LCM of 558, 507, 847, 339, 968
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 558, 507, 847, 339, 968 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 558, 507, 847, 339, 968. So, keep reading to learn more.
Given numbers are 558,507,847,339,968
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 558,507,847,339,968 is 36102954888.
Find LCM of 558,507,847,339,968 with Prime Factorization
| 2 | 558, 507, 847, 339, 968 |
| 3 | 279, 507, 847, 339, 484 |
| 11 | 93, 169, 847, 113, 484 |
| 11 | 93, 169, 77, 113, 44 |
| 93, 169, 7, 113, 4 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 11 x 11 x 93 x 169 x 7 x 113 x 4 = 36102954888
Therefore, the lowest common multiple of 558,507,847,339,968 is 36102954888.
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.
558 x 507 x 847 x 339 x 968 = 78632235746064
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.
558 : 1, 2, 3, 6, 9, 18, 31, 62, 93, 186, 279, 558
507 : 1, 3, 13, 39, 169, 507
847 : 1, 7, 11, 77, 121, 847
339 : 1, 3, 113, 339
968 : 1, 2, 4, 8, 11, 22, 44, 88, 121, 242, 484, 968
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 558,507,847,339,968, is 1.
Now, the common factors can be found like this.
558:2x 3x 3x 31
507:3x 13x 13
847:7x 11x 11
339:3x 113
968:2x 2x 2x 11x 11
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 3x 11x 11 = 2178
Therefore, the value for common factors is 2178.
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 = 78632235746064/(1x2178)
LCM = 78632235746064/2178
LCM = 36102954888
Thus, we can understand that the LCM of 558,507,847,339,968 is 36102954888.
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FAQs on LCM of 558, 507, 847, 339, 968
1. What is the LCM of 558, 507, 847, 339, 968?
Answer: LCM of 558, 507, 847, 339, 968 is 36102954888.
2. How to calculate the LCM of 558, 507, 847, 339, 968?
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 558, 507, 847, 339, 968.
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}.