LCM of 869, 928, 107, 624, 611
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 869, 928, 107, 624, 611 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 869, 928, 107, 624, 611. So, keep reading to learn more.
Given numbers are 869,928,107,624,611
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 869,928,107,624,611 is 158166314592.
Find LCM of 869,928,107,624,611 with Prime Factorization
| 2 | 869, 928, 107, 624, 611 |
| 2 | 869, 464, 107, 312, 611 |
| 2 | 869, 232, 107, 156, 611 |
| 2 | 869, 116, 107, 78, 611 |
| 13 | 869, 58, 107, 39, 611 |
| 869, 58, 107, 3, 47 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 13 x 869 x 58 x 107 x 3 x 47 = 158166314592
Therefore, the lowest common multiple of 869,928,107,624,611 is 158166314592.
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.
869 x 928 x 107 x 624 x 611 = 32898593435136
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.
869 : 1, 11, 79, 869
928 : 1, 2, 4, 8, 16, 29, 32, 58, 116, 232, 464, 928
107 : 1, 107
624 : 1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 208, 312, 624
611 : 1, 13, 47, 611
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 869,928,107,624,611, is 1.
Now, the common factors can be found like this.
869:11x 79
928:2x 2x 2x 2x 2x 29
107:107
624:2x 2x 2x 2x 3x 13
611:13x 47
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 13 = 208
Therefore, the value for common factors is 208.
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 = 32898593435136/(1x208)
LCM = 32898593435136/208
LCM = 158166314592
Thus, we can understand that the LCM of 869,928,107,624,611 is 158166314592.
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FAQs on LCM of 869, 928, 107, 624, 611
1. What is the LCM of 869, 928, 107, 624, 611?
Answer: LCM of 869, 928, 107, 624, 611 is 158166314592.
2. How to calculate the LCM of 869, 928, 107, 624, 611?
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 869, 928, 107, 624, 611.
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}.