LCM of 880, 624, 845, 641, 106
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 880, 624, 845, 641, 106 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 880, 624, 845, 641, 106. So, keep reading to learn more.
Given numbers are 880,624,845,641,106
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 880,624,845,641,106 is 15157393680.
Find LCM of 880,624,845,641,106 with Prime Factorization
| 2 | 880, 624, 845, 641, 106 |
| 2 | 440, 312, 845, 641, 53 |
| 2 | 220, 156, 845, 641, 53 |
| 2 | 110, 78, 845, 641, 53 |
| 5 | 55, 39, 845, 641, 53 |
| 13 | 11, 39, 169, 641, 53 |
| 11, 3, 13, 641, 53 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 5 x 13 x 11 x 3 x 13 x 641 x 53 = 15157393680
Therefore, the lowest common multiple of 880,624,845,641,106 is 15157393680.
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.
880 x 624 x 845 x 641 x 106 = 31527378854400
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.
880 : 1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 40, 44, 55, 80, 88, 110, 176, 220, 440, 880
624 : 1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 208, 312, 624
845 : 1, 5, 13, 65, 169, 845
641 : 1, 641
106 : 1, 2, 53, 106
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 880,624,845,641,106, is 1.
Now, the common factors can be found like this.
880:2x 2x 2x 2x 5x 11
624:2x 2x 2x 2x 3x 13
845:5x 13x 13
641:641
106:2x 53
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 5x 13 = 2080
Therefore, the value for common factors is 2080.
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 = 31527378854400/(1x2080)
LCM = 31527378854400/2080
LCM = 15157393680
Thus, we can understand that the LCM of 880,624,845,641,106 is 15157393680.
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FAQs on LCM of 880, 624, 845, 641, 106
1. What is the LCM of 880, 624, 845, 641, 106?
Answer: LCM of 880, 624, 845, 641, 106 is 15157393680.
2. How to calculate the LCM of 880, 624, 845, 641, 106?
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 880, 624, 845, 641, 106.
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}.