LCM of 186, 594, 186, 578, 153
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 186, 594, 186, 578, 153 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, 594, 186, 578, 153. So, keep reading to learn more.
Given numbers are 186,594,186,578,153
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 186,594,186,578,153 is 5321646.
Find LCM of 186,594,186,578,153 with Prime Factorization
| 2 | 186, 594, 186, 578, 153 |
| 3 | 93, 297, 93, 289, 153 |
| 3 | 31, 99, 31, 289, 51 |
| 17 | 31, 33, 31, 289, 17 |
| 31 | 31, 33, 31, 1, 17 |
| 1, 33, 1, 1, 17 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 17 x 31 x 1 x 33 x 1 x 1 x 17 = 5321646
Therefore, the lowest common multiple of 186,594,186,578,153 is 5321646.
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 594 x 186 x 578 x 153 = 1817320822416
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
594 : 1, 2, 3, 6, 9, 11, 18, 22, 27, 33, 54, 66, 99, 198, 297, 594
186 : 1, 2, 3, 6, 31, 62, 93, 186
578 : 1, 2, 17, 34, 289, 578
153 : 1, 3, 9, 17, 51, 153
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 186,594,186,578,153, is 1.
Now, the common factors can be found like this.
186:2x 3x 31
594:2x 3x 3x 3x 11
186:2x 3x 31
578:2x 17x 17
153:3x 3x 17
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 3x 3x 17x 31 = 341496
Therefore, the value for common factors is 341496.
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 = 1817320822416/(1x341496)
LCM = 1817320822416/341496
LCM = 5321646
Thus, we can understand that the LCM of 186,594,186,578,153 is 5321646.
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FAQs on LCM of 186, 594, 186, 578, 153
1. What is the LCM of 186, 594, 186, 578, 153?
Answer: LCM of 186, 594, 186, 578, 153 is 5321646.
2. How to calculate the LCM of 186, 594, 186, 578, 153?
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, 594, 186, 578, 153.
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}.