LCM of 624, 639, 856, 360
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 624, 639, 856, 360 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 624, 639, 856, 360. So, keep reading to learn more.
Given numbers are 624,639,856,360
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 624,639,856,360 is 71107920.
Find LCM of 624,639,856,360 with Prime Factorization
| 2 | 624, 639, 856, 360 |
| 2 | 312, 639, 428, 180 |
| 2 | 156, 639, 214, 90 |
| 3 | 78, 639, 107, 45 |
| 3 | 26, 213, 107, 15 |
| 26, 71, 107, 5 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 3 x 26 x 71 x 107 x 5 = 71107920
Therefore, the lowest common multiple of 624,639,856,360 is 71107920.
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.
624 x 639 x 856 x 360 = 122874485760
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.
624 : 1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 208, 312, 624
639 : 1, 3, 9, 71, 213, 639
856 : 1, 2, 4, 8, 107, 214, 428, 856
360 : 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 624,639,856,360, is 1.
Now, the common factors can be found like this.
624:2x 2x 2x 2x 3x 13
639:3x 3x 71
856:2x 2x 2x 107
360:2x 2x 2x 3x 3x 5
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 3x 3x 3 = 1728
Therefore, the value for common factors is 1728.
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 = 122874485760/(1x1728)
LCM = 122874485760/1728
LCM = 71107920
Thus, we can understand that the LCM of 624,639,856,360 is 71107920.
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FAQs on LCM of 624, 639, 856, 360
1. What is the LCM of 624, 639, 856, 360?
Answer: LCM of 624, 639, 856, 360 is 71107920.
2. How to calculate the LCM of 624, 639, 856, 360?
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 624, 639, 856, 360.
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}.