Find the LCM of 924, 411, 714, 642 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 924, 411, 714, 642. So, keep reading to learn more.
Given numbers are 924,411,714,642
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 924,411,714,642 is 230263572.
Find LCM of 924,411,714,642 with Prime Factorization
2 | 924, 411, 714, 642 |
3 | 462, 411, 357, 321 |
7 | 154, 137, 119, 107 |
22, 137, 17, 107 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 7 x 22 x 137 x 17 x 107 = 230263572
Therefore, the lowest common multiple of 924,411,714,642 is 230263572.
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.
924 x 411 x 714 x 642 = 174079260432
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.
924 : 1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924
411 : 1, 3, 137, 411
714 : 1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714
642 : 1, 2, 3, 6, 107, 214, 321, 642
3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 924,411,714,642, is 3.
Now, the common factors can be found like this.
924:2x 2x 3x 7x 11
411:3x 137
714:2x 3x 7x 17
642:2x 3x 107
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 3x 3x 7 = 252
Therefore, the value for common factors is 252.
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 = 174079260432/(3x252)
LCM = 174079260432/756
LCM = 230263572
Thus, we can understand that the LCM of 924,411,714,642 is 230263572.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 924, 411, 714, 642?
Answer: LCM of 924, 411, 714, 642 is 230263572.
2. How to calculate the LCM of 924, 411, 714, 642?
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 924, 411, 714, 642.
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}.