LCM of 308, 892, 623, 247, 400
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 308, 892, 623, 247, 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 308, 892, 623, 247, 400. So, keep reading to learn more.
Given numbers are 308,892,623,247,400
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 308,892,623,247,400 is 150988037200.
Find LCM of 308,892,623,247,400 with Prime Factorization
| 2 | 308, 892, 623, 247, 400 |
| 2 | 154, 446, 623, 247, 200 |
| 7 | 77, 223, 623, 247, 100 |
| 11, 223, 89, 247, 100 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 7 x 11 x 223 x 89 x 247 x 100 = 150988037200
Therefore, the lowest common multiple of 308,892,623,247,400 is 150988037200.
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.
308 x 892 x 623 x 247 x 400 = 16910660166400
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.
308 : 1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308
892 : 1, 2, 4, 223, 446, 892
623 : 1, 7, 89, 623
247 : 1, 13, 19, 247
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 308,892,623,247,400, is 1.
Now, the common factors can be found like this.
308:2x 2x 7x 11
892:2x 2x 223
623:7x 89
247:13x 19
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 7 = 112
Therefore, the value for common factors is 112.
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 = 16910660166400/(1x112)
LCM = 16910660166400/112
LCM = 150988037200
Thus, we can understand that the LCM of 308,892,623,247,400 is 150988037200.
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FAQs on LCM of 308, 892, 623, 247, 400
1. What is the LCM of 308, 892, 623, 247, 400?
Answer: LCM of 308, 892, 623, 247, 400 is 150988037200.
2. How to calculate the LCM of 308, 892, 623, 247, 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 308, 892, 623, 247, 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}.