LCM of 628, 978, 418, 893, 249
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 628, 978, 418, 893, 249 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 628, 978, 418, 893, 249. So, keep reading to learn more.
Given numbers are 628,978,418,893,249
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 628,978,418,893,249 is 250374871428.
Find LCM of 628,978,418,893,249 with Prime Factorization
| 2 | 628, 978, 418, 893, 249 |
| 3 | 314, 489, 209, 893, 249 |
| 19 | 314, 163, 209, 893, 83 |
| 314, 163, 11, 47, 83 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 19 x 314 x 163 x 11 x 47 x 83 = 250374871428
Therefore, the lowest common multiple of 628,978,418,893,249 is 250374871428.
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.
628 x 978 x 418 x 893 x 249 = 57085470685584
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.
628 : 1, 2, 4, 157, 314, 628
978 : 1, 2, 3, 6, 163, 326, 489, 978
418 : 1, 2, 11, 19, 22, 38, 209, 418
893 : 1, 19, 47, 893
249 : 1, 3, 83, 249
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 628,978,418,893,249, is 1.
Now, the common factors can be found like this.
628:2x 2x 157
978:2x 3x 163
418:2x 11x 19
893:19x 47
249:3x 83
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 3x 19 = 228
Therefore, the value for common factors is 228.
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 = 57085470685584/(1x228)
LCM = 57085470685584/228
LCM = 250374871428
Thus, we can understand that the LCM of 628,978,418,893,249 is 250374871428.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 628, 978, 418, 893, 249
1. What is the LCM of 628, 978, 418, 893, 249?
Answer: LCM of 628, 978, 418, 893, 249 is 250374871428.
2. How to calculate the LCM of 628, 978, 418, 893, 249?
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 628, 978, 418, 893, 249.
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}.