LCM of 889, 624, 467, 742, 680
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 889, 624, 467, 742, 680 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 889, 624, 467, 742, 680. So, keep reading to learn more.
Given numbers are 889,624,467,742,680
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 889,624,467,742,680 is 1167073012560.
Find LCM of 889,624,467,742,680 with Prime Factorization
| 2 | 889, 624, 467, 742, 680 |
| 2 | 889, 312, 467, 371, 340 |
| 2 | 889, 156, 467, 371, 170 |
| 7 | 889, 78, 467, 371, 85 |
| 127, 78, 467, 53, 85 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 7 x 127 x 78 x 467 x 53 x 85 = 1167073012560
Therefore, the lowest common multiple of 889,624,467,742,680 is 1167073012560.
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.
889 x 624 x 467 x 742 x 680 = 130712177406720
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.
889 : 1, 7, 127, 889
624 : 1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 208, 312, 624
467 : 1, 467
742 : 1, 2, 7, 14, 53, 106, 371, 742
680 : 1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 889,624,467,742,680, is 1.
Now, the common factors can be found like this.
889:7x 127
624:2x 2x 2x 2x 3x 13
467:467
742:2x 7x 53
680:2x 2x 2x 5x 17
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 7 = 112
Therefore, the value for common factors is 112.
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 = 130712177406720/(1x112)
LCM = 130712177406720/112
LCM = 1167073012560
Thus, we can understand that the LCM of 889,624,467,742,680 is 1167073012560.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 889, 624, 467, 742, 680
1. What is the LCM of 889, 624, 467, 742, 680?
Answer: LCM of 889, 624, 467, 742, 680 is 1167073012560.
2. How to calculate the LCM of 889, 624, 467, 742, 680?
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 889, 624, 467, 742, 680.
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}.