LCM of 143, 248, 352, 372, 735
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 143, 248, 352, 372, 735 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, 248, 352, 372, 735. So, keep reading to learn more.
Given numbers are 143,248,352,372,735
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 143,248,352,372,735 is 104264160.
Find LCM of 143,248,352,372,735 with Prime Factorization
| 2 | 143, 248, 352, 372, 735 |
| 2 | 143, 124, 176, 186, 735 |
| 2 | 143, 62, 88, 93, 735 |
| 3 | 143, 31, 44, 93, 735 |
| 11 | 143, 31, 44, 31, 245 |
| 31 | 13, 31, 4, 31, 245 |
| 13, 1, 4, 1, 245 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 11 x 31 x 13 x 1 x 4 x 1 x 245 = 104264160
Therefore, the lowest common multiple of 143,248,352,372,735 is 104264160.
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 248 x 352 x 372 x 735 = 3413191541760
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
248 : 1, 2, 4, 8, 31, 62, 124, 248
352 : 1, 2, 4, 8, 11, 16, 22, 32, 44, 88, 176, 352
372 : 1, 2, 3, 4, 6, 12, 31, 62, 93, 124, 186, 372
735 : 1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 143,248,352,372,735, is 1.
Now, the common factors can be found like this.
143:11x 13
248:2x 2x 2x 31
352:2x 2x 2x 2x 2x 11
372:2x 2x 3x 31
735:3x 5x 7x 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 2x 2x 2x 3x 11x 31 = 32736
Therefore, the value for common factors is 32736.
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 = 3413191541760/(1x32736)
LCM = 3413191541760/32736
LCM = 104264160
Thus, we can understand that the LCM of 143,248,352,372,735 is 104264160.
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FAQs on LCM of 143, 248, 352, 372, 735
1. What is the LCM of 143, 248, 352, 372, 735?
Answer: LCM of 143, 248, 352, 372, 735 is 104264160.
2. How to calculate the LCM of 143, 248, 352, 372, 735?
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, 248, 352, 372, 735.
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}.