LCM of 429, 450, 723, 972
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 429, 450, 723, 972 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 429, 450, 723, 972. So, keep reading to learn more.
Given numbers are 429,450,723,972
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 429,450,723,972 is 837450900.
Find LCM of 429,450,723,972 with Prime Factorization
| 2 | 429, 450, 723, 972 |
| 3 | 429, 225, 723, 486 |
| 3 | 143, 75, 241, 162 |
| 143, 25, 241, 54 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 143 x 25 x 241 x 54 = 837450900
Therefore, the lowest common multiple of 429,450,723,972 is 837450900.
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.
429 x 450 x 723 x 972 = 135667045800
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.
429 : 1, 3, 11, 13, 33, 39, 143, 429
450 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 45, 50, 75, 90, 150, 225, 450
723 : 1, 3, 241, 723
972 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972
3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 429,450,723,972, is 3.
Now, the common factors can be found like this.
429:3x 11x 13
450:2x 3x 3x 5x 5
723:3x 241
972:2x 2x 3x 3x 3x 3x 3
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 3x 3 = 54
Therefore, the value for common factors is 54.
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 = 135667045800/(3x54)
LCM = 135667045800/162
LCM = 837450900
Thus, we can understand that the LCM of 429,450,723,972 is 837450900.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 429, 450, 723, 972
1. What is the LCM of 429, 450, 723, 972?
Answer: LCM of 429, 450, 723, 972 is 837450900.
2. How to calculate the LCM of 429, 450, 723, 972?
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 429, 450, 723, 972.
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}.