LCM of 967, 685, 824, 949, 288
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 967, 685, 824, 949, 288 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 967, 685, 824, 949, 288. So, keep reading to learn more.
Given numbers are 967,685,824,949,288
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 967,685,824,949,288 is 18647171730720.
Find LCM of 967,685,824,949,288 with Prime Factorization
| 2 | 967, 685, 824, 949, 288 |
| 2 | 967, 685, 412, 949, 144 |
| 2 | 967, 685, 206, 949, 72 |
| 967, 685, 103, 949, 36 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 967 x 685 x 103 x 949 x 36 = 18647171730720
Therefore, the lowest common multiple of 967,685,824,949,288 is 18647171730720.
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.
967 x 685 x 824 x 949 x 288 = 149177373845760
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.
967 : 1, 967
685 : 1, 5, 137, 685
824 : 1, 2, 4, 8, 103, 206, 412, 824
949 : 1, 13, 73, 949
288 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 288
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 967,685,824,949,288, is 1.
Now, the common factors can be found like this.
967:967
685:5x 137
824:2x 2x 2x 103
949:13x 73
288:2x 2x 2x 2x 2x 3x 3
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 2 = 8
Therefore, the value for common factors is 8.
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 = 149177373845760/(1x8)
LCM = 149177373845760/8
LCM = 18647171730720
Thus, we can understand that the LCM of 967,685,824,949,288 is 18647171730720.
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FAQs on LCM of 967, 685, 824, 949, 288
1. What is the LCM of 967, 685, 824, 949, 288?
Answer: LCM of 967, 685, 824, 949, 288 is 18647171730720.
2. How to calculate the LCM of 967, 685, 824, 949, 288?
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 967, 685, 824, 949, 288.
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}.