Find the LCM of 732, 648, 564, 332, 451 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 732, 648, 564, 332, 451. So, keep reading to learn more.
Given numbers are 732,648,564,332,451
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 732,648,564,332,451 is 69543626328.
Find LCM of 732,648,564,332,451 with Prime Factorization
2 | 732, 648, 564, 332, 451 |
2 | 366, 324, 282, 166, 451 |
3 | 183, 162, 141, 83, 451 |
61, 54, 47, 83, 451 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 61 x 54 x 47 x 83 x 451 = 69543626328
Therefore, the lowest common multiple of 732,648,564,332,451 is 69543626328.
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.
732 x 648 x 564 x 332 x 451 = 40057128764928
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.
732 : 1, 2, 3, 4, 6, 12, 61, 122, 183, 244, 366, 732
648 : 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108, 162, 216, 324, 648
564 : 1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564
332 : 1, 2, 4, 83, 166, 332
451 : 1, 11, 41, 451
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 732,648,564,332,451, is 1.
Now, the common factors can be found like this.
732:2x 2x 3x 61
648:2x 2x 2x 3x 3x 3x 3
564:2x 2x 3x 47
332:2x 2x 83
451:11x 41
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 3 = 576
Therefore, the value for common factors is 576.
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 = 40057128764928/(1x576)
LCM = 40057128764928/576
LCM = 69543626328
Thus, we can understand that the LCM of 732,648,564,332,451 is 69543626328.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 732, 648, 564, 332, 451?
Answer: LCM of 732, 648, 564, 332, 451 is 69543626328.
2. How to calculate the LCM of 732, 648, 564, 332, 451?
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 732, 648, 564, 332, 451.
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}.