LCM of 736, 280, 635, 623, 979
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 736, 280, 635, 623, 979 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 736, 280, 635, 623, 979. So, keep reading to learn more.
Given numbers are 736,280,635,623,979
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 736,280,635,623,979 is 3202818080.
Find LCM of 736,280,635,623,979 with Prime Factorization
| 2 | 736, 280, 635, 623, 979 |
| 2 | 368, 140, 635, 623, 979 |
| 2 | 184, 70, 635, 623, 979 |
| 5 | 92, 35, 635, 623, 979 |
| 7 | 92, 7, 127, 623, 979 |
| 89 | 92, 1, 127, 89, 979 |
| 92, 1, 127, 1, 11 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 5 x 7 x 89 x 92 x 1 x 127 x 1 x 11 = 3202818080
Therefore, the lowest common multiple of 736,280,635,623,979 is 3202818080.
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.
736 x 280 x 635 x 623 x 979 = 79814226553600
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.
736 : 1, 2, 4, 8, 16, 23, 32, 46, 92, 184, 368, 736
280 : 1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 140, 280
635 : 1, 5, 127, 635
623 : 1, 7, 89, 623
979 : 1, 11, 89, 979
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 736,280,635,623,979, is 1.
Now, the common factors can be found like this.
736:2x 2x 2x 2x 2x 23
280:2x 2x 2x 5x 7
635:5x 127
623:7x 89
979:11x 89
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 5x 7x 89 = 24920
Therefore, the value for common factors is 24920.
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 = 79814226553600/(1x24920)
LCM = 79814226553600/24920
LCM = 3202818080
Thus, we can understand that the LCM of 736,280,635,623,979 is 3202818080.
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FAQs on LCM of 736, 280, 635, 623, 979
1. What is the LCM of 736, 280, 635, 623, 979?
Answer: LCM of 736, 280, 635, 623, 979 is 3202818080.
2. How to calculate the LCM of 736, 280, 635, 623, 979?
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 736, 280, 635, 623, 979.
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}.