LCM of 628, 333, 942, 406, 704
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 628, 333, 942, 406, 704 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, 333, 942, 406, 704. So, keep reading to learn more.
Given numbers are 628,333,942,406,704
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 628,333,942,406,704 is 7471582272.
Find LCM of 628,333,942,406,704 with Prime Factorization
| 2 | 628, 333, 942, 406, 704 |
| 2 | 314, 333, 471, 203, 352 |
| 3 | 157, 333, 471, 203, 176 |
| 157 | 157, 111, 157, 203, 176 |
| 1, 111, 1, 203, 176 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 157 x 1 x 111 x 1 x 203 x 176 = 7471582272
Therefore, the lowest common multiple of 628,333,942,406,704 is 7471582272.
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 333 x 942 x 406 x 704 = 56305844001792
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
333 : 1, 3, 9, 37, 111, 333
942 : 1, 2, 3, 6, 157, 314, 471, 942
406 : 1, 2, 7, 14, 29, 58, 203, 406
704 : 1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 628,333,942,406,704, is 1.
Now, the common factors can be found like this.
628:2x 2x 157
333:3x 3x 37
942:2x 3x 157
406:2x 7x 29
704:2x 2x 2x 2x 2x 2x 11
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 3x 157 = 7536
Therefore, the value for common factors is 7536.
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 = 56305844001792/(1x7536)
LCM = 56305844001792/7536
LCM = 7471582272
Thus, we can understand that the LCM of 628,333,942,406,704 is 7471582272.
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FAQs on LCM of 628, 333, 942, 406, 704
1. What is the LCM of 628, 333, 942, 406, 704?
Answer: LCM of 628, 333, 942, 406, 704 is 7471582272.
2. How to calculate the LCM of 628, 333, 942, 406, 704?
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, 333, 942, 406, 704.
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}.