Find the LCM of 650, 826, 748, 528 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, 826, 748, 528. So, keep reading to learn more.
Given numbers are 650,826,748,528
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 650,826,748,528 is 1204803600.
Find LCM of 650,826,748,528 with Prime Factorization
2 | 650, 826, 748, 528 |
2 | 325, 413, 374, 264 |
11 | 325, 413, 187, 132 |
325, 413, 17, 12 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 11 x 325 x 413 x 17 x 12 = 1204803600
Therefore, the lowest common multiple of 650,826,748,528 is 1204803600.
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 826 x 748 x 528 = 212045433600
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
826 : 1, 2, 7, 14, 59, 118, 413, 826
748 : 1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748
528 : 1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 88, 132, 176, 264, 528
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 650,826,748,528, is 2.
Now, the common factors can be found like this.
650:2x 5x 5x 13
826:2x 7x 59
748:2x 2x 11x 17
528:2x 2x 2x 2x 3x 11
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 11 = 88
Therefore, the value for common factors is 88.
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 = 212045433600/(2x88)
LCM = 212045433600/176
LCM = 1204803600
Thus, we can understand that the LCM of 650,826,748,528 is 1204803600.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 650, 826, 748, 528?
Answer: LCM of 650, 826, 748, 528 is 1204803600.
2. How to calculate the LCM of 650, 826, 748, 528?
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, 826, 748, 528.
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}.