Find the LCM of 951, 852, 144, 280, 838 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 951, 852, 144, 280, 838. So, keep reading to learn more.
Given numbers are 951,852,144,280,838
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 951,852,144,280,838 is 47529382320.
Find LCM of 951,852,144,280,838 with Prime Factorization
2 | 951, 852, 144, 280, 838 |
2 | 951, 426, 72, 140, 419 |
2 | 951, 213, 36, 70, 419 |
3 | 951, 213, 18, 35, 419 |
317, 71, 6, 35, 419 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 317 x 71 x 6 x 35 x 419 = 47529382320
Therefore, the lowest common multiple of 951,852,144,280,838 is 47529382320.
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.
951 x 852 x 144 x 280 x 838 = 27376924216320
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.
951 : 1, 3, 317, 951
852 : 1, 2, 3, 4, 6, 12, 71, 142, 213, 284, 426, 852
144 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144
280 : 1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 140, 280
838 : 1, 2, 419, 838
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 951,852,144,280,838, is 1.
Now, the common factors can be found like this.
951:3x 317
852:2x 2x 3x 71
144:2x 2x 2x 2x 3x 3
280:2x 2x 2x 5x 7
838:2x 419
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 2x 2x 3x 3 = 576
Therefore, the value for common factors is 576.
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 = 27376924216320/(1x576)
LCM = 27376924216320/576
LCM = 47529382320
Thus, we can understand that the LCM of 951,852,144,280,838 is 47529382320.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 951, 852, 144, 280, 838?
Answer: LCM of 951, 852, 144, 280, 838 is 47529382320.
2. How to calculate the LCM of 951, 852, 144, 280, 838?
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 951, 852, 144, 280, 838.
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}.