LCM of 722, 549, 484, 616, 634
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 722, 549, 484, 616, 634 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 722, 549, 484, 616, 634. So, keep reading to learn more.
Given numbers are 722,549,484,616,634
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 722,549,484,616,634 is 425708386488.
Find LCM of 722,549,484,616,634 with Prime Factorization
| 2 | 722, 549, 484, 616, 634 |
| 2 | 361, 549, 242, 308, 317 |
| 11 | 361, 549, 121, 154, 317 |
| 361, 549, 11, 14, 317 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 11 x 361 x 549 x 11 x 14 x 317 = 425708386488
Therefore, the lowest common multiple of 722,549,484,616,634 is 425708386488.
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.
722 x 549 x 484 x 616 x 634 = 74924676021888
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.
722 : 1, 2, 19, 38, 361, 722
549 : 1, 3, 9, 61, 183, 549
484 : 1, 2, 4, 11, 22, 44, 121, 242, 484
616 : 1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 154, 308, 616
634 : 1, 2, 317, 634
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 722,549,484,616,634, is 1.
Now, the common factors can be found like this.
722:2x 19x 19
549:3x 3x 61
484:2x 2x 11x 11
616:2x 2x 2x 7x 11
634:2x 317
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 11 = 176
Therefore, the value for common factors is 176.
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 = 74924676021888/(1x176)
LCM = 74924676021888/176
LCM = 425708386488
Thus, we can understand that the LCM of 722,549,484,616,634 is 425708386488.
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FAQs on LCM of 722, 549, 484, 616, 634
1. What is the LCM of 722, 549, 484, 616, 634?
Answer: LCM of 722, 549, 484, 616, 634 is 425708386488.
2. How to calculate the LCM of 722, 549, 484, 616, 634?
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 722, 549, 484, 616, 634.
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}.