Find the LCM of 708, 697, 328, 952, 119 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 708, 697, 328, 952, 119. So, keep reading to learn more.
Given numbers are 708,697,328,952,119
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 708,697,328,952,119 is 6908664.
Find LCM of 708,697,328,952,119 with Prime Factorization
2 | 708, 697, 328, 952, 119 |
2 | 354, 697, 164, 476, 119 |
2 | 177, 697, 82, 238, 119 |
7 | 177, 697, 41, 119, 119 |
17 | 177, 697, 41, 17, 17 |
41 | 177, 41, 41, 1, 1 |
177, 1, 1, 1, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 7 x 17 x 41 x 177 x 1 x 1 x 1 x 1 = 6908664
Therefore, the lowest common multiple of 708,697,328,952,119 is 6908664.
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.
708 x 697 x 328 x 952 x 119 = 18336810180864
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.
708 : 1, 2, 3, 4, 6, 12, 59, 118, 177, 236, 354, 708
697 : 1, 17, 41, 697
328 : 1, 2, 4, 8, 41, 82, 164, 328
952 : 1, 2, 4, 7, 8, 14, 17, 28, 34, 56, 68, 119, 136, 238, 476, 952
119 : 1, 7, 17, 119
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 708,697,328,952,119, is 1.
Now, the common factors can be found like this.
708:2x 2x 3x 59
697:17x 41
328:2x 2x 2x 41
952:2x 2x 2x 7x 17
119:7x 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 7x 17x 17x 41 = 2654176
Therefore, the value for common factors is 2654176.
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 = 18336810180864/(1x2654176)
LCM = 18336810180864/2654176
LCM = 6908664
Thus, we can understand that the LCM of 708,697,328,952,119 is 6908664.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 708, 697, 328, 952, 119?
Answer: LCM of 708, 697, 328, 952, 119 is 6908664.
2. How to calculate the LCM of 708, 697, 328, 952, 119?
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 708, 697, 328, 952, 119.
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}.