LCM of 635, 240, 104, 624
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 635, 240, 104, 624 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 635, 240, 104, 624. So, keep reading to learn more.
Given numbers are 635,240,104,624
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 635,240,104,624 is 396240.
Find LCM of 635,240,104,624 with Prime Factorization
| 2 | 635, 240, 104, 624 |
| 2 | 635, 120, 52, 312 |
| 2 | 635, 60, 26, 156 |
| 2 | 635, 30, 13, 78 |
| 3 | 635, 15, 13, 39 |
| 5 | 635, 5, 13, 13 |
| 13 | 127, 1, 13, 13 |
| 127, 1, 1, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 3 x 5 x 13 x 127 x 1 x 1 x 1 = 396240
Therefore, the lowest common multiple of 635,240,104,624 is 396240.
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.
635 x 240 x 104 x 624 = 9890150400
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.
635 : 1, 5, 127, 635
240 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240
104 : 1, 2, 4, 8, 13, 26, 52, 104
624 : 1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 208, 312, 624
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 635,240,104,624, is 1.
Now, the common factors can be found like this.
635:5x 127
240:2x 2x 2x 2x 3x 5
104:2x 2x 2x 13
624:2x 2x 2x 2x 3x 13
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 2x 2x 3x 5x 13 = 24960
Therefore, the value for common factors is 24960.
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 = 9890150400/(1x24960)
LCM = 9890150400/24960
LCM = 396240
Thus, we can understand that the LCM of 635,240,104,624 is 396240.
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FAQs on LCM of 635, 240, 104, 624
1. What is the LCM of 635, 240, 104, 624?
Answer: LCM of 635, 240, 104, 624 is 396240.
2. How to calculate the LCM of 635, 240, 104, 624?
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 635, 240, 104, 624.
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}.