Find the LCM of 757, 867, 682, 748 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 757, 867, 682, 748. So, keep reading to learn more.
Given numbers are 757,867,682,748
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 757,867,682,748 is 895219116.
Find LCM of 757,867,682,748 with Prime Factorization
2 | 757, 867, 682, 748 |
11 | 757, 867, 341, 374 |
17 | 757, 867, 31, 34 |
757, 51, 31, 2 |
Multiply the prime numbers at the bottom and the left side.
2 x 11 x 17 x 757 x 51 x 31 x 2 = 895219116
Therefore, the lowest common multiple of 757,867,682,748 is 895219116.
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.
757 x 867 x 682 x 748 = 334811949384
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.
757 : 1, 757
867 : 1, 3, 17, 51, 289, 867
682 : 1, 2, 11, 22, 31, 62, 341, 682
748 : 1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 757,867,682,748, is 1.
Now, the common factors can be found like this.
757:757
867:3x 17x 17
682:2x 11x 31
748:2x 2x 11x 17
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 11x 17 = 374
Therefore, the value for common factors is 374.
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 = 334811949384/(1x374)
LCM = 334811949384/374
LCM = 895219116
Thus, we can understand that the LCM of 757,867,682,748 is 895219116.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 757, 867, 682, 748?
Answer: LCM of 757, 867, 682, 748 is 895219116.
2. How to calculate the LCM of 757, 867, 682, 748?
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 757, 867, 682, 748.
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}.