LCM of 972, 615, 556, 818, 779
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 972, 615, 556, 818, 779 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 972, 615, 556, 818, 779. So, keep reading to learn more.
Given numbers are 972,615,556,818,779
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 972,615,556,818,779 is 215234474940.
Find LCM of 972,615,556,818,779 with Prime Factorization
| 2 | 972, 615, 556, 818, 779 |
| 2 | 486, 615, 278, 409, 779 |
| 3 | 243, 615, 139, 409, 779 |
| 41 | 81, 205, 139, 409, 779 |
| 81, 5, 139, 409, 19 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 41 x 81 x 5 x 139 x 409 x 19 = 215234474940
Therefore, the lowest common multiple of 972,615,556,818,779 is 215234474940.
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.
972 x 615 x 556 x 818 x 779 = 211790723340960
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.
972 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972
615 : 1, 3, 5, 15, 41, 123, 205, 615
556 : 1, 2, 4, 139, 278, 556
818 : 1, 2, 409, 818
779 : 1, 19, 41, 779
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 972,615,556,818,779, is 1.
Now, the common factors can be found like this.
972:2x 2x 3x 3x 3x 3x 3
615:3x 5x 41
556:2x 2x 139
818:2x 409
779:19x 41
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 3x 41 = 984
Therefore, the value for common factors is 984.
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 = 211790723340960/(1x984)
LCM = 211790723340960/984
LCM = 215234474940
Thus, we can understand that the LCM of 972,615,556,818,779 is 215234474940.
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FAQs on LCM of 972, 615, 556, 818, 779
1. What is the LCM of 972, 615, 556, 818, 779?
Answer: LCM of 972, 615, 556, 818, 779 is 215234474940.
2. How to calculate the LCM of 972, 615, 556, 818, 779?
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 972, 615, 556, 818, 779.
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}.