LCM of 762, 578, 797, 213, 867
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 762, 578, 797, 213, 867 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 762, 578, 797, 213, 867. So, keep reading to learn more.
Given numbers are 762,578,797,213,867
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 762,578,797,213,867 is 12461475966.
Find LCM of 762,578,797,213,867 with Prime Factorization
| 2 | 762, 578, 797, 213, 867 |
| 3 | 381, 289, 797, 213, 867 |
| 17 | 127, 289, 797, 71, 289 |
| 17 | 127, 17, 797, 71, 17 |
| 127, 1, 797, 71, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 17 x 17 x 127 x 1 x 797 x 71 x 1 = 12461475966
Therefore, the lowest common multiple of 762,578,797,213,867 is 12461475966.
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.
762 x 578 x 797 x 213 x 867 = 64824597975132
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.
762 : 1, 2, 3, 6, 127, 254, 381, 762
578 : 1, 2, 17, 34, 289, 578
797 : 1, 797
213 : 1, 3, 71, 213
867 : 1, 3, 17, 51, 289, 867
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 762,578,797,213,867, is 1.
Now, the common factors can be found like this.
762:2x 3x 127
578:2x 17x 17
797:797
213:3x 71
867:3x 17x 17
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 3x 17x 17 = 5202
Therefore, the value for common factors is 5202.
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 = 64824597975132/(1x5202)
LCM = 64824597975132/5202
LCM = 12461475966
Thus, we can understand that the LCM of 762,578,797,213,867 is 12461475966.
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FAQs on LCM of 762, 578, 797, 213, 867
1. What is the LCM of 762, 578, 797, 213, 867?
Answer: LCM of 762, 578, 797, 213, 867 is 12461475966.
2. How to calculate the LCM of 762, 578, 797, 213, 867?
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 762, 578, 797, 213, 867.
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}.