of 736,438,636,584,322 is 59799264.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 736, 438, 636, 584, 322?
Answer: LCM of 736, 438, 636, 584, 322 is 59799264.
2. How to calculate the LCM of 736, 438, 636, 584, 322?
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, 438, 636, 584, 322.
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}.