Find the LCM of 716, 572, 121, 380, 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 716, 572, 121, 380, 748. So, keep reading to learn more.
Given numbers are 716,572,121,380,748
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 716,572,121,380,748 is 1818922820.
Find LCM of 716,572,121,380,748 with Prime Factorization
2 | 716, 572, 121, 380, 748 |
2 | 358, 286, 121, 190, 374 |
11 | 179, 143, 121, 95, 187 |
179, 13, 11, 95, 17 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 11 x 179 x 13 x 11 x 95 x 17 = 1818922820
Therefore, the lowest common multiple of 716,572,121,380,748 is 1818922820.
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.
716 x 572 x 121 x 380 x 748 = 14085738318080
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.
716 : 1, 2, 4, 179, 358, 716
572 : 1, 2, 4, 11, 13, 22, 26, 44, 52, 143, 286, 572
121 : 1, 11, 121
380 : 1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380
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 716,572,121,380,748, is 1.
Now, the common factors can be found like this.
716:2x 2x 179
572:2x 2x 11x 13
121:11x 11
380:2x 2x 5x 19
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 2x 2x 2x 2x 2x 11x 11 = 7744
Therefore, the value for common factors is 7744.
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 = 14085738318080/(1x7744)
LCM = 14085738318080/7744
LCM = 1818922820
Thus, we can understand that the LCM of 716,572,121,380,748 is 1818922820.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 716, 572, 121, 380, 748?
Answer: LCM of 716, 572, 121, 380, 748 is 1818922820.
2. How to calculate the LCM of 716, 572, 121, 380, 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 716, 572, 121, 380, 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}.