LCM of 710, 191, 639, 159, 509
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 710, 191, 639, 159, 509 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, 191, 639, 159, 509. So, keep reading to learn more.
Given numbers are 710,191,639,159,509
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 710,191,639,159,509 is 32925158730.
Find LCM of 710,191,639,159,509 with Prime Factorization
| 3 | 710, 191, 639, 159, 509 |
| 71 | 710, 191, 213, 53, 509 |
| 10, 191, 3, 53, 509 |
Multiply the prime numbers at the bottom and the left side.
3 x 71 x 10 x 191 x 3 x 53 x 509 = 32925158730
Therefore, the lowest common multiple of 710,191,639,159,509 is 32925158730.
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 191 x 639 x 159 x 509 = 7013058809490
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
191 : 1, 191
639 : 1, 3, 9, 71, 213, 639
159 : 1, 3, 53, 159
509 : 1, 509
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 710,191,639,159,509, is 1.
Now, the common factors can be found like this.
710:2x 5x 71
191:191
639:3x 3x 71
159:3x 53
509:509
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 71 = 213
Therefore, the value for common factors is 213.
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 = 7013058809490/(1x213)
LCM = 7013058809490/213
LCM = 32925158730
Thus, we can understand that the LCM of 710,191,639,159,509 is 32925158730.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 710, 191, 639, 159, 509
1. What is the LCM of 710, 191, 639, 159, 509?
Answer: LCM of 710, 191, 639, 159, 509 is 32925158730.
2. How to calculate the LCM of 710, 191, 639, 159, 509?
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, 191, 639, 159, 509.
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}.