Find the LCM of 336, 602, 309, 238, 557 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 336, 602, 309, 238, 557. So, keep reading to learn more.
Given numbers are 336,602,309,238,557
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 336,602,309,238,557 is 14091235536.
Find LCM of 336,602,309,238,557 with Prime Factorization
2 | 336, 602, 309, 238, 557 |
3 | 168, 301, 309, 119, 557 |
7 | 56, 301, 103, 119, 557 |
8, 43, 103, 17, 557 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 7 x 8 x 43 x 103 x 17 x 557 = 14091235536
Therefore, the lowest common multiple of 336,602,309,238,557 is 14091235536.
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.
336 x 602 x 309 x 238 x 557 = 8285646495168
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.
336 : 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 56, 84, 112, 168, 336
602 : 1, 2, 7, 14, 43, 86, 301, 602
309 : 1, 3, 103, 309
238 : 1, 2, 7, 14, 17, 34, 119, 238
557 : 1, 557
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 336,602,309,238,557, is 1.
Now, the common factors can be found like this.
336:2x 2x 2x 2x 3x 7
602:2x 7x 43
309:3x 103
238:2x 7x 17
557:557
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 7x 7 = 588
Therefore, the value for common factors is 588.
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 = 8285646495168/(1x588)
LCM = 8285646495168/588
LCM = 14091235536
Thus, we can understand that the LCM of 336,602,309,238,557 is 14091235536.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 336, 602, 309, 238, 557?
Answer: LCM of 336, 602, 309, 238, 557 is 14091235536.
2. How to calculate the LCM of 336, 602, 309, 238, 557?
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 336, 602, 309, 238, 557.
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}.