LCM of 967, 456, 361, 108
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 967, 456, 361, 108 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, 456, 361, 108. So, keep reading to learn more.
Given numbers are 967,456,361,108
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 967,456,361,108 is 75402792.
Find LCM of 967,456,361,108 with Prime Factorization
| 2 | 967, 456, 361, 108 |
| 2 | 967, 228, 361, 54 |
| 3 | 967, 114, 361, 27 |
| 19 | 967, 38, 361, 9 |
| 967, 2, 19, 9 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 19 x 967 x 2 x 19 x 9 = 75402792
Therefore, the lowest common multiple of 967,456,361,108 is 75402792.
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 456 x 361 x 108 = 17191836576
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
456 : 1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456
361 : 1, 19, 361
108 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 967,456,361,108, is 1.
Now, the common factors can be found like this.
967:967
456:2x 2x 2x 3x 19
361:19x 19
108:2x 2x 3x 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 3x 19 = 228
Therefore, the value for common factors is 228.
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 = 17191836576/(1x228)
LCM = 17191836576/228
LCM = 75402792
Thus, we can understand that the LCM of 967,456,361,108 is 75402792.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 967, 456, 361, 108
1. What is the LCM of 967, 456, 361, 108?
Answer: LCM of 967, 456, 361, 108 is 75402792.
2. How to calculate the LCM of 967, 456, 361, 108?
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, 456, 361, 108.
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}.