Find the LCM of 715, 421, 756, 159, 542 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 715, 421, 756, 159, 542. So, keep reading to learn more.
Given numbers are 715,421,756,159,542
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 715,421,756,159,542 is 3268549704420.
Find LCM of 715,421,756,159,542 with Prime Factorization
2 | 715, 421, 756, 159, 542 |
3 | 715, 421, 378, 159, 271 |
715, 421, 126, 53, 271 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 715 x 421 x 126 x 53 x 271 = 3268549704420
Therefore, the lowest common multiple of 715,421,756,159,542 is 3268549704420.
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.
715 x 421 x 756 x 159 x 542 = 19611298226520
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.
715 : 1, 5, 11, 13, 55, 65, 143, 715
421 : 1, 421
756 : 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756
159 : 1, 3, 53, 159
542 : 1, 2, 271, 542
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 715,421,756,159,542, is 1.
Now, the common factors can be found like this.
715:5x 11x 13
421:421
756:2x 2x 3x 3x 3x 7
159:3x 53
542:2x 271
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3 = 6
Therefore, the value for common factors is 6.
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 = 19611298226520/(1x6)
LCM = 19611298226520/6
LCM = 3268549704420
Thus, we can understand that the LCM of 715,421,756,159,542 is 3268549704420.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 715, 421, 756, 159, 542?
Answer: LCM of 715, 421, 756, 159, 542 is 3268549704420.
2. How to calculate the LCM of 715, 421, 756, 159, 542?
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 715, 421, 756, 159, 542.
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}.