LCM of 650, 715, 169, 312
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 650, 715, 169, 312 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 650, 715, 169, 312. So, keep reading to learn more.
Given numbers are 650,715,169,312
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 650,715,169,312 is 1115400.
Find LCM of 650,715,169,312 with Prime Factorization
| 2 | 650, 715, 169, 312 |
| 5 | 325, 715, 169, 156 |
| 13 | 65, 143, 169, 156 |
| 5, 11, 13, 12 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 13 x 5 x 11 x 13 x 12 = 1115400
Therefore, the lowest common multiple of 650,715,169,312 is 1115400.
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.
650 x 715 x 169 x 312 = 24505338000
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.
650 : 1, 2, 5, 10, 13, 25, 26, 50, 65, 130, 325, 650
715 : 1, 5, 11, 13, 55, 65, 143, 715
169 : 1, 13, 169
312 : 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312
13 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 650,715,169,312, is 13.
Now, the common factors can be found like this.
650:2x 5x 5x 13
715:5x 11x 13
169:13x 13
312:2x 2x 2x 3x 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 = 24505338000/(13x1690)
LCM = 24505338000/21970
LCM = 1115400
Thus, we can understand that the LCM of 650,715,169,312 is 1115400.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 650, 715, 169, 312
1. What is the LCM of 650, 715, 169, 312?
Answer: LCM of 650, 715, 169, 312 is 1115400.
2. How to calculate the LCM of 650, 715, 169, 312?
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 650, 715, 169, 312.
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}.