LCM of 364, 754, 334
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 364, 754, 334 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 364, 754, 334. So, keep reading to learn more.
Given numbers are 364,754,334
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 364,754,334 is 1762852.
Find LCM of 364,754,334 with Prime Factorization
| 2 | 364, 754, 334 |
| 13 | 182, 377, 167 |
| 14, 29, 167 |
Multiply the prime numbers at the bottom and the left side.
2 x 13 x 14 x 29 x 167 = 1762852
Therefore, the lowest common multiple of 364,754,334 is 1762852.
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.
364 x 754 x 334 = 91668304
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.
364 : 1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364
754 : 1, 2, 13, 26, 29, 58, 377, 754
334 : 1, 2, 167, 334
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 364,754,334, is 2.
Now, the common factors can be found like this.
364:2x 2x 7x 13
754:2x 13x 29
334:2x 167
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 13 = 26
Therefore, the value for common factors is 26.
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 = 91668304/(2x26)
LCM = 91668304/52
LCM = 1762852
Thus, we can understand that the LCM of 364,754,334 is 1762852.
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FAQs on LCM of 364, 754, 334
1. What is the LCM of 364, 754, 334?
Answer: LCM of 364, 754, 334 is 1762852.
2. How to calculate the LCM of 364, 754, 334?
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 364, 754, 334.
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}.