Find the LCM of 310, 987, 429, 141, 340 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 310, 987, 429, 141, 340. So, keep reading to learn more.
Given numbers are 310,987,429,141,340
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 310,987,429,141,340 is 1487626140.
Find LCM of 310,987,429,141,340 with Prime Factorization
2 | 310, 987, 429, 141, 340 |
3 | 155, 987, 429, 141, 170 |
5 | 155, 329, 143, 47, 170 |
47 | 31, 329, 143, 47, 34 |
31, 7, 143, 1, 34 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 47 x 31 x 7 x 143 x 1 x 34 = 1487626140
Therefore, the lowest common multiple of 310,987,429,141,340 is 1487626140.
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.
310 x 987 x 429 x 141 x 340 = 6292658572200
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.
310 : 1, 2, 5, 10, 31, 62, 155, 310
987 : 1, 3, 7, 21, 47, 141, 329, 987
429 : 1, 3, 11, 13, 33, 39, 143, 429
141 : 1, 3, 47, 141
340 : 1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 340
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 310,987,429,141,340, is 1.
Now, the common factors can be found like this.
310:2x 5x 31
987:3x 7x 47
429:3x 11x 13
141:3x 47
340:2x 2x 5x 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 3x 3x 5x 47 = 4230
Therefore, the value for common factors is 4230.
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 = 6292658572200/(1x4230)
LCM = 6292658572200/4230
LCM = 1487626140
Thus, we can understand that the LCM of 310,987,429,141,340 is 1487626140.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 310, 987, 429, 141, 340?
Answer: LCM of 310, 987, 429, 141, 340 is 1487626140.
2. How to calculate the LCM of 310, 987, 429, 141, 340?
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 310, 987, 429, 141, 340.
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}.