LCM of 157, 783, 519, 981, 423
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 157, 783, 519, 981, 423 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 157, 783, 519, 981, 423. So, keep reading to learn more.
Given numbers are 157,783,519,981,423
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 157,783,519,981,423 is 108951163749.
Find LCM of 157,783,519,981,423 with Prime Factorization
| 3 | 157, 783, 519, 981, 423 |
| 3 | 157, 261, 173, 327, 141 |
| 157, 87, 173, 109, 47 |
Multiply the prime numbers at the bottom and the left side.
3 x 3 x 157 x 87 x 173 x 109 x 47 = 108951163749
Therefore, the lowest common multiple of 157,783,519,981,423 is 108951163749.
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.
157 x 783 x 519 x 981 x 423 = 26475132791007
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.
157 : 1, 157
783 : 1, 3, 9, 27, 29, 87, 261, 783
519 : 1, 3, 173, 519
981 : 1, 3, 9, 109, 327, 981
423 : 1, 3, 9, 47, 141, 423
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 157,783,519,981,423, is 1.
Now, the common factors can be found like this.
157:157
783:3x 3x 3x 29
519:3x 173
981:3x 3x 109
423:3x 3x 47
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3x 3x 3x 3 = 243
Therefore, the value for common factors is 243.
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 = 26475132791007/(1x243)
LCM = 26475132791007/243
LCM = 108951163749
Thus, we can understand that the LCM of 157,783,519,981,423 is 108951163749.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 157, 783, 519, 981, 423
1. What is the LCM of 157, 783, 519, 981, 423?
Answer: LCM of 157, 783, 519, 981, 423 is 108951163749.
2. How to calculate the LCM of 157, 783, 519, 981, 423?
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 157, 783, 519, 981, 423.
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}.