LCM of 460, 154, 429, 760, 204
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 460, 154, 429, 760, 204 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, 154, 429, 760, 204. So, keep reading to learn more.
Given numbers are 460,154,429,760,204
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 460,154,429,760,204 is 892371480.
Find LCM of 460,154,429,760,204 with Prime Factorization
| 2 | 460, 154, 429, 760, 204 |
| 2 | 230, 77, 429, 380, 102 |
| 3 | 115, 77, 429, 190, 51 |
| 5 | 115, 77, 143, 190, 17 |
| 11 | 23, 77, 143, 38, 17 |
| 23, 7, 13, 38, 17 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 11 x 23 x 7 x 13 x 38 x 17 = 892371480
Therefore, the lowest common multiple of 460,154,429,760,204 is 892371480.
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 154 x 429 x 760 x 204 = 4711721414400
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
154 : 1, 2, 7, 11, 14, 22, 77, 154
429 : 1, 3, 11, 13, 33, 39, 143, 429
760 : 1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 76, 95, 152, 190, 380, 760
204 : 1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 460,154,429,760,204, is 1.
Now, the common factors can be found like this.
460:2x 2x 5x 23
154:2x 7x 11
429:3x 11x 13
760:2x 2x 2x 5x 19
204:2x 2x 3x 17
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 2x 2x 2x 3x 5x 11 = 5280
Therefore, the value for common factors is 5280.
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 = 4711721414400/(1x5280)
LCM = 4711721414400/5280
LCM = 892371480
Thus, we can understand that the LCM of 460,154,429,760,204 is 892371480.
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FAQs on LCM of 460, 154, 429, 760, 204
1. What is the LCM of 460, 154, 429, 760, 204?
Answer: LCM of 460, 154, 429, 760, 204 is 892371480.
2. How to calculate the LCM of 460, 154, 429, 760, 204?
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, 154, 429, 760, 204.
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}.