LCM of 610, 363, 759, 671, 917
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 610, 363, 759, 671, 917 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 610, 363, 759, 671, 917. So, keep reading to learn more.
Given numbers are 610,363,759,671,917
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 610,363,759,671,917 is 4670180130.
Find LCM of 610,363,759,671,917 with Prime Factorization
| 3 | 610, 363, 759, 671, 917 |
| 11 | 610, 121, 253, 671, 917 |
| 61 | 610, 11, 23, 61, 917 |
| 10, 11, 23, 1, 917 |
Multiply the prime numbers at the bottom and the left side.
3 x 11 x 61 x 10 x 11 x 23 x 1 x 917 = 4670180130
Therefore, the lowest common multiple of 610,363,759,671,917 is 4670180130.
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.
610 x 363 x 759 x 671 x 917 = 103411798618590
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.
610 : 1, 2, 5, 10, 61, 122, 305, 610
363 : 1, 3, 11, 33, 121, 363
759 : 1, 3, 11, 23, 33, 69, 253, 759
671 : 1, 11, 61, 671
917 : 1, 7, 131, 917
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 610,363,759,671,917, is 1.
Now, the common factors can be found like this.
610:2x 5x 61
363:3x 11x 11
759:3x 11x 23
671:11x 61
917:7x 131
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 11x 11x 61 = 22143
Therefore, the value for common factors is 22143.
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 = 103411798618590/(1x22143)
LCM = 103411798618590/22143
LCM = 4670180130
Thus, we can understand that the LCM of 610,363,759,671,917 is 4670180130.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 610, 363, 759, 671, 917
1. What is the LCM of 610, 363, 759, 671, 917?
Answer: LCM of 610, 363, 759, 671, 917 is 4670180130.
2. How to calculate the LCM of 610, 363, 759, 671, 917?
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 610, 363, 759, 671, 917.
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}.