LCM of 156, 455, 302, 715
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 156, 455, 302, 715 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 156, 455, 302, 715. So, keep reading to learn more.
Given numbers are 156,455,302,715
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 156,455,302,715 is 9069060.
Find LCM of 156,455,302,715 with Prime Factorization
| 2 | 156, 455, 302, 715 |
| 5 | 78, 455, 151, 715 |
| 13 | 78, 91, 151, 143 |
| 6, 7, 151, 11 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 13 x 6 x 7 x 151 x 11 = 9069060
Therefore, the lowest common multiple of 156,455,302,715 is 9069060.
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.
156 x 455 x 302 x 715 = 15326711400
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.
156 : 1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156
455 : 1, 5, 7, 13, 35, 65, 91, 455
302 : 1, 2, 151, 302
715 : 1, 5, 11, 13, 55, 65, 143, 715
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 156,455,302,715, is 1.
Now, the common factors can be found like this.
156:2x 2x 3x 13
455:5x 7x 13
302:2x 151
715:5x 11x 13
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 5x 13x 13 = 1690
Therefore, the value for common factors is 1690.
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 = 15326711400/(1x1690)
LCM = 15326711400/1690
LCM = 9069060
Thus, we can understand that the LCM of 156,455,302,715 is 9069060.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 156, 455, 302, 715
1. What is the LCM of 156, 455, 302, 715?
Answer: LCM of 156, 455, 302, 715 is 9069060.
2. How to calculate the LCM of 156, 455, 302, 715?
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 156, 455, 302, 715.
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}.