LCM of 361, 494, 854, 525
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 361, 494, 854, 525 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 361, 494, 854, 525. So, keep reading to learn more.
Given numbers are 361,494,854,525
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 361,494,854,525 is 300586650.
Find LCM of 361,494,854,525 with Prime Factorization
| 2 | 361, 494, 854, 525 |
| 7 | 361, 247, 427, 525 |
| 19 | 361, 247, 61, 75 |
| 19, 13, 61, 75 |
Multiply the prime numbers at the bottom and the left side.
2 x 7 x 19 x 19 x 13 x 61 x 75 = 300586650
Therefore, the lowest common multiple of 361,494,854,525 is 300586650.
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.
361 x 494 x 854 x 525 = 79956048900
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.
361 : 1, 19, 361
494 : 1, 2, 13, 19, 26, 38, 247, 494
854 : 1, 2, 7, 14, 61, 122, 427, 854
525 : 1, 3, 5, 7, 15, 21, 25, 35, 75, 105, 175, 525
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 361,494,854,525, is 1.
Now, the common factors can be found like this.
361:19x 19
494:2x 13x 19
854:2x 7x 61
525:3x 5x 5x 7
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 7x 19 = 266
Therefore, the value for common factors is 266.
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 = 79956048900/(1x266)
LCM = 79956048900/266
LCM = 300586650
Thus, we can understand that the LCM of 361,494,854,525 is 300586650.
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FAQs on LCM of 361, 494, 854, 525
1. What is the LCM of 361, 494, 854, 525?
Answer: LCM of 361, 494, 854, 525 is 300586650.
2. How to calculate the LCM of 361, 494, 854, 525?
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 361, 494, 854, 525.
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}.