Find the LCM of 410, 157, 690, 861 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 410, 157, 690, 861. So, keep reading to learn more.
Given numbers are 410,157,690,861
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 410,157,690,861 is 31090710.
Find LCM of 410,157,690,861 with Prime Factorization
2 | 410, 157, 690, 861 |
3 | 205, 157, 345, 861 |
5 | 205, 157, 115, 287 |
41 | 41, 157, 23, 287 |
1, 157, 23, 7 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 41 x 1 x 157 x 23 x 7 = 31090710
Therefore, the lowest common multiple of 410,157,690,861 is 31090710.
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.
410 x 157 x 690 x 861 = 38241573300
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.
410 : 1, 2, 5, 10, 41, 82, 205, 410
157 : 1, 157
690 : 1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690
861 : 1, 3, 7, 21, 41, 123, 287, 861
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 410,157,690,861, is 1.
Now, the common factors can be found like this.
410:2x 5x 41
157:157
690:2x 3x 5x 23
861:3x 7x 41
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 5x 41 = 1230
Therefore, the value for common factors is 1230.
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 = 38241573300/(1x1230)
LCM = 38241573300/1230
LCM = 31090710
Thus, we can understand that the LCM of 410,157,690,861 is 31090710.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 410, 157, 690, 861?
Answer: LCM of 410, 157, 690, 861 is 31090710.
2. How to calculate the LCM of 410, 157, 690, 861?
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 410, 157, 690, 861.
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}.