Find the LCM of 143, 306, 231, 884, 373 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 143, 306, 231, 884, 373. So, keep reading to learn more.
Given numbers are 143,306,231,884,373
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 143,306,231,884,373 is 228504276.
Find LCM of 143,306,231,884,373 with Prime Factorization
2 | 143, 306, 231, 884, 373 |
3 | 143, 153, 231, 442, 373 |
11 | 143, 51, 77, 442, 373 |
13 | 13, 51, 7, 442, 373 |
17 | 1, 51, 7, 34, 373 |
1, 3, 7, 2, 373 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 11 x 13 x 17 x 1 x 3 x 7 x 2 x 373 = 228504276
Therefore, the lowest common multiple of 143,306,231,884,373 is 228504276.
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.
143 x 306 x 231 x 884 x 373 = 3332963369736
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.
143 : 1, 11, 13, 143
306 : 1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 306
231 : 1, 3, 7, 11, 21, 33, 77, 231
884 : 1, 2, 4, 13, 17, 26, 34, 52, 68, 221, 442, 884
373 : 1, 373
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 143,306,231,884,373, is 1.
Now, the common factors can be found like this.
143:11x 13
306:2x 3x 3x 17
231:3x 7x 11
884:2x 2x 13x 17
373:373
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 11x 13x 17 = 14586
Therefore, the value for common factors is 14586.
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 = 3332963369736/(1x14586)
LCM = 3332963369736/14586
LCM = 228504276
Thus, we can understand that the LCM of 143,306,231,884,373 is 228504276.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 143, 306, 231, 884, 373?
Answer: LCM of 143, 306, 231, 884, 373 is 228504276.
2. How to calculate the LCM of 143, 306, 231, 884, 373?
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 143, 306, 231, 884, 373.
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}.