LCM of 520, 710, 884, 527
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 520, 710, 884, 527 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 520, 710, 884, 527. So, keep reading to learn more.
Given numbers are 520,710,884,527
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 520,710,884,527 is 19456840.
Find LCM of 520,710,884,527 with Prime Factorization
| 2 | 520, 710, 884, 527 |
| 2 | 260, 355, 442, 527 |
| 5 | 130, 355, 221, 527 |
| 13 | 26, 71, 221, 527 |
| 17 | 2, 71, 17, 527 |
| 2, 71, 1, 31 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 5 x 13 x 17 x 2 x 71 x 1 x 31 = 19456840
Therefore, the lowest common multiple of 520,710,884,527 is 19456840.
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.
520 x 710 x 884 x 527 = 171998465600
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.
520 : 1, 2, 4, 5, 8, 10, 13, 20, 26, 40, 52, 65, 104, 130, 260, 520
710 : 1, 2, 5, 10, 71, 142, 355, 710
884 : 1, 2, 4, 13, 17, 26, 34, 52, 68, 221, 442, 884
527 : 1, 17, 31, 527
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 520,710,884,527, is 1.
Now, the common factors can be found like this.
520:2x 2x 2x 5x 13
710:2x 5x 71
884:2x 2x 13x 17
527:17x 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 2x 2x 5x 13x 17 = 8840
Therefore, the value for common factors is 8840.
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 = 171998465600/(1x8840)
LCM = 171998465600/8840
LCM = 19456840
Thus, we can understand that the LCM of 520,710,884,527 is 19456840.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 520, 710, 884, 527
1. What is the LCM of 520, 710, 884, 527?
Answer: LCM of 520, 710, 884, 527 is 19456840.
2. How to calculate the LCM of 520, 710, 884, 527?
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 520, 710, 884, 527.
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}.