LCM of 434, 506, 341, 312
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 434, 506, 341, 312 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 434, 506, 341, 312. So, keep reading to learn more.
Given numbers are 434,506,341,312
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 434,506,341,312 is 17129112.
Find LCM of 434,506,341,312 with Prime Factorization
| 2 | 434, 506, 341, 312 |
| 11 | 217, 253, 341, 156 |
| 31 | 217, 23, 31, 156 |
| 7, 23, 1, 156 |
Multiply the prime numbers at the bottom and the left side.
2 x 11 x 31 x 7 x 23 x 1 x 156 = 17129112
Therefore, the lowest common multiple of 434,506,341,312 is 17129112.
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.
434 x 506 x 341 x 312 = 23364108768
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.
434 : 1, 2, 7, 14, 31, 62, 217, 434
506 : 1, 2, 11, 22, 23, 46, 253, 506
341 : 1, 11, 31, 341
312 : 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 434,506,341,312, is 1.
Now, the common factors can be found like this.
434:2x 7x 31
506:2x 11x 23
341:11x 31
312:2x 2x 2x 3x 13
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 11x 31 = 1364
Therefore, the value for common factors is 1364.
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 = 23364108768/(1x1364)
LCM = 23364108768/1364
LCM = 17129112
Thus, we can understand that the LCM of 434,506,341,312 is 17129112.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 434, 506, 341, 312
1. What is the LCM of 434, 506, 341, 312?
Answer: LCM of 434, 506, 341, 312 is 17129112.
2. How to calculate the LCM of 434, 506, 341, 312?
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 434, 506, 341, 312.
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}.