LCM of 364, 524, 456, 986, 804
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 364, 524, 456, 986, 804 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 364, 524, 456, 986, 804. So, keep reading to learn more.
Given numbers are 364,524,456,986,804
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 364,524,456,986,804 is 179555723256.
Find LCM of 364,524,456,986,804 with Prime Factorization
| 2 | 364, 524, 456, 986, 804 |
| 2 | 182, 262, 228, 493, 402 |
| 3 | 91, 131, 114, 493, 201 |
| 91, 131, 38, 493, 67 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 91 x 131 x 38 x 493 x 67 = 179555723256
Therefore, the lowest common multiple of 364,524,456,986,804 is 179555723256.
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.
364 x 524 x 456 x 986 x 804 = 68949397730304
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.
364 : 1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364
524 : 1, 2, 4, 131, 262, 524
456 : 1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456
986 : 1, 2, 17, 29, 34, 58, 493, 986
804 : 1, 2, 3, 4, 6, 12, 67, 134, 201, 268, 402, 804
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 364,524,456,986,804, is 2.
Now, the common factors can be found like this.
364:2x 2x 7x 13
524:2x 2x 131
456:2x 2x 2x 3x 19
986:2x 17x 29
804:2x 2x 3x 67
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 2x 2x 3 = 192
Therefore, the value for common factors is 192.
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 = 68949397730304/(2x192)
LCM = 68949397730304/384
LCM = 179555723256
Thus, we can understand that the LCM of 364,524,456,986,804 is 179555723256.
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FAQs on LCM of 364, 524, 456, 986, 804
1. What is the LCM of 364, 524, 456, 986, 804?
Answer: LCM of 364, 524, 456, 986, 804 is 179555723256.
2. How to calculate the LCM of 364, 524, 456, 986, 804?
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 364, 524, 456, 986, 804.
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}.