LCM of 721, 354, 732, 964, 169
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 721, 354, 732, 964, 169 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, 354, 732, 964, 169. So, keep reading to learn more.
Given numbers are 721,354,732,964,169
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 721,354,732,964,169 is 1268241921492.
Find LCM of 721,354,732,964,169 with Prime Factorization
| 2 | 721, 354, 732, 964, 169 |
| 2 | 721, 177, 366, 482, 169 |
| 3 | 721, 177, 183, 241, 169 |
| 721, 59, 61, 241, 169 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 721 x 59 x 61 x 241 x 169 = 1268241921492
Therefore, the lowest common multiple of 721,354,732,964,169 is 1268241921492.
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 354 x 732 x 964 x 169 = 30437806115808
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
354 : 1, 2, 3, 6, 59, 118, 177, 354
732 : 1, 2, 3, 4, 6, 12, 61, 122, 183, 244, 366, 732
964 : 1, 2, 4, 241, 482, 964
169 : 1, 13, 169
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 721,354,732,964,169, is 1.
Now, the common factors can be found like this.
721:7x 103
354:2x 3x 59
732:2x 2x 3x 61
964:2x 2x 241
169:13x 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 3 = 24
Therefore, the value for common factors is 24.
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 = 30437806115808/(1x24)
LCM = 30437806115808/24
LCM = 1268241921492
Thus, we can understand that the LCM of 721,354,732,964,169 is 1268241921492.
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FAQs on LCM of 721, 354, 732, 964, 169
1. What is the LCM of 721, 354, 732, 964, 169?
Answer: LCM of 721, 354, 732, 964, 169 is 1268241921492.
2. How to calculate the LCM of 721, 354, 732, 964, 169?
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, 354, 732, 964, 169.
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}.