LCM of 962, 290, 856, 220, 709
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 962, 290, 856, 220, 709 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 962, 290, 856, 220, 709. So, keep reading to learn more.
Given numbers are 962,290,856,220,709
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 962,290,856,220,709 is 465613714280.
Find LCM of 962,290,856,220,709 with Prime Factorization
| 2 | 962, 290, 856, 220, 709 |
| 2 | 481, 145, 428, 110, 709 |
| 5 | 481, 145, 214, 55, 709 |
| 481, 29, 214, 11, 709 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 5 x 481 x 29 x 214 x 11 x 709 = 465613714280
Therefore, the lowest common multiple of 962,290,856,220,709 is 465613714280.
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.
962 x 290 x 856 x 220 x 709 = 37249097142400
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.
962 : 1, 2, 13, 26, 37, 74, 481, 962
290 : 1, 2, 5, 10, 29, 58, 145, 290
856 : 1, 2, 4, 8, 107, 214, 428, 856
220 : 1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220
709 : 1, 709
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 962,290,856,220,709, is 1.
Now, the common factors can be found like this.
962:2x 13x 37
290:2x 5x 29
856:2x 2x 2x 107
220:2x 2x 5x 11
709:709
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 5 = 80
Therefore, the value for common factors is 80.
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 = 37249097142400/(1x80)
LCM = 37249097142400/80
LCM = 465613714280
Thus, we can understand that the LCM of 962,290,856,220,709 is 465613714280.
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FAQs on LCM of 962, 290, 856, 220, 709
1. What is the LCM of 962, 290, 856, 220, 709?
Answer: LCM of 962, 290, 856, 220, 709 is 465613714280.
2. How to calculate the LCM of 962, 290, 856, 220, 709?
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 962, 290, 856, 220, 709.
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}.