Find the LCM of 650, 782, 403, 735 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 650, 782, 403, 735. So, keep reading to learn more.
Given numbers are 650,782,403,735
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 650,782,403,735 is 1158161550.
Find LCM of 650,782,403,735 with Prime Factorization
2 | 650, 782, 403, 735 |
5 | 325, 391, 403, 735 |
13 | 65, 391, 403, 147 |
5, 391, 31, 147 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 13 x 5 x 391 x 31 x 147 = 1158161550
Therefore, the lowest common multiple of 650,782,403,735 is 1158161550.
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.
650 x 782 x 403 x 735 = 150561001500
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.
650 : 1, 2, 5, 10, 13, 25, 26, 50, 65, 130, 325, 650
782 : 1, 2, 17, 23, 34, 46, 391, 782
403 : 1, 13, 31, 403
735 : 1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 650,782,403,735, is 1.
Now, the common factors can be found like this.
650:2x 5x 5x 13
782:2x 17x 23
403:13x 31
735:3x 5x 7x 7
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 5x 13 = 130
Therefore, the value for common factors is 130.
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 = 150561001500/(1x130)
LCM = 150561001500/130
LCM = 1158161550
Thus, we can understand that the LCM of 650,782,403,735 is 1158161550.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 650, 782, 403, 735?
Answer: LCM of 650, 782, 403, 735 is 1158161550.
2. How to calculate the LCM of 650, 782, 403, 735?
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 650, 782, 403, 735.
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}.