Find the LCM of 399, 363, 362, 724, 701 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 399, 363, 362, 724, 701. So, keep reading to learn more.
Given numbers are 399,363,362,724,701
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 399,363,362,724,701 is 24502751196.
Find LCM of 399,363,362,724,701 with Prime Factorization
2 | 399, 363, 362, 724, 701 |
3 | 399, 363, 181, 362, 701 |
181 | 133, 121, 181, 362, 701 |
133, 121, 1, 2, 701 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 181 x 133 x 121 x 1 x 2 x 701 = 24502751196
Therefore, the lowest common multiple of 399,363,362,724,701 is 24502751196.
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.
399 x 363 x 362 x 724 x 701 = 26609987798856
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.
399 : 1, 3, 7, 19, 21, 57, 133, 399
363 : 1, 3, 11, 33, 121, 363
362 : 1, 2, 181, 362
724 : 1, 2, 4, 181, 362, 724
701 : 1, 701
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 399,363,362,724,701, is 1.
Now, the common factors can be found like this.
399:3x 7x 19
363:3x 11x 11
362:2x 181
724:2x 2x 181
701:701
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 181 = 1086
Therefore, the value for common factors is 1086.
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 = 26609987798856/(1x1086)
LCM = 26609987798856/1086
LCM = 24502751196
Thus, we can understand that the LCM of 399,363,362,724,701 is 24502751196.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 399, 363, 362, 724, 701?
Answer: LCM of 399, 363, 362, 724, 701 is 24502751196.
2. How to calculate the LCM of 399, 363, 362, 724, 701?
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 399, 363, 362, 724, 701.
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}.