LCM of 308, 715, 916, 312, 759
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 308, 715, 916, 312, 759 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 308, 715, 916, 312, 759. So, keep reading to learn more.
Given numbers are 308,715,916,312,759
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 308,715,916,312,759 is 632672040.
Find LCM of 308,715,916,312,759 with Prime Factorization
| 2 | 308, 715, 916, 312, 759 |
| 2 | 154, 715, 458, 156, 759 |
| 3 | 77, 715, 229, 78, 759 |
| 11 | 77, 715, 229, 26, 253 |
| 13 | 7, 65, 229, 26, 23 |
| 7, 5, 229, 2, 23 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 11 x 13 x 7 x 5 x 229 x 2 x 23 = 632672040
Therefore, the lowest common multiple of 308,715,916,312,759 is 632672040.
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.
308 x 715 x 916 x 312 x 759 = 47769269708160
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.
308 : 1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308
715 : 1, 5, 11, 13, 55, 65, 143, 715
916 : 1, 2, 4, 229, 458, 916
312 : 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312
759 : 1, 3, 11, 23, 33, 69, 253, 759
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 308,715,916,312,759, is 1.
Now, the common factors can be found like this.
308:2x 2x 7x 11
715:5x 11x 13
916:2x 2x 229
312:2x 2x 2x 3x 13
759:3x 11x 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 3x 11x 11x 13 = 75504
Therefore, the value for common factors is 75504.
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 = 47769269708160/(1x75504)
LCM = 47769269708160/75504
LCM = 632672040
Thus, we can understand that the LCM of 308,715,916,312,759 is 632672040.
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FAQs on LCM of 308, 715, 916, 312, 759
1. What is the LCM of 308, 715, 916, 312, 759?
Answer: LCM of 308, 715, 916, 312, 759 is 632672040.
2. How to calculate the LCM of 308, 715, 916, 312, 759?
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 308, 715, 916, 312, 759.
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}.