LCM of 462, 498, 158, 196, 912
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 462, 498, 158, 196, 912 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 462, 498, 158, 196, 912. So, keep reading to learn more.
Given numbers are 462,498,158,196,912
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 462,498,158,196,912 is 3223211376.
Find LCM of 462,498,158,196,912 with Prime Factorization
| 2 | 462, 498, 158, 196, 912 |
| 2 | 231, 249, 79, 98, 456 |
| 3 | 231, 249, 79, 49, 228 |
| 7 | 77, 83, 79, 49, 76 |
| 11, 83, 79, 7, 76 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 7 x 11 x 83 x 79 x 7 x 76 = 3223211376
Therefore, the lowest common multiple of 462,498,158,196,912 is 3223211376.
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.
462 x 498 x 158 x 196 x 912 = 6497994134016
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.
462 : 1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462
498 : 1, 2, 3, 6, 83, 166, 249, 498
158 : 1, 2, 79, 158
196 : 1, 2, 4, 7, 14, 28, 49, 98, 196
912 : 1, 2, 3, 4, 6, 8, 12, 16, 19, 24, 38, 48, 57, 76, 114, 152, 228, 304, 456, 912
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 462,498,158,196,912, is 2.
Now, the common factors can be found like this.
462:2x 3x 7x 11
498:2x 3x 83
158:2x 79
196:2x 2x 7x 7
912:2x 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 2x 2x 3x 3x 7 = 1008
Therefore, the value for common factors is 1008.
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 = 6497994134016/(2x1008)
LCM = 6497994134016/2016
LCM = 3223211376
Thus, we can understand that the LCM of 462,498,158,196,912 is 3223211376.
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FAQs on LCM of 462, 498, 158, 196, 912
1. What is the LCM of 462, 498, 158, 196, 912?
Answer: LCM of 462, 498, 158, 196, 912 is 3223211376.
2. How to calculate the LCM of 462, 498, 158, 196, 912?
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 462, 498, 158, 196, 912.
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}.