LCM of 456, 824, 754, 802, 168
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 456, 824, 754, 802, 168 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 456, 824, 754, 802, 168. So, keep reading to learn more.
Given numbers are 456,824,754,802,168
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 456,824,754,802,168 is 49703369352.
Find LCM of 456,824,754,802,168 with Prime Factorization
| 2 | 456, 824, 754, 802, 168 |
| 2 | 228, 412, 377, 401, 84 |
| 2 | 114, 206, 377, 401, 42 |
| 3 | 57, 103, 377, 401, 21 |
| 19, 103, 377, 401, 7 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 19 x 103 x 377 x 401 x 7 = 49703369352
Therefore, the lowest common multiple of 456,824,754,802,168 is 49703369352.
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.
456 x 824 x 754 x 802 x 168 = 38172187662336
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.
456 : 1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456
824 : 1, 2, 4, 8, 103, 206, 412, 824
754 : 1, 2, 13, 26, 29, 58, 377, 754
802 : 1, 2, 401, 802
168 : 1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 456,824,754,802,168, is 2.
Now, the common factors can be found like this.
456:2x 2x 2x 3x 19
824:2x 2x 2x 103
754:2x 13x 29
802:2x 401
168:2x 2x 2x 3x 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 2x 2x 2x 2x 2x 2x 3 = 384
Therefore, the value for common factors is 384.
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 = 38172187662336/(2x384)
LCM = 38172187662336/768
LCM = 49703369352
Thus, we can understand that the LCM of 456,824,754,802,168 is 49703369352.
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FAQs on LCM of 456, 824, 754, 802, 168
1. What is the LCM of 456, 824, 754, 802, 168?
Answer: LCM of 456, 824, 754, 802, 168 is 49703369352.
2. How to calculate the LCM of 456, 824, 754, 802, 168?
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 456, 824, 754, 802, 168.
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}.