Find the LCM of 169, 994, 710, 214 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 169, 994, 710, 214. So, keep reading to learn more.
Given numbers are 169,994,710,214
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 169,994,710,214 is 89872510.
Find LCM of 169,994,710,214 with Prime Factorization
2 | 169, 994, 710, 214 |
71 | 169, 497, 355, 107 |
169, 7, 5, 107 |
Multiply the prime numbers at the bottom and the left side.
2 x 71 x 169 x 7 x 5 x 107 = 89872510
Therefore, the lowest common multiple of 169,994,710,214 is 89872510.
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.
169 x 994 x 710 x 214 = 25523792840
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.
169 : 1, 13, 169
994 : 1, 2, 7, 14, 71, 142, 497, 994
710 : 1, 2, 5, 10, 71, 142, 355, 710
214 : 1, 2, 107, 214
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 169,994,710,214, is 1.
Now, the common factors can be found like this.
169:13x 13
994:2x 7x 71
710:2x 5x 71
214:2x 107
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 71 = 284
Therefore, the value for common factors is 284.
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 = 25523792840/(1x284)
LCM = 25523792840/284
LCM = 89872510
Thus, we can understand that the LCM of 169,994,710,214 is 89872510.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 169, 994, 710, 214?
Answer: LCM of 169, 994, 710, 214 is 89872510.
2. How to calculate the LCM of 169, 994, 710, 214?
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 169, 994, 710, 214.
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}.