LCM of 742, 591, 612, 919, 217
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 742, 591, 612, 919, 217 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 742, 591, 612, 919, 217. So, keep reading to learn more.
Given numbers are 742,591,612,919,217
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 742,591,612,919,217 is 1274291432316.
Find LCM of 742,591,612,919,217 with Prime Factorization
| 2 | 742, 591, 612, 919, 217 |
| 3 | 371, 591, 306, 919, 217 |
| 7 | 371, 197, 102, 919, 217 |
| 53, 197, 102, 919, 31 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 7 x 53 x 197 x 102 x 919 x 31 = 1274291432316
Therefore, the lowest common multiple of 742,591,612,919,217 is 1274291432316.
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.
742 x 591 x 612 x 919 x 217 = 53520240157272
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.
742 : 1, 2, 7, 14, 53, 106, 371, 742
591 : 1, 3, 197, 591
612 : 1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 51, 68, 102, 153, 204, 306, 612
919 : 1, 919
217 : 1, 7, 31, 217
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 742,591,612,919,217, is 1.
Now, the common factors can be found like this.
742:2x 7x 53
591:3x 197
612:2x 2x 3x 3x 17
919:919
217:7x 31
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 7 = 42
Therefore, the value for common factors is 42.
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 = 53520240157272/(1x42)
LCM = 53520240157272/42
LCM = 1274291432316
Thus, we can understand that the LCM of 742,591,612,919,217 is 1274291432316.
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FAQs on LCM of 742, 591, 612, 919, 217
1. What is the LCM of 742, 591, 612, 919, 217?
Answer: LCM of 742, 591, 612, 919, 217 is 1274291432316.
2. How to calculate the LCM of 742, 591, 612, 919, 217?
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 742, 591, 612, 919, 217.
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}.