Find the LCM of 637, 972, 767, 288 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, 972, 767, 288. So, keep reading to learn more.
Given numbers are 637,972,767,288
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 637,972,767,288 is 292245408.
Find LCM of 637,972,767,288 with Prime Factorization
2 | 637, 972, 767, 288 |
2 | 637, 486, 767, 144 |
3 | 637, 243, 767, 72 |
3 | 637, 81, 767, 24 |
13 | 637, 27, 767, 8 |
49, 27, 59, 8 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 13 x 49 x 27 x 59 x 8 = 292245408
Therefore, the lowest common multiple of 637,972,767,288 is 292245408.
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 972 x 767 x 288 = 136770850944
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
972 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972
767 : 1, 13, 59, 767
288 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 288
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 637,972,767,288, is 1.
Now, the common factors can be found like this.
637:7x 7x 13
972:2x 2x 3x 3x 3x 3x 3
767:13x 59
288:2x 2x 2x 2x 2x 3x 3
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 13 = 468
Therefore, the value for common factors is 468.
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 = 136770850944/(1x468)
LCM = 136770850944/468
LCM = 292245408
Thus, we can understand that the LCM of 637,972,767,288 is 292245408.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 637, 972, 767, 288?
Answer: LCM of 637, 972, 767, 288 is 292245408.
2. How to calculate the LCM of 637, 972, 767, 288?
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, 972, 767, 288.
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}.