Find the LCM of 528, 721, 660, 167, 129 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 528, 721, 660, 167, 129. So, keep reading to learn more.
Given numbers are 528,721,660,167,129
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 528,721,660,167,129 is 13668602640.
Find LCM of 528,721,660,167,129 with Prime Factorization
2 | 528, 721, 660, 167, 129 |
2 | 264, 721, 330, 167, 129 |
3 | 132, 721, 165, 167, 129 |
11 | 44, 721, 55, 167, 43 |
4, 721, 5, 167, 43 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 11 x 4 x 721 x 5 x 167 x 43 = 13668602640
Therefore, the lowest common multiple of 528,721,660,167,129 is 13668602640.
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.
528 x 721 x 660 x 167 x 129 = 5412766645440
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.
528 : 1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 88, 132, 176, 264, 528
721 : 1, 7, 103, 721
660 : 1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660
167 : 1, 167
129 : 1, 3, 43, 129
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 528,721,660,167,129, is 1.
Now, the common factors can be found like this.
528:2x 2x 2x 2x 3x 11
721:7x 103
660:2x 2x 3x 5x 11
167:167
129:3x 43
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 3x 3x 11 = 396
Therefore, the value for common factors is 396.
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 = 5412766645440/(1x396)
LCM = 5412766645440/396
LCM = 13668602640
Thus, we can understand that the LCM of 528,721,660,167,129 is 13668602640.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 528, 721, 660, 167, 129?
Answer: LCM of 528, 721, 660, 167, 129 is 13668602640.
2. How to calculate the LCM of 528, 721, 660, 167, 129?
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 528, 721, 660, 167, 129.
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}.