Find the LCM of 907, 708, 468, 996, 368 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 907, 708, 468, 996, 368. So, keep reading to learn more.
Given numbers are 907,708,468,996,368
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 907,708,468,996,368 is 191236625424.
Find LCM of 907,708,468,996,368 with Prime Factorization
2 | 907, 708, 468, 996, 368 |
2 | 907, 354, 234, 498, 184 |
3 | 907, 177, 117, 249, 92 |
907, 59, 39, 83, 92 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 907 x 59 x 39 x 83 x 92 = 191236625424
Therefore, the lowest common multiple of 907,708,468,996,368 is 191236625424.
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.
907 x 708 x 468 x 996 x 368 = 110152296244224
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.
907 : 1, 907
708 : 1, 2, 3, 4, 6, 12, 59, 118, 177, 236, 354, 708
468 : 1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468
996 : 1, 2, 3, 4, 6, 12, 83, 166, 249, 332, 498, 996
368 : 1, 2, 4, 8, 16, 23, 46, 92, 184, 368
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 907,708,468,996,368, is 1.
Now, the common factors can be found like this.
907:907
708:2x 2x 3x 59
468:2x 2x 3x 3x 13
996:2x 2x 3x 83
368:2x 2x 2x 2x 23
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 = 110152296244224/(1x576)
LCM = 110152296244224/576
LCM = 191236625424
Thus, we can understand that the LCM of 907,708,468,996,368 is 191236625424.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 907, 708, 468, 996, 368?
Answer: LCM of 907, 708, 468, 996, 368 is 191236625424.
2. How to calculate the LCM of 907, 708, 468, 996, 368?
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 907, 708, 468, 996, 368.
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}.