Find the LCM of 426, 117, 197, 710, 591 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 426, 117, 197, 710, 591. So, keep reading to learn more.
Given numbers are 426,117,197,710,591
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 426,117,197,710,591 is 16364790.
Find LCM of 426,117,197,710,591 with Prime Factorization
2 | 426, 117, 197, 710, 591 |
3 | 213, 117, 197, 355, 591 |
71 | 71, 39, 197, 355, 197 |
197 | 1, 39, 197, 5, 197 |
1, 39, 1, 5, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 71 x 197 x 1 x 39 x 1 x 5 x 1 = 16364790
Therefore, the lowest common multiple of 426,117,197,710,591 is 16364790.
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.
426 x 117 x 197 x 710 x 591 = 4120097719140
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.
426 : 1, 2, 3, 6, 71, 142, 213, 426
117 : 1, 3, 9, 13, 39, 117
197 : 1, 197
710 : 1, 2, 5, 10, 71, 142, 355, 710
591 : 1, 3, 197, 591
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 426,117,197,710,591, is 1.
Now, the common factors can be found like this.
426:2x 3x 71
117:3x 3x 13
197:197
710:2x 5x 71
591:3x 197
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 3x 71x 197 = 251766
Therefore, the value for common factors is 251766.
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 = 4120097719140/(1x251766)
LCM = 4120097719140/251766
LCM = 16364790
Thus, we can understand that the LCM of 426,117,197,710,591 is 16364790.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 426, 117, 197, 710, 591?
Answer: LCM of 426, 117, 197, 710, 591 is 16364790.
2. How to calculate the LCM of 426, 117, 197, 710, 591?
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 426, 117, 197, 710, 591.
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}.