LCM of 716, 768, 714, 213
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 716, 768, 714, 213 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 716, 768, 714, 213. So, keep reading to learn more.
Given numbers are 716,768,714,213
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 716,768,714,213 is 1161500928.
Find LCM of 716,768,714,213 with Prime Factorization
| 2 | 716, 768, 714, 213 |
| 2 | 358, 384, 357, 213 |
| 3 | 179, 192, 357, 213 |
| 179, 64, 119, 71 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 179 x 64 x 119 x 71 = 1161500928
Therefore, the lowest common multiple of 716,768,714,213 is 1161500928.
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.
716 x 768 x 714 x 213 = 83628066816
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.
716 : 1, 2, 4, 179, 358, 716
768 : 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 256, 384, 768
714 : 1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714
213 : 1, 3, 71, 213
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 716,768,714,213, is 1.
Now, the common factors can be found like this.
716:2x 2x 179
768:2x 2x 2x 2x 2x 2x 2x 2x 3
714:2x 3x 7x 17
213:3x 71
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 3x 3 = 72
Therefore, the value for common factors is 72.
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 = 83628066816/(1x72)
LCM = 83628066816/72
LCM = 1161500928
Thus, we can understand that the LCM of 716,768,714,213 is 1161500928.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 716, 768, 714, 213
1. What is the LCM of 716, 768, 714, 213?
Answer: LCM of 716, 768, 714, 213 is 1161500928.
2. How to calculate the LCM of 716, 768, 714, 213?
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 716, 768, 714, 213.
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}.