LCM of 422, 544, 247, 848, 391
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 422, 544, 247, 848, 391 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 422, 544, 247, 848, 391. So, keep reading to learn more.
Given numbers are 422,544,247,848,391
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 422,544,247,848,391 is 34560658912.
Find LCM of 422,544,247,848,391 with Prime Factorization
| 2 | 422, 544, 247, 848, 391 |
| 2 | 211, 272, 247, 424, 391 |
| 2 | 211, 136, 247, 212, 391 |
| 2 | 211, 68, 247, 106, 391 |
| 17 | 211, 34, 247, 53, 391 |
| 211, 2, 247, 53, 23 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 17 x 211 x 2 x 247 x 53 x 23 = 34560658912
Therefore, the lowest common multiple of 422,544,247,848,391 is 34560658912.
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.
422 x 544 x 247 x 848 x 391 = 18800998448128
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.
422 : 1, 2, 211, 422
544 : 1, 2, 4, 8, 16, 17, 32, 34, 68, 136, 272, 544
247 : 1, 13, 19, 247
848 : 1, 2, 4, 8, 16, 53, 106, 212, 424, 848
391 : 1, 17, 23, 391
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 422,544,247,848,391, is 1.
Now, the common factors can be found like this.
422:2x 211
544:2x 2x 2x 2x 2x 17
247:13x 19
848:2x 2x 2x 2x 53
391:17x 23
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 17 = 544
Therefore, the value for common factors is 544.
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 = 18800998448128/(1x544)
LCM = 18800998448128/544
LCM = 34560658912
Thus, we can understand that the LCM of 422,544,247,848,391 is 34560658912.
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FAQs on LCM of 422, 544, 247, 848, 391
1. What is the LCM of 422, 544, 247, 848, 391?
Answer: LCM of 422, 544, 247, 848, 391 is 34560658912.
2. How to calculate the LCM of 422, 544, 247, 848, 391?
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 422, 544, 247, 848, 391.
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}.