LCM of 989, 940, 240, 430
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 989, 940, 240, 430 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, 940, 240, 430. So, keep reading to learn more.
Given numbers are 989,940,240,430
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 989,940,240,430 is 11155920.
Find LCM of 989,940,240,430 with Prime Factorization
| 2 | 989, 940, 240, 430 |
| 2 | 989, 470, 120, 215 |
| 5 | 989, 235, 60, 215 |
| 43 | 989, 47, 12, 43 |
| 23, 47, 12, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 5 x 43 x 23 x 47 x 12 x 1 = 11155920
Therefore, the lowest common multiple of 989,940,240,430 is 11155920.
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 940 x 240 x 430 = 95940912000
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
940 : 1, 2, 4, 5, 10, 20, 47, 94, 188, 235, 470, 940
240 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240
430 : 1, 2, 5, 10, 43, 86, 215, 430
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 989,940,240,430, is 1.
Now, the common factors can be found like this.
989:23x 43
940:2x 2x 5x 47
240:2x 2x 2x 2x 3x 5
430:2x 5x 43
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 5x 43 = 8600
Therefore, the value for common factors is 8600.
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 = 95940912000/(1x8600)
LCM = 95940912000/8600
LCM = 11155920
Thus, we can understand that the LCM of 989,940,240,430 is 11155920.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 989, 940, 240, 430
1. What is the LCM of 989, 940, 240, 430?
Answer: LCM of 989, 940, 240, 430 is 11155920.
2. How to calculate the LCM of 989, 940, 240, 430?
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, 940, 240, 430.
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}.