LCM of 292, 247, 124, 992, 636
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 292, 247, 124, 992, 636 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 292, 247, 124, 992, 636. So, keep reading to learn more.
Given numbers are 292,247,124,992,636
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 292,247,124,992,636 is 2843993568.
Find LCM of 292,247,124,992,636 with Prime Factorization
| 2 | 292, 247, 124, 992, 636 |
| 2 | 146, 247, 62, 496, 318 |
| 31 | 73, 247, 31, 248, 159 |
| 73, 247, 1, 8, 159 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 31 x 73 x 247 x 1 x 8 x 159 = 2843993568
Therefore, the lowest common multiple of 292,247,124,992,636 is 2843993568.
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.
292 x 247 x 124 x 992 x 636 = 5642483238912
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.
292 : 1, 2, 4, 73, 146, 292
247 : 1, 13, 19, 247
124 : 1, 2, 4, 31, 62, 124
992 : 1, 2, 4, 8, 16, 31, 32, 62, 124, 248, 496, 992
636 : 1, 2, 3, 4, 6, 12, 53, 106, 159, 212, 318, 636
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 292,247,124,992,636, is 1.
Now, the common factors can be found like this.
292:2x 2x 73
247:13x 19
124:2x 2x 31
992:2x 2x 2x 2x 2x 31
636:2x 2x 3x 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 2x 31 = 1984
Therefore, the value for common factors is 1984.
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 = 5642483238912/(1x1984)
LCM = 5642483238912/1984
LCM = 2843993568
Thus, we can understand that the LCM of 292,247,124,992,636 is 2843993568.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 292, 247, 124, 992, 636
1. What is the LCM of 292, 247, 124, 992, 636?
Answer: LCM of 292, 247, 124, 992, 636 is 2843993568.
2. How to calculate the LCM of 292, 247, 124, 992, 636?
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 292, 247, 124, 992, 636.
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}.