LCM of 716, 442, 649, 732
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 716, 442, 649, 732 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, 442, 649, 732. So, keep reading to learn more.
Given numbers are 716,442,649,732
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 716,442,649,732 is 18793215012.
Find LCM of 716,442,649,732 with Prime Factorization
| 2 | 716, 442, 649, 732 |
| 2 | 358, 221, 649, 366 |
| 179, 221, 649, 183 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 179 x 221 x 649 x 183 = 18793215012
Therefore, the lowest common multiple of 716,442,649,732 is 18793215012.
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 442 x 649 x 732 = 150345720096
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
442 : 1, 2, 13, 17, 26, 34, 221, 442
649 : 1, 11, 59, 649
732 : 1, 2, 3, 4, 6, 12, 61, 122, 183, 244, 366, 732
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 716,442,649,732, is 1.
Now, the common factors can be found like this.
716:2x 2x 179
442:2x 13x 17
649:11x 59
732:2x 2x 3x 61
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 2 = 8
Therefore, the value for common factors is 8.
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 = 150345720096/(1x8)
LCM = 150345720096/8
LCM = 18793215012
Thus, we can understand that the LCM of 716,442,649,732 is 18793215012.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 716, 442, 649, 732
1. What is the LCM of 716, 442, 649, 732?
Answer: LCM of 716, 442, 649, 732 is 18793215012.
2. How to calculate the LCM of 716, 442, 649, 732?
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, 442, 649, 732.
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}.