LCM of 763, 730, 429, 705, 259
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 763, 730, 429, 705, 259 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 763, 730, 429, 705, 259. So, keep reading to learn more.
Given numbers are 763,730,429,705,259
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 763,730,429,705,259 is 415531806690.
Find LCM of 763,730,429,705,259 with Prime Factorization
| 3 | 763, 730, 429, 705, 259 |
| 5 | 763, 730, 143, 235, 259 |
| 7 | 763, 146, 143, 47, 259 |
| 109, 146, 143, 47, 37 |
Multiply the prime numbers at the bottom and the left side.
3 x 5 x 7 x 109 x 146 x 143 x 47 x 37 = 415531806690
Therefore, the lowest common multiple of 763,730,429,705,259 is 415531806690.
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.
763 x 730 x 429 x 705 x 259 = 43630839702450
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.
763 : 1, 7, 109, 763
730 : 1, 2, 5, 10, 73, 146, 365, 730
429 : 1, 3, 11, 13, 33, 39, 143, 429
705 : 1, 3, 5, 15, 47, 141, 235, 705
259 : 1, 7, 37, 259
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 763,730,429,705,259, is 1.
Now, the common factors can be found like this.
763:7x 109
730:2x 5x 73
429:3x 11x 13
705:3x 5x 47
259:7x 37
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 5x 7 = 105
Therefore, the value for common factors is 105.
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 = 43630839702450/(1x105)
LCM = 43630839702450/105
LCM = 415531806690
Thus, we can understand that the LCM of 763,730,429,705,259 is 415531806690.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 763, 730, 429, 705, 259
1. What is the LCM of 763, 730, 429, 705, 259?
Answer: LCM of 763, 730, 429, 705, 259 is 415531806690.
2. How to calculate the LCM of 763, 730, 429, 705, 259?
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 763, 730, 429, 705, 259.
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}.