LCM of 527, 980, 507, 524, 400
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 527, 980, 507, 524, 400 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 527, 980, 507, 524, 400. So, keep reading to learn more.
Given numbers are 527,980,507,524,400
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 527,980,507,524,400 is 686034476400.
Find LCM of 527,980,507,524,400 with Prime Factorization
| 2 | 527, 980, 507, 524, 400 |
| 2 | 527, 490, 507, 262, 200 |
| 5 | 527, 245, 507, 131, 100 |
| 527, 49, 507, 131, 20 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 5 x 527 x 49 x 507 x 131 x 20 = 686034476400
Therefore, the lowest common multiple of 527,980,507,524,400 is 686034476400.
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.
527 x 980 x 507 x 524 x 400 = 54882758112000
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.
527 : 1, 17, 31, 527
980 : 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 49, 70, 98, 140, 196, 245, 490, 980
507 : 1, 3, 13, 39, 169, 507
524 : 1, 2, 4, 131, 262, 524
400 : 1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 527,980,507,524,400, is 1.
Now, the common factors can be found like this.
527:17x 31
980:2x 2x 5x 7x 7
507:3x 13x 13
524:2x 2x 131
400:2x 2x 2x 2x 5x 5
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 2x 5 = 80
Therefore, the value for common factors is 80.
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 = 54882758112000/(1x80)
LCM = 54882758112000/80
LCM = 686034476400
Thus, we can understand that the LCM of 527,980,507,524,400 is 686034476400.
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FAQs on LCM of 527, 980, 507, 524, 400
1. What is the LCM of 527, 980, 507, 524, 400?
Answer: LCM of 527, 980, 507, 524, 400 is 686034476400.
2. How to calculate the LCM of 527, 980, 507, 524, 400?
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 527, 980, 507, 524, 400.
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}.