Find the LCM of 142, 998, 702, 169, 710 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 142, 998, 702, 169, 710. So, keep reading to learn more.
Given numbers are 142,998,702,169,710
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 142,998,702,169,710 is 1616625270.
Find LCM of 142,998,702,169,710 with Prime Factorization
2 | 142, 998, 702, 169, 710 |
13 | 71, 499, 351, 169, 355 |
71 | 71, 499, 27, 13, 355 |
1, 499, 27, 13, 5 |
Multiply the prime numbers at the bottom and the left side.
2 x 13 x 71 x 1 x 499 x 27 x 13 x 5 = 1616625270
Therefore, the lowest common multiple of 142,998,702,169,710 is 1616625270.
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.
142 x 998 x 702 x 169 x 710 = 11937160993680
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.
142 : 1, 2, 71, 142
998 : 1, 2, 499, 998
702 : 1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, 702
169 : 1, 13, 169
710 : 1, 2, 5, 10, 71, 142, 355, 710
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 142,998,702,169,710, is 1.
Now, the common factors can be found like this.
142:2x 71
998:2x 499
702:2x 3x 3x 3x 13
169:13x 13
710:2x 5x 71
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 13x 71 = 7384
Therefore, the value for common factors is 7384.
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 = 11937160993680/(1x7384)
LCM = 11937160993680/7384
LCM = 1616625270
Thus, we can understand that the LCM of 142,998,702,169,710 is 1616625270.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 142, 998, 702, 169, 710?
Answer: LCM of 142, 998, 702, 169, 710 is 1616625270.
2. How to calculate the LCM of 142, 998, 702, 169, 710?
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 142, 998, 702, 169, 710.
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}.