LCM of 460, 429, 334, 754
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 460, 429, 334, 754 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 460, 429, 334, 754. So, keep reading to learn more.
Given numbers are 460,429,334,754
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 460,429,334,754 is 955717620.
Find LCM of 460,429,334,754 with Prime Factorization
| 2 | 460, 429, 334, 754 |
| 13 | 230, 429, 167, 377 |
| 230, 33, 167, 29 |
Multiply the prime numbers at the bottom and the left side.
2 x 13 x 230 x 33 x 167 x 29 = 955717620
Therefore, the lowest common multiple of 460,429,334,754 is 955717620.
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.
460 x 429 x 334 x 754 = 49697316240
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.
460 : 1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460
429 : 1, 3, 11, 13, 33, 39, 143, 429
334 : 1, 2, 167, 334
754 : 1, 2, 13, 26, 29, 58, 377, 754
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 460,429,334,754, is 1.
Now, the common factors can be found like this.
460:2x 2x 5x 23
429:3x 11x 13
334:2x 167
754:2x 13x 29
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 13 = 52
Therefore, the value for common factors is 52.
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 = 49697316240/(1x52)
LCM = 49697316240/52
LCM = 955717620
Thus, we can understand that the LCM of 460,429,334,754 is 955717620.
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FAQs on LCM of 460, 429, 334, 754
1. What is the LCM of 460, 429, 334, 754?
Answer: LCM of 460, 429, 334, 754 is 955717620.
2. How to calculate the LCM of 460, 429, 334, 754?
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 460, 429, 334, 754.
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}.