LCM of 894, 621, 298, 909, 456
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 894, 621, 298, 909, 456 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 894, 621, 298, 909, 456. So, keep reading to learn more.
Given numbers are 894,621,298,909,456
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 894,621,298,909,456 is 1420505208.
Find LCM of 894,621,298,909,456 with Prime Factorization
| 2 | 894, 621, 298, 909, 456 |
| 3 | 447, 621, 149, 909, 228 |
| 3 | 149, 207, 149, 303, 76 |
| 149 | 149, 69, 149, 101, 76 |
| 1, 69, 1, 101, 76 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 149 x 1 x 69 x 1 x 101 x 76 = 1420505208
Therefore, the lowest common multiple of 894,621,298,909,456 is 1420505208.
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.
894 x 621 x 298 x 909 x 456 = 68576309421408
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.
894 : 1, 2, 3, 6, 149, 298, 447, 894
621 : 1, 3, 9, 23, 27, 69, 207, 621
298 : 1, 2, 149, 298
909 : 1, 3, 9, 101, 303, 909
456 : 1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 894,621,298,909,456, is 1.
Now, the common factors can be found like this.
894:2x 3x 149
621:3x 3x 3x 23
298:2x 149
909:3x 3x 101
456:2x 2x 2x 3x 19
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 3x 3x 3x 3x 149 = 48276
Therefore, the value for common factors is 48276.
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 = 68576309421408/(1x48276)
LCM = 68576309421408/48276
LCM = 1420505208
Thus, we can understand that the LCM of 894,621,298,909,456 is 1420505208.
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FAQs on LCM of 894, 621, 298, 909, 456
1. What is the LCM of 894, 621, 298, 909, 456?
Answer: LCM of 894, 621, 298, 909, 456 is 1420505208.
2. How to calculate the LCM of 894, 621, 298, 909, 456?
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 894, 621, 298, 909, 456.
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}.