LCM of 143, 618, 571, 938, 348
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 143, 618, 571, 938, 348 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, 618, 571, 938, 348. So, keep reading to learn more.
Given numbers are 143,618,571,938,348
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 143,618,571,938,348 is 1372655191908.
Find LCM of 143,618,571,938,348 with Prime Factorization
| 2 | 143, 618, 571, 938, 348 |
| 3 | 143, 309, 571, 469, 174 |
| 143, 103, 571, 469, 58 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 143 x 103 x 571 x 469 x 58 = 1372655191908
Therefore, the lowest common multiple of 143,618,571,938,348 is 1372655191908.
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 618 x 571 x 938 x 348 = 16471862302896
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
618 : 1, 2, 3, 6, 103, 206, 309, 618
571 : 1, 571
938 : 1, 2, 7, 14, 67, 134, 469, 938
348 : 1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 143,618,571,938,348, is 1.
Now, the common factors can be found like this.
143:11x 13
618:2x 3x 103
571:571
938:2x 7x 67
348:2x 2x 3x 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 2x 3 = 12
Therefore, the value for common factors is 12.
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 = 16471862302896/(1x12)
LCM = 16471862302896/12
LCM = 1372655191908
Thus, we can understand that the LCM of 143,618,571,938,348 is 1372655191908.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 143, 618, 571, 938, 348
1. What is the LCM of 143, 618, 571, 938, 348?
Answer: LCM of 143, 618, 571, 938, 348 is 1372655191908.
2. How to calculate the LCM of 143, 618, 571, 938, 348?
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, 618, 571, 938, 348.
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}.