LCM of 104, 708, 312, 858, 314
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 104, 708, 312, 858, 314 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 104, 708, 312, 858, 314. So, keep reading to learn more.
Given numbers are 104,708,312,858,314
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 104,708,312,858,314 is 31790616.
Find LCM of 104,708,312,858,314 with Prime Factorization
| 2 | 104, 708, 312, 858, 314 |
| 2 | 52, 354, 156, 429, 157 |
| 2 | 26, 177, 78, 429, 157 |
| 3 | 13, 177, 39, 429, 157 |
| 13 | 13, 59, 13, 143, 157 |
| 1, 59, 1, 11, 157 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 13 x 1 x 59 x 1 x 11 x 157 = 31790616
Therefore, the lowest common multiple of 104,708,312,858,314 is 31790616.
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.
104 x 708 x 312 x 858 x 314 = 6189251447808
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.
104 : 1, 2, 4, 8, 13, 26, 52, 104
708 : 1, 2, 3, 4, 6, 12, 59, 118, 177, 236, 354, 708
312 : 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312
858 : 1, 2, 3, 6, 11, 13, 22, 26, 33, 39, 66, 78, 143, 286, 429, 858
314 : 1, 2, 157, 314
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 104,708,312,858,314, is 2.
Now, the common factors can be found like this.
104:2x 2x 2x 13
708:2x 2x 3x 59
312:2x 2x 2x 3x 13
858:2x 3x 11x 13
314:2x 157
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 3x 13x 13 = 97344
Therefore, the value for common factors is 97344.
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 = 6189251447808/(2x97344)
LCM = 6189251447808/194688
LCM = 31790616
Thus, we can understand that the LCM of 104,708,312,858,314 is 31790616.
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FAQs on LCM of 104, 708, 312, 858, 314
1. What is the LCM of 104, 708, 312, 858, 314?
Answer: LCM of 104, 708, 312, 858, 314 is 31790616.
2. How to calculate the LCM of 104, 708, 312, 858, 314?
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 104, 708, 312, 858, 314.
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}.