LCM of 707, 565, 510, 204, 617
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 707, 565, 510, 204, 617 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 707, 565, 510, 204, 617. So, keep reading to learn more.
Given numbers are 707,565,510,204,617
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 707,565,510,204,617 is 50278601940.
Find LCM of 707,565,510,204,617 with Prime Factorization
| 2 | 707, 565, 510, 204, 617 |
| 3 | 707, 565, 255, 102, 617 |
| 5 | 707, 565, 85, 34, 617 |
| 17 | 707, 113, 17, 34, 617 |
| 707, 113, 1, 2, 617 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 17 x 707 x 113 x 1 x 2 x 617 = 50278601940
Therefore, the lowest common multiple of 707,565,510,204,617 is 50278601940.
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.
707 x 565 x 510 x 204 x 617 = 25642086989400
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.
707 : 1, 7, 101, 707
565 : 1, 5, 113, 565
510 : 1, 2, 3, 5, 6, 10, 15, 17, 30, 34, 51, 85, 102, 170, 255, 510
204 : 1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204
617 : 1, 617
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 707,565,510,204,617, is 1.
Now, the common factors can be found like this.
707:7x 101
565:5x 113
510:2x 3x 5x 17
204:2x 2x 3x 17
617:617
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 5x 17 = 510
Therefore, the value for common factors is 510.
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 = 25642086989400/(1x510)
LCM = 25642086989400/510
LCM = 50278601940
Thus, we can understand that the LCM of 707,565,510,204,617 is 50278601940.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 707, 565, 510, 204, 617
1. What is the LCM of 707, 565, 510, 204, 617?
Answer: LCM of 707, 565, 510, 204, 617 is 50278601940.
2. How to calculate the LCM of 707, 565, 510, 204, 617?
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 707, 565, 510, 204, 617.
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}.