LCM of 532, 989, 506, 712, 716
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 532, 989, 506, 712, 716 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 532, 989, 506, 712, 716. So, keep reading to learn more.
Given numbers are 532,989,506,712,716
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 532,989,506,712,716 is 184405403336.
Find LCM of 532,989,506,712,716 with Prime Factorization
| 2 | 532, 989, 506, 712, 716 |
| 2 | 266, 989, 253, 356, 358 |
| 23 | 133, 989, 253, 178, 179 |
| 133, 43, 11, 178, 179 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 23 x 133 x 43 x 11 x 178 x 179 = 184405403336
Therefore, the lowest common multiple of 532,989,506,712,716 is 184405403336.
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.
532 x 989 x 506 x 712 x 716 = 135722376855296
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.
532 : 1, 2, 4, 7, 14, 19, 28, 38, 76, 133, 266, 532
989 : 1, 23, 43, 989
506 : 1, 2, 11, 22, 23, 46, 253, 506
712 : 1, 2, 4, 8, 89, 178, 356, 712
716 : 1, 2, 4, 179, 358, 716
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 532,989,506,712,716, is 1.
Now, the common factors can be found like this.
532:2x 2x 7x 19
989:23x 43
506:2x 11x 23
712:2x 2x 2x 89
716:2x 2x 179
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 2x 2x 23 = 736
Therefore, the value for common factors is 736.
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 = 135722376855296/(1x736)
LCM = 135722376855296/736
LCM = 184405403336
Thus, we can understand that the LCM of 532,989,506,712,716 is 184405403336.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 532, 989, 506, 712, 716
1. What is the LCM of 532, 989, 506, 712, 716?
Answer: LCM of 532, 989, 506, 712, 716 is 184405403336.
2. How to calculate the LCM of 532, 989, 506, 712, 716?
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 532, 989, 506, 712, 716.
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}.