LCM of 524, 452, 490, 131
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 524, 452, 490, 131 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 524, 452, 490, 131. So, keep reading to learn more.
Given numbers are 524,452,490,131
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 524,452,490,131 is 14506940.
Find LCM of 524,452,490,131 with Prime Factorization
| 2 | 524, 452, 490, 131 |
| 2 | 262, 226, 245, 131 |
| 131 | 131, 113, 245, 131 |
| 1, 113, 245, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 131 x 1 x 113 x 245 x 1 = 14506940
Therefore, the lowest common multiple of 524,452,490,131 is 14506940.
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.
524 x 452 x 490 x 131 = 15203273120
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.
524 : 1, 2, 4, 131, 262, 524
452 : 1, 2, 4, 113, 226, 452
490 : 1, 2, 5, 7, 10, 14, 35, 49, 70, 98, 245, 490
131 : 1, 131
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 524,452,490,131, is 1.
Now, the common factors can be found like this.
524:2x 2x 131
452:2x 2x 113
490:2x 5x 7x 7
131:131
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 131 = 1048
Therefore, the value for common factors is 1048.
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 = 15203273120/(1x1048)
LCM = 15203273120/1048
LCM = 14506940
Thus, we can understand that the LCM of 524,452,490,131 is 14506940.
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FAQs on LCM of 524, 452, 490, 131
1. What is the LCM of 524, 452, 490, 131?
Answer: LCM of 524, 452, 490, 131 is 14506940.
2. How to calculate the LCM of 524, 452, 490, 131?
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 524, 452, 490, 131.
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}.