Find the LCM of 642, 572, 550, 632 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 642, 572, 550, 632. So, keep reading to learn more.
Given numbers are 642,572,550,632
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 642,572,550,632 is 725267400.
Find LCM of 642,572,550,632 with Prime Factorization
2 | 642, 572, 550, 632 |
2 | 321, 286, 275, 316 |
11 | 321, 143, 275, 158 |
321, 13, 25, 158 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 11 x 321 x 13 x 25 x 158 = 725267400
Therefore, the lowest common multiple of 642,572,550,632 is 725267400.
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.
642 x 572 x 550 x 632 = 127647062400
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.
642 : 1, 2, 3, 6, 107, 214, 321, 642
572 : 1, 2, 4, 11, 13, 22, 26, 44, 52, 143, 286, 572
550 : 1, 2, 5, 10, 11, 22, 25, 50, 55, 110, 275, 550
632 : 1, 2, 4, 8, 79, 158, 316, 632
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 642,572,550,632, is 2.
Now, the common factors can be found like this.
642:2x 3x 107
572:2x 2x 11x 13
550:2x 5x 5x 11
632:2x 2x 2x 79
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 11 = 88
Therefore, the value for common factors is 88.
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 = 127647062400/(2x88)
LCM = 127647062400/176
LCM = 725267400
Thus, we can understand that the LCM of 642,572,550,632 is 725267400.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 642, 572, 550, 632?
Answer: LCM of 642, 572, 550, 632 is 725267400.
2. How to calculate the LCM of 642, 572, 550, 632?
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 642, 572, 550, 632.
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}.