LCM of 709, 260, 118, 850, 260
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 709, 260, 118, 850, 260 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 709, 260, 118, 850, 260. So, keep reading to learn more.
Given numbers are 709,260,118,850,260
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 709,260,118,850,260 is 924465100.
Find LCM of 709,260,118,850,260 with Prime Factorization
| 2 | 709, 260, 118, 850, 260 |
| 2 | 709, 130, 59, 425, 130 |
| 5 | 709, 65, 59, 425, 65 |
| 13 | 709, 13, 59, 85, 13 |
| 709, 1, 59, 85, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 5 x 13 x 709 x 1 x 59 x 85 x 1 = 924465100
Therefore, the lowest common multiple of 709,260,118,850,260 is 924465100.
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.
709 x 260 x 118 x 850 x 260 = 4807218520000
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.
709 : 1, 709
260 : 1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 260
118 : 1, 2, 59, 118
850 : 1, 2, 5, 10, 17, 25, 34, 50, 85, 170, 425, 850
260 : 1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 260
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 709,260,118,850,260, is 1.
Now, the common factors can be found like this.
709:709
260:2x 2x 5x 13
118:2x 59
850:2x 5x 5x 17
260:2x 2x 5x 13
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 2x 2x 5x 5x 13 = 5200
Therefore, the value for common factors is 5200.
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 = 4807218520000/(1x5200)
LCM = 4807218520000/5200
LCM = 924465100
Thus, we can understand that the LCM of 709,260,118,850,260 is 924465100.
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FAQs on LCM of 709, 260, 118, 850, 260
1. What is the LCM of 709, 260, 118, 850, 260?
Answer: LCM of 709, 260, 118, 850, 260 is 924465100.
2. How to calculate the LCM of 709, 260, 118, 850, 260?
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 709, 260, 118, 850, 260.
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}.