LCM of 722, 171, 689, 676, 416
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 722, 171, 689, 676, 416 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, 171, 689, 676, 416. So, keep reading to learn more.
Given numbers are 722,171,689,676,416
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 722,171,689,676,416 is 931241376.
Find LCM of 722,171,689,676,416 with Prime Factorization
| 2 | 722, 171, 689, 676, 416 |
| 2 | 361, 171, 689, 338, 208 |
| 13 | 361, 171, 689, 169, 104 |
| 19 | 361, 171, 53, 13, 8 |
| 19, 9, 53, 13, 8 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 13 x 19 x 19 x 9 x 53 x 13 x 8 = 931241376
Therefore, the lowest common multiple of 722,171,689,676,416 is 931241376.
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 171 x 689 x 676 x 416 = 23921728466688
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
171 : 1, 3, 9, 19, 57, 171
689 : 1, 13, 53, 689
676 : 1, 2, 4, 13, 26, 52, 169, 338, 676
416 : 1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 208, 416
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 722,171,689,676,416, is 1.
Now, the common factors can be found like this.
722:2x 19x 19
171:3x 3x 19
689:13x 53
676:2x 2x 13x 13
416:2x 2x 2x 2x 2x 13
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 13x 13x 19 = 25688
Therefore, the value for common factors is 25688.
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 = 23921728466688/(1x25688)
LCM = 23921728466688/25688
LCM = 931241376
Thus, we can understand that the LCM of 722,171,689,676,416 is 931241376.
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FAQs on LCM of 722, 171, 689, 676, 416
1. What is the LCM of 722, 171, 689, 676, 416?
Answer: LCM of 722, 171, 689, 676, 416 is 931241376.
2. How to calculate the LCM of 722, 171, 689, 676, 416?
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, 171, 689, 676, 416.
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}.