Find the LCM of 620, 202, 651, 957, 862 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 620, 202, 651, 957, 862. So, keep reading to learn more.
Given numbers are 620,202,651,957,862
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 620,202,651,957,862 is 180800784780.
Find LCM of 620,202,651,957,862 with Prime Factorization
2 | 620, 202, 651, 957, 862 |
3 | 310, 101, 651, 957, 431 |
31 | 310, 101, 217, 319, 431 |
10, 101, 7, 319, 431 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 31 x 10 x 101 x 7 x 319 x 431 = 180800784780
Therefore, the lowest common multiple of 620,202,651,957,862 is 180800784780.
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.
620 x 202 x 651 x 957 x 862 = 67257891938160
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.
620 : 1, 2, 4, 5, 10, 20, 31, 62, 124, 155, 310, 620
202 : 1, 2, 101, 202
651 : 1, 3, 7, 21, 31, 93, 217, 651
957 : 1, 3, 11, 29, 33, 87, 319, 957
862 : 1, 2, 431, 862
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 620,202,651,957,862, is 1.
Now, the common factors can be found like this.
620:2x 2x 5x 31
202:2x 101
651:3x 7x 31
957:3x 11x 29
862:2x 431
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 31 = 372
Therefore, the value for common factors is 372.
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 = 67257891938160/(1x372)
LCM = 67257891938160/372
LCM = 180800784780
Thus, we can understand that the LCM of 620,202,651,957,862 is 180800784780.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 620, 202, 651, 957, 862?
Answer: LCM of 620, 202, 651, 957, 862 is 180800784780.
2. How to calculate the LCM of 620, 202, 651, 957, 862?
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 620, 202, 651, 957, 862.
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}.