LCM of 360, 912, 715, 649, 624
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 360, 912, 715, 649, 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 360, 912, 715, 649, 624. So, keep reading to learn more.
Given numbers are 360,912,715,649,624
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 360,912,715,649,624 is 115418160.
Find LCM of 360,912,715,649,624 with Prime Factorization
| 2 | 360, 912, 715, 649, 624 |
| 2 | 180, 456, 715, 649, 312 |
| 2 | 90, 228, 715, 649, 156 |
| 2 | 45, 114, 715, 649, 78 |
| 3 | 45, 57, 715, 649, 39 |
| 5 | 15, 19, 715, 649, 13 |
| 11 | 3, 19, 143, 649, 13 |
| 13 | 3, 19, 13, 59, 13 |
| 3, 19, 1, 59, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 3 x 5 x 11 x 13 x 3 x 19 x 1 x 59 x 1 = 115418160
Therefore, the lowest common multiple of 360,912,715,649,624 is 115418160.
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.
360 x 912 x 715 x 649 x 624 = 95067630028800
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.
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
912 : 1, 2, 3, 4, 6, 8, 12, 16, 19, 24, 38, 48, 57, 76, 114, 152, 228, 304, 456, 912
715 : 1, 5, 11, 13, 55, 65, 143, 715
649 : 1, 11, 59, 649
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 360,912,715,649,624, is 1.
Now, the common factors can be found like this.
360:2x 2x 2x 3x 3x 5
912:2x 2x 2x 2x 3x 19
715:5x 11x 13
649:11x 59
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 3x 5x 11x 13 = 823680
Therefore, the value for common factors is 823680.
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 = 95067630028800/(1x823680)
LCM = 95067630028800/823680
LCM = 115418160
Thus, we can understand that the LCM of 360,912,715,649,624 is 115418160.
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FAQs on LCM of 360, 912, 715, 649, 624
1. What is the LCM of 360, 912, 715, 649, 624?
Answer: LCM of 360, 912, 715, 649, 624 is 115418160.
2. How to calculate the LCM of 360, 912, 715, 649, 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 360, 912, 715, 649, 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}.