LCM of 302, 825, 759, 438
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 302, 825, 759, 438 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 302, 825, 759, 438. So, keep reading to learn more.
Given numbers are 302,825,759,438
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 302,825,759,438 is 418322850.
Find LCM of 302,825,759,438 with Prime Factorization
| 2 | 302, 825, 759, 438 |
| 3 | 151, 825, 759, 219 |
| 11 | 151, 275, 253, 73 |
| 151, 25, 23, 73 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 11 x 151 x 25 x 23 x 73 = 418322850
Therefore, the lowest common multiple of 302,825,759,438 is 418322850.
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.
302 x 825 x 759 x 438 = 82827924300
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.
302 : 1, 2, 151, 302
825 : 1, 3, 5, 11, 15, 25, 33, 55, 75, 165, 275, 825
759 : 1, 3, 11, 23, 33, 69, 253, 759
438 : 1, 2, 3, 6, 73, 146, 219, 438
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 302,825,759,438, is 1.
Now, the common factors can be found like this.
302:2x 151
825:3x 5x 5x 11
759:3x 11x 23
438:2x 3x 73
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 11 = 198
Therefore, the value for common factors is 198.
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 = 82827924300/(1x198)
LCM = 82827924300/198
LCM = 418322850
Thus, we can understand that the LCM of 302,825,759,438 is 418322850.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 302, 825, 759, 438
1. What is the LCM of 302, 825, 759, 438?
Answer: LCM of 302, 825, 759, 438 is 418322850.
2. How to calculate the LCM of 302, 825, 759, 438?
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 302, 825, 759, 438.
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}.