LCM of 239, 753, 748, 566, 968
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 239, 753, 748, 566, 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 239, 753, 748, 566, 968. So, keep reading to learn more.
Given numbers are 239,753,748,566,968
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 239,753,748,566,968 is 838114957416.
Find LCM of 239,753,748,566,968 with Prime Factorization
| 2 | 239, 753, 748, 566, 968 |
| 2 | 239, 753, 374, 283, 484 |
| 11 | 239, 753, 187, 283, 242 |
| 239, 753, 17, 283, 22 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 11 x 239 x 753 x 17 x 283 x 22 = 838114957416
Therefore, the lowest common multiple of 239,753,748,566,968 is 838114957416.
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.
239 x 753 x 748 x 566 x 968 = 73754116252608
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.
239 : 1, 239
753 : 1, 3, 251, 753
748 : 1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748
566 : 1, 2, 283, 566
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 239,753,748,566,968, is 1.
Now, the common factors can be found like this.
239:239
753:3x 251
748:2x 2x 11x 17
566:2x 283
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 11 = 88
Therefore, the value for common factors is 88.
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 = 73754116252608/(1x88)
LCM = 73754116252608/88
LCM = 838114957416
Thus, we can understand that the LCM of 239,753,748,566,968 is 838114957416.
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FAQs on LCM of 239, 753, 748, 566, 968
1. What is the LCM of 239, 753, 748, 566, 968?
Answer: LCM of 239, 753, 748, 566, 968 is 838114957416.
2. How to calculate the LCM of 239, 753, 748, 566, 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 239, 753, 748, 566, 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}.