LCM of 667, 754, 138, 322
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 667, 754, 138, 322 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 667, 754, 138, 322. So, keep reading to learn more.
Given numbers are 667,754,138,322
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 667,754,138,322 is 364182.
Find LCM of 667,754,138,322 with Prime Factorization
| 2 | 667, 754, 138, 322 |
| 23 | 667, 377, 69, 161 |
| 29 | 29, 377, 3, 7 |
| 1, 13, 3, 7 |
Multiply the prime numbers at the bottom and the left side.
2 x 23 x 29 x 1 x 13 x 3 x 7 = 364182
Therefore, the lowest common multiple of 667,754,138,322 is 364182.
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.
667 x 754 x 138 x 322 = 22347664248
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.
667 : 1, 23, 29, 667
754 : 1, 2, 13, 26, 29, 58, 377, 754
138 : 1, 2, 3, 6, 23, 46, 69, 138
322 : 1, 2, 7, 14, 23, 46, 161, 322
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 667,754,138,322, is 1.
Now, the common factors can be found like this.
667:23x 29
754:2x 13x 29
138:2x 3x 23
322:2x 7x 23
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 23x 23x 29 = 61364
Therefore, the value for common factors is 61364.
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 = 22347664248/(1x61364)
LCM = 22347664248/61364
LCM = 364182
Thus, we can understand that the LCM of 667,754,138,322 is 364182.
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FAQs on LCM of 667, 754, 138, 322
1. What is the LCM of 667, 754, 138, 322?
Answer: LCM of 667, 754, 138, 322 is 364182.
2. How to calculate the LCM of 667, 754, 138, 322?
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 667, 754, 138, 322.
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}.