LCM of 772, 169, 572, 339
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 772, 169, 572, 339 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 772, 169, 572, 339. So, keep reading to learn more.
Given numbers are 772,169,572,339
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 772,169,572,339 is 486515172.
Find LCM of 772,169,572,339 with Prime Factorization
| 2 | 772, 169, 572, 339 |
| 2 | 386, 169, 286, 339 |
| 13 | 193, 169, 143, 339 |
| 193, 13, 11, 339 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 13 x 193 x 13 x 11 x 339 = 486515172
Therefore, the lowest common multiple of 772,169,572,339 is 486515172.
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.
772 x 169 x 572 x 339 = 25298788944
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.
772 : 1, 2, 4, 193, 386, 772
169 : 1, 13, 169
572 : 1, 2, 4, 11, 13, 22, 26, 44, 52, 143, 286, 572
339 : 1, 3, 113, 339
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 772,169,572,339, is 1.
Now, the common factors can be found like this.
772:2x 2x 193
169:13x 13
572:2x 2x 11x 13
339:3x 113
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 13 = 52
Therefore, the value for common factors is 52.
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 = 25298788944/(1x52)
LCM = 25298788944/52
LCM = 486515172
Thus, we can understand that the LCM of 772,169,572,339 is 486515172.
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FAQs on LCM of 772, 169, 572, 339
1. What is the LCM of 772, 169, 572, 339?
Answer: LCM of 772, 169, 572, 339 is 486515172.
2. How to calculate the LCM of 772, 169, 572, 339?
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 772, 169, 572, 339.
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}.