LCM of 989, 575, 935, 220
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 989, 575, 935, 220 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 989, 575, 935, 220. So, keep reading to learn more.
Given numbers are 989,575,935,220
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 989,575,935,220 is 18494300.
Find LCM of 989,575,935,220 with Prime Factorization
| 5 | 989, 575, 935, 220 |
| 11 | 989, 115, 187, 44 |
| 23 | 989, 115, 17, 4 |
| 43, 5, 17, 4 |
Multiply the prime numbers at the bottom and the left side.
5 x 11 x 23 x 43 x 5 x 17 x 4 = 18494300
Therefore, the lowest common multiple of 989,575,935,220 is 18494300.
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.
989 x 575 x 935 x 220 = 116976447500
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.
989 : 1, 23, 43, 989
575 : 1, 5, 23, 25, 115, 575
935 : 1, 5, 11, 17, 55, 85, 187, 935
220 : 1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 989,575,935,220, is 1.
Now, the common factors can be found like this.
989:23x 43
575:5x 5x 23
935:5x 11x 17
220:2x 2x 5x 11
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
5x 5x 11x 23 = 6325
Therefore, the value for common factors is 6325.
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 = 116976447500/(1x6325)
LCM = 116976447500/6325
LCM = 18494300
Thus, we can understand that the LCM of 989,575,935,220 is 18494300.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 989, 575, 935, 220
1. What is the LCM of 989, 575, 935, 220?
Answer: LCM of 989, 575, 935, 220 is 18494300.
2. How to calculate the LCM of 989, 575, 935, 220?
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 989, 575, 935, 220.
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}.