LCM of 484, 716, 452, 594, 952
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 484, 716, 452, 594, 952 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 484, 716, 452, 594, 952. So, keep reading to learn more.
Given numbers are 484,716,452,594,952
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 484,716,452,594,952 is 62909691768.
Find LCM of 484,716,452,594,952 with Prime Factorization
| 2 | 484, 716, 452, 594, 952 |
| 2 | 242, 358, 226, 297, 476 |
| 11 | 121, 179, 113, 297, 238 |
| 11, 179, 113, 27, 238 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 11 x 11 x 179 x 113 x 27 x 238 = 62909691768
Therefore, the lowest common multiple of 484,716,452,594,952 is 62909691768.
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.
484 x 716 x 452 x 594 x 952 = 88576846009344
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.
484 : 1, 2, 4, 11, 22, 44, 121, 242, 484
716 : 1, 2, 4, 179, 358, 716
452 : 1, 2, 4, 113, 226, 452
594 : 1, 2, 3, 6, 9, 11, 18, 22, 27, 33, 54, 66, 99, 198, 297, 594
952 : 1, 2, 4, 7, 8, 14, 17, 28, 34, 56, 68, 119, 136, 238, 476, 952
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 484,716,452,594,952, is 2.
Now, the common factors can be found like this.
484:2x 2x 11x 11
716:2x 2x 179
452:2x 2x 113
594:2x 3x 3x 3x 11
952:2x 2x 2x 7x 17
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 2x 11 = 704
Therefore, the value for common factors is 704.
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 = 88576846009344/(2x704)
LCM = 88576846009344/1408
LCM = 62909691768
Thus, we can understand that the LCM of 484,716,452,594,952 is 62909691768.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 484, 716, 452, 594, 952
1. What is the LCM of 484, 716, 452, 594, 952?
Answer: LCM of 484, 716, 452, 594, 952 is 62909691768.
2. How to calculate the LCM of 484, 716, 452, 594, 952?
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 484, 716, 452, 594, 952.
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}.