LCM of 932, 145, 986, 736, 450
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 932, 145, 986, 736, 450 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 932, 145, 986, 736, 450. So, keep reading to learn more.
Given numbers are 932,145,986,736,450
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 932,145,986,736,450 is 19022306400.
Find LCM of 932,145,986,736,450 with Prime Factorization
| 2 | 932, 145, 986, 736, 450 |
| 2 | 466, 145, 493, 368, 225 |
| 5 | 233, 145, 493, 184, 225 |
| 29 | 233, 29, 493, 184, 45 |
| 233, 1, 17, 184, 45 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 5 x 29 x 233 x 1 x 17 x 184 x 45 = 19022306400
Therefore, the lowest common multiple of 932,145,986,736,450 is 19022306400.
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.
932 x 145 x 986 x 736 x 450 = 44131750848000
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.
932 : 1, 2, 4, 233, 466, 932
145 : 1, 5, 29, 145
986 : 1, 2, 17, 29, 34, 58, 493, 986
736 : 1, 2, 4, 8, 16, 23, 32, 46, 92, 184, 368, 736
450 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 45, 50, 75, 90, 150, 225, 450
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 932,145,986,736,450, is 1.
Now, the common factors can be found like this.
932:2x 2x 233
145:5x 29
986:2x 17x 29
736:2x 2x 2x 2x 2x 23
450:2x 3x 3x 5x 5
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 2x 5x 29 = 2320
Therefore, the value for common factors is 2320.
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 = 44131750848000/(1x2320)
LCM = 44131750848000/2320
LCM = 19022306400
Thus, we can understand that the LCM of 932,145,986,736,450 is 19022306400.
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FAQs on LCM of 932, 145, 986, 736, 450
1. What is the LCM of 932, 145, 986, 736, 450?
Answer: LCM of 932, 145, 986, 736, 450 is 19022306400.
2. How to calculate the LCM of 932, 145, 986, 736, 450?
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 932, 145, 986, 736, 450.
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}.