Find the LCM of 143, 759, 222, 520, 138 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 143, 759, 222, 520, 138. So, keep reading to learn more.
Given numbers are 143,759,222,520,138
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 143,759,222,520,138 is 14603160.
Find LCM of 143,759,222,520,138 with Prime Factorization
2 | 143, 759, 222, 520, 138 |
3 | 143, 759, 111, 260, 69 |
11 | 143, 253, 37, 260, 23 |
13 | 13, 23, 37, 260, 23 |
23 | 1, 23, 37, 20, 23 |
1, 1, 37, 20, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 11 x 13 x 23 x 1 x 1 x 37 x 20 x 1 = 14603160
Therefore, the lowest common multiple of 143,759,222,520,138 is 14603160.
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.
143 x 759 x 222 x 520 x 138 = 1729072556640
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.
143 : 1, 11, 13, 143
759 : 1, 3, 11, 23, 33, 69, 253, 759
222 : 1, 2, 3, 6, 37, 74, 111, 222
520 : 1, 2, 4, 5, 8, 10, 13, 20, 26, 40, 52, 65, 104, 130, 260, 520
138 : 1, 2, 3, 6, 23, 46, 69, 138
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 143,759,222,520,138, is 1.
Now, the common factors can be found like this.
143:11x 13
759:3x 11x 23
222:2x 3x 37
520:2x 2x 2x 5x 13
138:2x 3x 23
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 11x 13x 23 = 118404
Therefore, the value for common factors is 118404.
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 = 1729072556640/(1x118404)
LCM = 1729072556640/118404
LCM = 14603160
Thus, we can understand that the LCM of 143,759,222,520,138 is 14603160.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 143, 759, 222, 520, 138?
Answer: LCM of 143, 759, 222, 520, 138 is 14603160.
2. How to calculate the LCM of 143, 759, 222, 520, 138?
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 143, 759, 222, 520, 138.
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}.