LCM of 186, 462, 774, 553, 154
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 186, 462, 774, 553, 154 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 186, 462, 774, 553, 154. So, keep reading to learn more.
Given numbers are 186,462,774,553,154
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 186,462,774,553,154 is 145955502.
Find LCM of 186,462,774,553,154 with Prime Factorization
| 2 | 186, 462, 774, 553, 154 |
| 3 | 93, 231, 387, 553, 77 |
| 7 | 31, 77, 129, 553, 77 |
| 11 | 31, 11, 129, 79, 11 |
| 31, 1, 129, 79, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 7 x 11 x 31 x 1 x 129 x 79 x 1 = 145955502
Therefore, the lowest common multiple of 186,462,774,553,154 is 145955502.
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.
186 x 462 x 774 x 553 x 154 = 5664241121616
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.
186 : 1, 2, 3, 6, 31, 62, 93, 186
462 : 1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462
774 : 1, 2, 3, 6, 9, 18, 43, 86, 129, 258, 387, 774
553 : 1, 7, 79, 553
154 : 1, 2, 7, 11, 14, 22, 77, 154
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 186,462,774,553,154, is 1.
Now, the common factors can be found like this.
186:2x 3x 31
462:2x 3x 7x 11
774:2x 3x 3x 43
553:7x 79
154:2x 7x 11
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 3x 3x 7x 7x 11 = 38808
Therefore, the value for common factors is 38808.
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 = 5664241121616/(1x38808)
LCM = 5664241121616/38808
LCM = 145955502
Thus, we can understand that the LCM of 186,462,774,553,154 is 145955502.
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FAQs on LCM of 186, 462, 774, 553, 154
1. What is the LCM of 186, 462, 774, 553, 154?
Answer: LCM of 186, 462, 774, 553, 154 is 145955502.
2. How to calculate the LCM of 186, 462, 774, 553, 154?
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 186, 462, 774, 553, 154.
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}.