LCM of 981, 732, 700, 208, 470
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 981, 732, 700, 208, 470 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 981, 732, 700, 208, 470. So, keep reading to learn more.
Given numbers are 981,732,700,208,470
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 981,732,700,208,470 is 102375982800.
Find LCM of 981,732,700,208,470 with Prime Factorization
| 2 | 981, 732, 700, 208, 470 |
| 2 | 981, 366, 350, 104, 235 |
| 3 | 981, 183, 175, 52, 235 |
| 5 | 327, 61, 175, 52, 235 |
| 327, 61, 35, 52, 47 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 327 x 61 x 35 x 52 x 47 = 102375982800
Therefore, the lowest common multiple of 981,732,700,208,470 is 102375982800.
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.
981 x 732 x 700 x 208 x 470 = 49140471744000
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.
981 : 1, 3, 9, 109, 327, 981
732 : 1, 2, 3, 4, 6, 12, 61, 122, 183, 244, 366, 732
700 : 1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 50, 70, 100, 140, 175, 350, 700
208 : 1, 2, 4, 8, 13, 16, 26, 52, 104, 208
470 : 1, 2, 5, 10, 47, 94, 235, 470
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 981,732,700,208,470, is 1.
Now, the common factors can be found like this.
981:3x 3x 109
732:2x 2x 3x 61
700:2x 2x 5x 5x 7
208:2x 2x 2x 2x 13
470:2x 5x 47
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 2x 3x 5 = 480
Therefore, the value for common factors is 480.
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 = 49140471744000/(1x480)
LCM = 49140471744000/480
LCM = 102375982800
Thus, we can understand that the LCM of 981,732,700,208,470 is 102375982800.
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FAQs on LCM of 981, 732, 700, 208, 470
1. What is the LCM of 981, 732, 700, 208, 470?
Answer: LCM of 981, 732, 700, 208, 470 is 102375982800.
2. How to calculate the LCM of 981, 732, 700, 208, 470?
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 981, 732, 700, 208, 470.
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}.