Find the LCM of 203, 988, 490, 580, 733 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 203, 988, 490, 580, 733. So, keep reading to learn more.
Given numbers are 203,988,490,580,733
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 203,988,490,580,733 is 5145469420.
Find LCM of 203,988,490,580,733 with Prime Factorization
2 | 203, 988, 490, 580, 733 |
2 | 203, 494, 245, 290, 733 |
5 | 203, 247, 245, 145, 733 |
7 | 203, 247, 49, 29, 733 |
29 | 29, 247, 7, 29, 733 |
1, 247, 7, 1, 733 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 5 x 7 x 29 x 1 x 247 x 7 x 1 x 733 = 5145469420
Therefore, the lowest common multiple of 203,988,490,580,733 is 5145469420.
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.
203 x 988 x 490 x 580 x 733 = 41781211690400
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.
203 : 1, 7, 29, 203
988 : 1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988
490 : 1, 2, 5, 7, 10, 14, 35, 49, 70, 98, 245, 490
580 : 1, 2, 4, 5, 10, 20, 29, 58, 116, 145, 290, 580
733 : 1, 733
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 203,988,490,580,733, is 1.
Now, the common factors can be found like this.
203:7x 29
988:2x 2x 13x 19
490:2x 5x 7x 7
580:2x 2x 5x 29
733:733
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 5x 7x 29 = 8120
Therefore, the value for common factors is 8120.
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 = 41781211690400/(1x8120)
LCM = 41781211690400/8120
LCM = 5145469420
Thus, we can understand that the LCM of 203,988,490,580,733 is 5145469420.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 203, 988, 490, 580, 733?
Answer: LCM of 203, 988, 490, 580, 733 is 5145469420.
2. How to calculate the LCM of 203, 988, 490, 580, 733?
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 203, 988, 490, 580, 733.
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}.