LCM of 153, 438, 639, 323
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 153, 438, 639, 323 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 153, 438, 639, 323. So, keep reading to learn more.
Given numbers are 153,438,639,323
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 153,438,639,323 is 30133962.
Find LCM of 153,438,639,323 with Prime Factorization
| 3 | 153, 438, 639, 323 |
| 3 | 51, 146, 213, 323 |
| 17 | 17, 146, 71, 323 |
| 1, 146, 71, 19 |
Multiply the prime numbers at the bottom and the left side.
3 x 3 x 17 x 1 x 146 x 71 x 19 = 30133962
Therefore, the lowest common multiple of 153,438,639,323 is 30133962.
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.
153 x 438 x 639 x 323 = 13831488558
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.
153 : 1, 3, 9, 17, 51, 153
438 : 1, 2, 3, 6, 73, 146, 219, 438
639 : 1, 3, 9, 71, 213, 639
323 : 1, 17, 19, 323
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 153,438,639,323, is 1.
Now, the common factors can be found like this.
153:3x 3x 17
438:2x 3x 73
639:3x 3x 71
323:17x 19
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 17 = 459
Therefore, the value for common factors is 459.
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 = 13831488558/(1x459)
LCM = 13831488558/459
LCM = 30133962
Thus, we can understand that the LCM of 153,438,639,323 is 30133962.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 153, 438, 639, 323
1. What is the LCM of 153, 438, 639, 323?
Answer: LCM of 153, 438, 639, 323 is 30133962.
2. How to calculate the LCM of 153, 438, 639, 323?
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 153, 438, 639, 323.
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}.