LCM of 519, 718, 900, 242, 968
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 519, 718, 900, 242, 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 519, 718, 900, 242, 968. So, keep reading to learn more.
Given numbers are 519,718,900,242,968
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 519,718,900,242,968 is 13526904600.
Find LCM of 519,718,900,242,968 with Prime Factorization
| 2 | 519, 718, 900, 242, 968 |
| 2 | 519, 359, 450, 121, 484 |
| 3 | 519, 359, 225, 121, 242 |
| 11 | 173, 359, 75, 121, 242 |
| 11 | 173, 359, 75, 11, 22 |
| 173, 359, 75, 1, 2 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 11 x 11 x 173 x 359 x 75 x 1 x 2 = 13526904600
Therefore, the lowest common multiple of 519,718,900,242,968 is 13526904600.
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.
519 x 718 x 900 x 242 x 968 = 78564261916800
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.
519 : 1, 3, 173, 519
718 : 1, 2, 359, 718
900 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900
242 : 1, 2, 11, 22, 121, 242
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 519,718,900,242,968, is 1.
Now, the common factors can be found like this.
519:3x 173
718:2x 359
900:2x 2x 3x 3x 5x 5
242:2x 11x 11
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 2x 2x 2x 3x 11x 11 = 5808
Therefore, the value for common factors is 5808.
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 = 78564261916800/(1x5808)
LCM = 78564261916800/5808
LCM = 13526904600
Thus, we can understand that the LCM of 519,718,900,242,968 is 13526904600.
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FAQs on LCM of 519, 718, 900, 242, 968
1. What is the LCM of 519, 718, 900, 242, 968?
Answer: LCM of 519, 718, 900, 242, 968 is 13526904600.
2. How to calculate the LCM of 519, 718, 900, 242, 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 519, 718, 900, 242, 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}.