LCM of 642, 912, 361, 367, 967
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 642, 912, 361, 367, 967 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 642, 912, 361, 367, 967. So, keep reading to learn more.
Given numbers are 642,912,361,367,967
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 642,912,361,367,967 is 657998275344.
Find LCM of 642,912,361,367,967 with Prime Factorization
| 2 | 642, 912, 361, 367, 967 |
| 3 | 321, 456, 361, 367, 967 |
| 19 | 107, 152, 361, 367, 967 |
| 107, 8, 19, 367, 967 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 19 x 107 x 8 x 19 x 367 x 967 = 657998275344
Therefore, the lowest common multiple of 642,912,361,367,967 is 657998275344.
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.
642 x 912 x 361 x 367 x 967 = 75011803389216
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.
642 : 1, 2, 3, 6, 107, 214, 321, 642
912 : 1, 2, 3, 4, 6, 8, 12, 16, 19, 24, 38, 48, 57, 76, 114, 152, 228, 304, 456, 912
361 : 1, 19, 361
367 : 1, 367
967 : 1, 967
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 642,912,361,367,967, is 1.
Now, the common factors can be found like this.
642:2x 3x 107
912:2x 2x 2x 2x 3x 19
361:19x 19
367:367
967:967
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 19 = 114
Therefore, the value for common factors is 114.
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 = 75011803389216/(1x114)
LCM = 75011803389216/114
LCM = 657998275344
Thus, we can understand that the LCM of 642,912,361,367,967 is 657998275344.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 642, 912, 361, 367, 967
1. What is the LCM of 642, 912, 361, 367, 967?
Answer: LCM of 642, 912, 361, 367, 967 is 657998275344.
2. How to calculate the LCM of 642, 912, 361, 367, 967?
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 642, 912, 361, 367, 967.
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}.