LCM of 203, 934, 464, 567, 378
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 203, 934, 464, 567, 378 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 203, 934, 464, 567, 378. So, keep reading to learn more.
Given numbers are 203,934,464,567,378
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 203,934,464,567,378 is 122862096.
Find LCM of 203,934,464,567,378 with Prime Factorization
| 2 | 203, 934, 464, 567, 378 |
| 3 | 203, 467, 232, 567, 189 |
| 3 | 203, 467, 232, 63, 189 |
| 3 | 203, 467, 232, 21, 63 |
| 7 | 203, 467, 232, 7, 21 |
| 29 | 29, 467, 232, 1, 3 |
| 1, 467, 8, 1, 3 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 3 x 7 x 29 x 1 x 467 x 8 x 1 x 3 = 122862096
Therefore, the lowest common multiple of 203,934,464,567,378 is 122862096.
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.
203 x 934 x 464 x 567 x 378 = 18855400148928
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.
203 : 1, 7, 29, 203
934 : 1, 2, 467, 934
464 : 1, 2, 4, 8, 16, 29, 58, 116, 232, 464
567 : 1, 3, 7, 9, 21, 27, 63, 81, 189, 567
378 : 1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 203,934,464,567,378, is 1.
Now, the common factors can be found like this.
203:7x 29
934:2x 467
464:2x 2x 2x 2x 29
567:3x 3x 3x 3x 7
378:2x 3x 3x 3x 7
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2x 3x 3x 3x 7x 7x 29 = 153468
Therefore, the value for common factors is 153468.
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 = 18855400148928/(1x153468)
LCM = 18855400148928/153468
LCM = 122862096
Thus, we can understand that the LCM of 203,934,464,567,378 is 122862096.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 203, 934, 464, 567, 378
1. What is the LCM of 203, 934, 464, 567, 378?
Answer: LCM of 203, 934, 464, 567, 378 is 122862096.
2. How to calculate the LCM of 203, 934, 464, 567, 378?
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 203, 934, 464, 567, 378.
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}.