LCM of 435, 759, 823, 150
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 435, 759, 823, 150 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 435, 759, 823, 150. So, keep reading to learn more.
Given numbers are 435,759,823,150
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 435,759,823,150 is 905752650.
Find LCM of 435,759,823,150 with Prime Factorization
| 3 | 435, 759, 823, 150 |
| 5 | 145, 253, 823, 50 |
| 29, 253, 823, 10 |
Multiply the prime numbers at the bottom and the left side.
3 x 5 x 29 x 253 x 823 x 10 = 905752650
Therefore, the lowest common multiple of 435,759,823,150 is 905752650.
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.
435 x 759 x 823 x 150 = 40758869250
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.
435 : 1, 3, 5, 15, 29, 87, 145, 435
759 : 1, 3, 11, 23, 33, 69, 253, 759
823 : 1, 823
150 : 1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 435,759,823,150, is 1.
Now, the common factors can be found like this.
435:3x 5x 29
759:3x 11x 23
823:823
150:2x 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.
3x 3x 5 = 45
Therefore, the value for common factors is 45.
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 = 40758869250/(1x45)
LCM = 40758869250/45
LCM = 905752650
Thus, we can understand that the LCM of 435,759,823,150 is 905752650.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 435, 759, 823, 150
1. What is the LCM of 435, 759, 823, 150?
Answer: LCM of 435, 759, 823, 150 is 905752650.
2. How to calculate the LCM of 435, 759, 823, 150?
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 435, 759, 823, 150.
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}.