LCM of 938, 304, 835, 700, 629
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 938, 304, 835, 700, 629 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 938, 304, 835, 700, 629. So, keep reading to learn more.
Given numbers are 938,304,835,700,629
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 938,304,835,700,629 is 374415269200.
Find LCM of 938,304,835,700,629 with Prime Factorization
| 2 | 938, 304, 835, 700, 629 |
| 2 | 469, 152, 835, 350, 629 |
| 5 | 469, 76, 835, 175, 629 |
| 7 | 469, 76, 167, 35, 629 |
| 67, 76, 167, 5, 629 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 5 x 7 x 67 x 76 x 167 x 5 x 629 = 374415269200
Therefore, the lowest common multiple of 938,304,835,700,629 is 374415269200.
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.
938 x 304 x 835 x 700 x 629 = 104836275376000
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.
938 : 1, 2, 7, 14, 67, 134, 469, 938
304 : 1, 2, 4, 8, 16, 19, 38, 76, 152, 304
835 : 1, 5, 167, 835
700 : 1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 50, 70, 100, 140, 175, 350, 700
629 : 1, 17, 37, 629
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 938,304,835,700,629, is 1.
Now, the common factors can be found like this.
938:2x 7x 67
304:2x 2x 2x 2x 19
835:5x 167
700:2x 2x 5x 5x 7
629:17x 37
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 5x 7 = 280
Therefore, the value for common factors is 280.
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 = 104836275376000/(1x280)
LCM = 104836275376000/280
LCM = 374415269200
Thus, we can understand that the LCM of 938,304,835,700,629 is 374415269200.
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FAQs on LCM of 938, 304, 835, 700, 629
1. What is the LCM of 938, 304, 835, 700, 629?
Answer: LCM of 938, 304, 835, 700, 629 is 374415269200.
2. How to calculate the LCM of 938, 304, 835, 700, 629?
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 938, 304, 835, 700, 629.
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}.