LCM of 714, 527, 801, 351
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 714, 527, 801, 351 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, 527, 801, 351. So, keep reading to learn more.
Given numbers are 714,527,801,351
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 714,527,801,351 is 230481342.
Find LCM of 714,527,801,351 with Prime Factorization
| 3 | 714, 527, 801, 351 |
| 3 | 238, 527, 267, 117 |
| 17 | 238, 527, 89, 39 |
| 14, 31, 89, 39 |
Multiply the prime numbers at the bottom and the left side.
3 x 3 x 17 x 14 x 31 x 89 x 39 = 230481342
Therefore, the lowest common multiple of 714,527,801,351 is 230481342.
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 527 x 801 x 351 = 105790935978
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
527 : 1, 17, 31, 527
801 : 1, 3, 9, 89, 267, 801
351 : 1, 3, 9, 13, 27, 39, 117, 351
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 714,527,801,351, is 1.
Now, the common factors can be found like this.
714:2x 3x 7x 17
527:17x 31
801:3x 3x 89
351:3x 3x 3x 13
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3x 3x 17 = 459
Therefore, the value for common factors is 459.
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 = 105790935978/(1x459)
LCM = 105790935978/459
LCM = 230481342
Thus, we can understand that the LCM of 714,527,801,351 is 230481342.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 714, 527, 801, 351
1. What is the LCM of 714, 527, 801, 351?
Answer: LCM of 714, 527, 801, 351 is 230481342.
2. How to calculate the LCM of 714, 527, 801, 351?
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, 527, 801, 351.
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}.