Find the LCM of 637, 400, 501, 924, 680 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 637, 400, 501, 924, 680. So, keep reading to learn more.
Given numbers are 637,400,501,924,680
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 637,400,501,924,680 is 23871447600.
Find LCM of 637,400,501,924,680 with Prime Factorization
2 | 637, 400, 501, 924, 680 |
2 | 637, 200, 501, 462, 340 |
2 | 637, 100, 501, 231, 170 |
3 | 637, 50, 501, 231, 85 |
5 | 637, 50, 167, 77, 85 |
7 | 637, 10, 167, 77, 17 |
91, 10, 167, 11, 17 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 5 x 7 x 91 x 10 x 167 x 11 x 17 = 23871447600
Therefore, the lowest common multiple of 637,400,501,924,680 is 23871447600.
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.
637 x 400 x 501 x 924 x 680 = 80208063936000
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.
637 : 1, 7, 13, 49, 91, 637
400 : 1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400
501 : 1, 3, 167, 501
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
680 : 1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 637,400,501,924,680, is 1.
Now, the common factors can be found like this.
637:7x 7x 13
400:2x 2x 2x 2x 5x 5
501:3x 167
924:2x 2x 3x 7x 11
680:2x 2x 2x 5x 17
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 3x 5x 7 = 3360
Therefore, the value for common factors is 3360.
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 = 80208063936000/(1x3360)
LCM = 80208063936000/3360
LCM = 23871447600
Thus, we can understand that the LCM of 637,400,501,924,680 is 23871447600.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 637, 400, 501, 924, 680?
Answer: LCM of 637, 400, 501, 924, 680 is 23871447600.
2. How to calculate the LCM of 637, 400, 501, 924, 680?
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 637, 400, 501, 924, 680.
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}.