Find the LCM of 972, 713, 429, 468, 942 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 972, 713, 429, 468, 942. So, keep reading to learn more.
Given numbers are 972,713,429,468,942
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 972,713,429,468,942 is 15559351236.
Find LCM of 972,713,429,468,942 with Prime Factorization
2 | 972, 713, 429, 468, 942 |
2 | 486, 713, 429, 234, 471 |
3 | 243, 713, 429, 117, 471 |
3 | 81, 713, 143, 39, 157 |
13 | 27, 713, 143, 13, 157 |
27, 713, 11, 1, 157 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 13 x 27 x 713 x 11 x 1 x 157 = 15559351236
Therefore, the lowest common multiple of 972,713,429,468,942 is 15559351236.
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.
972 x 713 x 429 x 468 x 942 = 131071974812064
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.
972 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972
713 : 1, 23, 31, 713
429 : 1, 3, 11, 13, 33, 39, 143, 429
468 : 1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468
942 : 1, 2, 3, 6, 157, 314, 471, 942
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 972,713,429,468,942, is 1.
Now, the common factors can be found like this.
972:2x 2x 3x 3x 3x 3x 3
713:23x 31
429:3x 11x 13
468:2x 2x 3x 3x 13
942:2x 3x 157
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 3x 3x 3x 3x 13 = 8424
Therefore, the value for common factors is 8424.
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 = 131071974812064/(1x8424)
LCM = 131071974812064/8424
LCM = 15559351236
Thus, we can understand that the LCM of 972,713,429,468,942 is 15559351236.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 972, 713, 429, 468, 942?
Answer: LCM of 972, 713, 429, 468, 942 is 15559351236.
2. How to calculate the LCM of 972, 713, 429, 468, 942?
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 972, 713, 429, 468, 942.
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}.