LCM of 411, 594, 654, 137
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 411, 594, 654, 137 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 411, 594, 654, 137. So, keep reading to learn more.
Given numbers are 411,594,654,137
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 411,594,654,137 is 8870202.
Find LCM of 411,594,654,137 with Prime Factorization
| 2 | 411, 594, 654, 137 |
| 3 | 411, 297, 327, 137 |
| 137 | 137, 99, 109, 137 |
| 1, 99, 109, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 137 x 1 x 99 x 109 x 1 = 8870202
Therefore, the lowest common multiple of 411,594,654,137 is 8870202.
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.
411 x 594 x 654 x 137 = 21873918132
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.
411 : 1, 3, 137, 411
594 : 1, 2, 3, 6, 9, 11, 18, 22, 27, 33, 54, 66, 99, 198, 297, 594
654 : 1, 2, 3, 6, 109, 218, 327, 654
137 : 1, 137
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 411,594,654,137, is 1.
Now, the common factors can be found like this.
411:3x 137
594:2x 3x 3x 3x 11
654:2x 3x 109
137:137
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 3x 137 = 2466
Therefore, the value for common factors is 2466.
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 = 21873918132/(1x2466)
LCM = 21873918132/2466
LCM = 8870202
Thus, we can understand that the LCM of 411,594,654,137 is 8870202.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 411, 594, 654, 137
1. What is the LCM of 411, 594, 654, 137?
Answer: LCM of 411, 594, 654, 137 is 8870202.
2. How to calculate the LCM of 411, 594, 654, 137?
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 411, 594, 654, 137.
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}.