LCM of 398, 723, 528, 339, 776
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 398, 723, 528, 339, 776 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 398, 723, 528, 339, 776. So, keep reading to learn more.
Given numbers are 398,723,528,339,776
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 398,723,528,339,776 is 277558300272.
Find LCM of 398,723,528,339,776 with Prime Factorization
| 2 | 398, 723, 528, 339, 776 |
| 2 | 199, 723, 264, 339, 388 |
| 2 | 199, 723, 132, 339, 194 |
| 3 | 199, 723, 66, 339, 97 |
| 199, 241, 22, 113, 97 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 199 x 241 x 22 x 113 x 97 = 277558300272
Therefore, the lowest common multiple of 398,723,528,339,776 is 277558300272.
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.
398 x 723 x 528 x 339 x 776 = 39968395239168
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.
398 : 1, 2, 199, 398
723 : 1, 3, 241, 723
528 : 1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 88, 132, 176, 264, 528
339 : 1, 3, 113, 339
776 : 1, 2, 4, 8, 97, 194, 388, 776
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 398,723,528,339,776, is 1.
Now, the common factors can be found like this.
398:2x 199
723:3x 241
528:2x 2x 2x 2x 3x 11
339:3x 113
776:2x 2x 2x 97
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 3x 3 = 144
Therefore, the value for common factors is 144.
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 = 39968395239168/(1x144)
LCM = 39968395239168/144
LCM = 277558300272
Thus, we can understand that the LCM of 398,723,528,339,776 is 277558300272.
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FAQs on LCM of 398, 723, 528, 339, 776
1. What is the LCM of 398, 723, 528, 339, 776?
Answer: LCM of 398, 723, 528, 339, 776 is 277558300272.
2. How to calculate the LCM of 398, 723, 528, 339, 776?
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 398, 723, 528, 339, 776.
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}.