Find the LCM of 721, 694, 363, 242, 534 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 721, 694, 363, 242, 534. So, keep reading to learn more.
Given numbers are 721,694,363,242,534
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 721,694,363,242,534 is 16165582818.
Find LCM of 721,694,363,242,534 with Prime Factorization
2 | 721, 694, 363, 242, 534 |
3 | 721, 347, 363, 121, 267 |
11 | 721, 347, 121, 121, 89 |
11 | 721, 347, 11, 11, 89 |
721, 347, 1, 1, 89 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 11 x 11 x 721 x 347 x 1 x 1 x 89 = 16165582818
Therefore, the lowest common multiple of 721,694,363,242,534 is 16165582818.
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.
721 x 694 x 363 x 242 x 534 = 23472426251736
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.
721 : 1, 7, 103, 721
694 : 1, 2, 347, 694
363 : 1, 3, 11, 33, 121, 363
242 : 1, 2, 11, 22, 121, 242
534 : 1, 2, 3, 6, 89, 178, 267, 534
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 721,694,363,242,534, is 1.
Now, the common factors can be found like this.
721:7x 103
694:2x 347
363:3x 11x 11
242:2x 11x 11
534:2x 3x 89
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 3x 11x 11 = 1452
Therefore, the value for common factors is 1452.
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 = 23472426251736/(1x1452)
LCM = 23472426251736/1452
LCM = 16165582818
Thus, we can understand that the LCM of 721,694,363,242,534 is 16165582818.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 721, 694, 363, 242, 534?
Answer: LCM of 721, 694, 363, 242, 534 is 16165582818.
2. How to calculate the LCM of 721, 694, 363, 242, 534?
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 721, 694, 363, 242, 534.
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}.