LCM of 715, 312, 210, 766
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 715, 312, 210, 766 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 715, 312, 210, 766. So, keep reading to learn more.
Given numbers are 715,312,210,766
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 715,312,210,766 is 46005960.
Find LCM of 715,312,210,766 with Prime Factorization
| 2 | 715, 312, 210, 766 |
| 3 | 715, 156, 105, 383 |
| 5 | 715, 52, 35, 383 |
| 13 | 143, 52, 7, 383 |
| 11, 4, 7, 383 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 13 x 11 x 4 x 7 x 383 = 46005960
Therefore, the lowest common multiple of 715,312,210,766 is 46005960.
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.
715 x 312 x 210 x 766 = 35884648800
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.
715 : 1, 5, 11, 13, 55, 65, 143, 715
312 : 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312
210 : 1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210
766 : 1, 2, 383, 766
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 715,312,210,766, is 1.
Now, the common factors can be found like this.
715:5x 11x 13
312:2x 2x 2x 3x 13
210:2x 3x 5x 7
766:2x 383
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 3x 5x 13 = 780
Therefore, the value for common factors is 780.
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 = 35884648800/(1x780)
LCM = 35884648800/780
LCM = 46005960
Thus, we can understand that the LCM of 715,312,210,766 is 46005960.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 715, 312, 210, 766
1. What is the LCM of 715, 312, 210, 766?
Answer: LCM of 715, 312, 210, 766 is 46005960.
2. How to calculate the LCM of 715, 312, 210, 766?
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 715, 312, 210, 766.
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}.