Find the LCM of 411, 381, 549, 710, 238 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 411, 381, 549, 710, 238. So, keep reading to learn more.
Given numbers are 411,381,549,710,238
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 411,381,549,710,238 is 807052788990.
Find LCM of 411,381,549,710,238 with Prime Factorization
2 | 411, 381, 549, 710, 238 |
3 | 411, 381, 549, 355, 119 |
137, 127, 183, 355, 119 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 137 x 127 x 183 x 355 x 119 = 807052788990
Therefore, the lowest common multiple of 411,381,549,710,238 is 807052788990.
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.
411 x 381 x 549 x 710 x 238 = 14526950201820
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.
411 : 1, 3, 137, 411
381 : 1, 3, 127, 381
549 : 1, 3, 9, 61, 183, 549
710 : 1, 2, 5, 10, 71, 142, 355, 710
238 : 1, 2, 7, 14, 17, 34, 119, 238
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 411,381,549,710,238, is 1.
Now, the common factors can be found like this.
411:3x 137
381:3x 127
549:3x 3x 61
710:2x 5x 71
238:2x 7x 17
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 3 = 18
Therefore, the value for common factors is 18.
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 = 14526950201820/(1x18)
LCM = 14526950201820/18
LCM = 807052788990
Thus, we can understand that the LCM of 411,381,549,710,238 is 807052788990.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 411, 381, 549, 710, 238?
Answer: LCM of 411, 381, 549, 710, 238 is 807052788990.
2. How to calculate the LCM of 411, 381, 549, 710, 238?
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 411, 381, 549, 710, 238.
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}.