LCM of 142, 127, 353, 381, 406
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 142, 127, 353, 381, 406 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 142, 127, 353, 381, 406. So, keep reading to learn more.
Given numbers are 142,127,353,381,406
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 142,127,353,381,406 is 3876895218.
Find LCM of 142,127,353,381,406 with Prime Factorization
| 2 | 142, 127, 353, 381, 406 |
| 127 | 71, 127, 353, 381, 203 |
| 71, 1, 353, 3, 203 |
Multiply the prime numbers at the bottom and the left side.
2 x 127 x 71 x 1 x 353 x 3 x 203 = 3876895218
Therefore, the lowest common multiple of 142,127,353,381,406 is 3876895218.
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.
142 x 127 x 353 x 381 x 406 = 984731385372
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.
142 : 1, 2, 71, 142
127 : 1, 127
353 : 1, 353
381 : 1, 3, 127, 381
406 : 1, 2, 7, 14, 29, 58, 203, 406
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 142,127,353,381,406, is 1.
Now, the common factors can be found like this.
142:2x 71
127:127
353:353
381:3x 127
406:2x 7x 29
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 127 = 254
Therefore, the value for common factors is 254.
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 = 984731385372/(1x254)
LCM = 984731385372/254
LCM = 3876895218
Thus, we can understand that the LCM of 142,127,353,381,406 is 3876895218.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 142, 127, 353, 381, 406
1. What is the LCM of 142, 127, 353, 381, 406?
Answer: LCM of 142, 127, 353, 381, 406 is 3876895218.
2. How to calculate the LCM of 142, 127, 353, 381, 406?
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 142, 127, 353, 381, 406.
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}.