LCM of 967, 760, 364, 672, 924
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 967, 760, 364, 672, 924 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, 760, 364, 672, 924. So, keep reading to learn more.
Given numbers are 967,760,364,672,924
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 967,760,364,672,924 is 8827859040.
Find LCM of 967,760,364,672,924 with Prime Factorization
| 2 | 967, 760, 364, 672, 924 |
| 2 | 967, 380, 182, 336, 462 |
| 2 | 967, 190, 91, 168, 231 |
| 3 | 967, 95, 91, 84, 231 |
| 7 | 967, 95, 91, 28, 77 |
| 967, 95, 13, 4, 11 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 7 x 967 x 95 x 13 x 4 x 11 = 8827859040
Therefore, the lowest common multiple of 967,760,364,672,924 is 8827859040.
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 760 x 364 x 672 x 924 = 166104995696640
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
760 : 1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 76, 95, 152, 190, 380, 760
364 : 1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364
672 : 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48, 56, 84, 96, 112, 168, 224, 336, 672
924 : 1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 967,760,364,672,924, is 1.
Now, the common factors can be found like this.
967:967
760:2x 2x 2x 5x 19
364:2x 2x 7x 13
672:2x 2x 2x 2x 2x 3x 7
924:2x 2x 3x 7x 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 2x 3x 7x 7 = 18816
Therefore, the value for common factors is 18816.
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 = 166104995696640/(1x18816)
LCM = 166104995696640/18816
LCM = 8827859040
Thus, we can understand that the LCM of 967,760,364,672,924 is 8827859040.
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FAQs on LCM of 967, 760, 364, 672, 924
1. What is the LCM of 967, 760, 364, 672, 924?
Answer: LCM of 967, 760, 364, 672, 924 is 8827859040.
2. How to calculate the LCM of 967, 760, 364, 672, 924?
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, 760, 364, 672, 924.
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}.