LCM of 597, 616, 864, 777, 968
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 597, 616, 864, 777, 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 597, 616, 864, 777, 968. So, keep reading to learn more.
Given numbers are 597,616,864,777,968
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 597,616,864,777,968 is 5388302304.
Find LCM of 597,616,864,777,968 with Prime Factorization
| 2 | 597, 616, 864, 777, 968 |
| 2 | 597, 308, 432, 777, 484 |
| 2 | 597, 154, 216, 777, 242 |
| 3 | 597, 77, 108, 777, 121 |
| 7 | 199, 77, 36, 259, 121 |
| 11 | 199, 11, 36, 37, 121 |
| 199, 1, 36, 37, 11 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 7 x 11 x 199 x 1 x 36 x 37 x 11 = 5388302304
Therefore, the lowest common multiple of 597,616,864,777,968 is 5388302304.
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.
597 x 616 x 864 x 777 x 968 = 238981983787008
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.
597 : 1, 3, 199, 597
616 : 1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 154, 308, 616
864 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 72, 96, 108, 144, 216, 288, 432, 864
777 : 1, 3, 7, 21, 37, 111, 259, 777
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 597,616,864,777,968, is 1.
Now, the common factors can be found like this.
597:3x 199
616:2x 2x 2x 7x 11
864:2x 2x 2x 2x 2x 3x 3x 3
777:3x 7x 37
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 2x 2x 3x 3x 7x 11 = 44352
Therefore, the value for common factors is 44352.
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 = 238981983787008/(1x44352)
LCM = 238981983787008/44352
LCM = 5388302304
Thus, we can understand that the LCM of 597,616,864,777,968 is 5388302304.
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FAQs on LCM of 597, 616, 864, 777, 968
1. What is the LCM of 597, 616, 864, 777, 968?
Answer: LCM of 597, 616, 864, 777, 968 is 5388302304.
2. How to calculate the LCM of 597, 616, 864, 777, 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 597, 616, 864, 777, 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}.