LCM of 714, 374, 665, 913, 283
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 714, 374, 665, 913, 283 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 714, 374, 665, 913, 283. So, keep reading to learn more.
Given numbers are 714,374,665,913,283
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 714,374,665,913,283 is 17525847570.
Find LCM of 714,374,665,913,283 with Prime Factorization
| 2 | 714, 374, 665, 913, 283 |
| 7 | 357, 187, 665, 913, 283 |
| 11 | 51, 187, 95, 913, 283 |
| 17 | 51, 17, 95, 83, 283 |
| 3, 1, 95, 83, 283 |
Multiply the prime numbers at the bottom and the left side.
2 x 7 x 11 x 17 x 3 x 1 x 95 x 83 x 283 = 17525847570
Therefore, the lowest common multiple of 714,374,665,913,283 is 17525847570.
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.
714 x 374 x 665 x 913 x 283 = 45882668938260
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.
714 : 1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714
374 : 1, 2, 11, 17, 22, 34, 187, 374
665 : 1, 5, 7, 19, 35, 95, 133, 665
913 : 1, 11, 83, 913
283 : 1, 283
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 714,374,665,913,283, is 1.
Now, the common factors can be found like this.
714:2x 3x 7x 17
374:2x 11x 17
665:5x 7x 19
913:11x 83
283:283
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 7x 11x 17 = 2618
Therefore, the value for common factors is 2618.
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 = 45882668938260/(1x2618)
LCM = 45882668938260/2618
LCM = 17525847570
Thus, we can understand that the LCM of 714,374,665,913,283 is 17525847570.
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FAQs on LCM of 714, 374, 665, 913, 283
1. What is the LCM of 714, 374, 665, 913, 283?
Answer: LCM of 714, 374, 665, 913, 283 is 17525847570.
2. How to calculate the LCM of 714, 374, 665, 913, 283?
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 714, 374, 665, 913, 283.
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}.