LCM of 717, 349, 551, 874
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 717, 349, 551, 874 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 717, 349, 551, 874. So, keep reading to learn more.
Given numbers are 717,349,551,874
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 717,349,551,874 is 6342405618.
Find LCM of 717,349,551,874 with Prime Factorization
| 19 | 717, 349, 551, 874 |
| 717, 349, 29, 46 |
Multiply the prime numbers at the bottom and the left side.
19 x 717 x 349 x 29 x 46 = 6342405618
Therefore, the lowest common multiple of 717,349,551,874 is 6342405618.
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.
717 x 349 x 551 x 874 = 120505706742
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.
717 : 1, 3, 239, 717
349 : 1, 349
551 : 1, 19, 29, 551
874 : 1, 2, 19, 23, 38, 46, 437, 874
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 717,349,551,874, is 1.
Now, the common factors can be found like this.
717:3x 239
349:349
551:19x 29
874:2x 19x 23
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
19 = 19
Therefore, the value for common factors is 19.
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 = 120505706742/(1x19)
LCM = 120505706742/19
LCM = 6342405618
Thus, we can understand that the LCM of 717,349,551,874 is 6342405618.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 717, 349, 551, 874
1. What is the LCM of 717, 349, 551, 874?
Answer: LCM of 717, 349, 551, 874 is 6342405618.
2. How to calculate the LCM of 717, 349, 551, 874?
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 717, 349, 551, 874.
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}.