LCM of 369, 442, 848, 371, 251
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 369, 442, 848, 371, 251 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 369, 442, 848, 371, 251. So, keep reading to learn more.
Given numbers are 369,442,848,371,251
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 369,442,848,371,251 is 121502790864.
Find LCM of 369,442,848,371,251 with Prime Factorization
| 2 | 369, 442, 848, 371, 251 |
| 53 | 369, 221, 424, 371, 251 |
| 369, 221, 8, 7, 251 |
Multiply the prime numbers at the bottom and the left side.
2 x 53 x 369 x 221 x 8 x 7 x 251 = 121502790864
Therefore, the lowest common multiple of 369,442,848,371,251 is 121502790864.
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.
369 x 442 x 848 x 371 x 251 = 12879295831584
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.
369 : 1, 3, 9, 41, 123, 369
442 : 1, 2, 13, 17, 26, 34, 221, 442
848 : 1, 2, 4, 8, 16, 53, 106, 212, 424, 848
371 : 1, 7, 53, 371
251 : 1, 251
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 369,442,848,371,251, is 1.
Now, the common factors can be found like this.
369:3x 3x 41
442:2x 13x 17
848:2x 2x 2x 2x 53
371:7x 53
251:251
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 53 = 106
Therefore, the value for common factors is 106.
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 = 12879295831584/(1x106)
LCM = 12879295831584/106
LCM = 121502790864
Thus, we can understand that the LCM of 369,442,848,371,251 is 121502790864.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 369, 442, 848, 371, 251
1. What is the LCM of 369, 442, 848, 371, 251?
Answer: LCM of 369, 442, 848, 371, 251 is 121502790864.
2. How to calculate the LCM of 369, 442, 848, 371, 251?
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 369, 442, 848, 371, 251.
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}.