LCM of 228, 402, 143, 224, 331
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 228, 402, 143, 224, 331 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 228, 402, 143, 224, 331. So, keep reading to learn more.
Given numbers are 228,402,143,224,331
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 228,402,143,224,331 is 40491298848.
Find LCM of 228,402,143,224,331 with Prime Factorization
| 2 | 228, 402, 143, 224, 331 |
| 2 | 114, 201, 143, 112, 331 |
| 3 | 57, 201, 143, 56, 331 |
| 19, 67, 143, 56, 331 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 19 x 67 x 143 x 56 x 331 = 40491298848
Therefore, the lowest common multiple of 228,402,143,224,331 is 40491298848.
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.
228 x 402 x 143 x 224 x 331 = 971791172352
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.
228 : 1, 2, 3, 4, 6, 12, 19, 38, 57, 76, 114, 228
402 : 1, 2, 3, 6, 67, 134, 201, 402
143 : 1, 11, 13, 143
224 : 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 112, 224
331 : 1, 331
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 228,402,143,224,331, is 1.
Now, the common factors can be found like this.
228:2x 2x 3x 19
402:2x 3x 67
143:11x 13
224:2x 2x 2x 2x 2x 7
331:331
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 2x 3 = 24
Therefore, the value for common factors is 24.
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 = 971791172352/(1x24)
LCM = 971791172352/24
LCM = 40491298848
Thus, we can understand that the LCM of 228,402,143,224,331 is 40491298848.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 228, 402, 143, 224, 331
1. What is the LCM of 228, 402, 143, 224, 331?
Answer: LCM of 228, 402, 143, 224, 331 is 40491298848.
2. How to calculate the LCM of 228, 402, 143, 224, 331?
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 228, 402, 143, 224, 331.
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}.