LCM of 710, 844, 210, 303, 213
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 710, 844, 210, 303, 213 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 710, 844, 210, 303, 213. So, keep reading to learn more.
Given numbers are 710,844,210,303,213
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 710,844,210,303,213 is 635494020.
Find LCM of 710,844,210,303,213 with Prime Factorization
| 2 | 710, 844, 210, 303, 213 |
| 3 | 355, 422, 105, 303, 213 |
| 5 | 355, 422, 35, 101, 71 |
| 71 | 71, 422, 7, 101, 71 |
| 1, 422, 7, 101, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 71 x 1 x 422 x 7 x 101 x 1 = 635494020
Therefore, the lowest common multiple of 710,844,210,303,213 is 635494020.
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.
710 x 844 x 210 x 303 x 213 = 8121613575600
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.
710 : 1, 2, 5, 10, 71, 142, 355, 710
844 : 1, 2, 4, 211, 422, 844
210 : 1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210
303 : 1, 3, 101, 303
213 : 1, 3, 71, 213
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 710,844,210,303,213, is 1.
Now, the common factors can be found like this.
710:2x 5x 71
844:2x 2x 211
210:2x 3x 5x 7
303:3x 101
213:3x 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 3x 3x 5x 71 = 12780
Therefore, the value for common factors is 12780.
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 = 8121613575600/(1x12780)
LCM = 8121613575600/12780
LCM = 635494020
Thus, we can understand that the LCM of 710,844,210,303,213 is 635494020.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 710, 844, 210, 303, 213
1. What is the LCM of 710, 844, 210, 303, 213?
Answer: LCM of 710, 844, 210, 303, 213 is 635494020.
2. How to calculate the LCM of 710, 844, 210, 303, 213?
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 710, 844, 210, 303, 213.
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}.