LCM of 327, 140, 654, 488, 924
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 327, 140, 654, 488, 924 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 327, 140, 654, 488, 924. So, keep reading to learn more.
Given numbers are 327,140,654,488,924
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 327,140,654,488,924 is 61436760.
Find LCM of 327,140,654,488,924 with Prime Factorization
| 2 | 327, 140, 654, 488, 924 |
| 2 | 327, 70, 327, 244, 462 |
| 3 | 327, 35, 327, 122, 231 |
| 7 | 109, 35, 109, 122, 77 |
| 109 | 109, 5, 109, 122, 11 |
| 1, 5, 1, 122, 11 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 7 x 109 x 1 x 5 x 1 x 122 x 11 = 61436760
Therefore, the lowest common multiple of 327,140,654,488,924 is 61436760.
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.
327 x 140 x 654 x 488 x 924 = 13500359389440
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.
327 : 1, 3, 109, 327
140 : 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140
654 : 1, 2, 3, 6, 109, 218, 327, 654
488 : 1, 2, 4, 8, 61, 122, 244, 488
924 : 1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 327,140,654,488,924, is 1.
Now, the common factors can be found like this.
327:3x 109
140:2x 2x 5x 7
654:2x 3x 109
488:2x 2x 2x 61
924:2x 2x 3x 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 2x 2x 3x 3x 7x 109 = 219744
Therefore, the value for common factors is 219744.
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 = 13500359389440/(1x219744)
LCM = 13500359389440/219744
LCM = 61436760
Thus, we can understand that the LCM of 327,140,654,488,924 is 61436760.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 327, 140, 654, 488, 924
1. What is the LCM of 327, 140, 654, 488, 924?
Answer: LCM of 327, 140, 654, 488, 924 is 61436760.
2. How to calculate the LCM of 327, 140, 654, 488, 924?
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 327, 140, 654, 488, 924.
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}.