LCM of 342, 432, 280, 76
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 342, 432, 280, 76 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 342, 432, 280, 76. So, keep reading to learn more.
Given numbers are 342,432,280,76
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 342,432,280,76 is 287280.
Find LCM of 342,432,280,76 with Prime Factorization
| 2 | 342, 432, 280, 76 |
| 2 | 171, 216, 140, 38 |
| 2 | 171, 108, 70, 19 |
| 3 | 171, 54, 35, 19 |
| 3 | 57, 18, 35, 19 |
| 19 | 19, 6, 35, 19 |
| 1, 6, 35, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 3 x 19 x 1 x 6 x 35 x 1 = 287280
Therefore, the lowest common multiple of 342,432,280,76 is 287280.
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.
342 x 432 x 280 x 76 = 3143992320
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.
342 : 1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342
432 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 144, 216, 432
280 : 1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 140, 280
76 : 1, 2, 4, 19, 38, 76
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 342,432,280,76, is 2.
Now, the common factors can be found like this.
342:2x 3x 3x 19
432:2x 2x 2x 2x 3x 3x 3
280:2x 2x 2x 5x 7
76:2x 2x 19
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 3x 19 = 5472
Therefore, the value for common factors is 5472.
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 = 3143992320/(2x5472)
LCM = 3143992320/10944
LCM = 287280
Thus, we can understand that the LCM of 342,432,280,76 is 287280.
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FAQs on LCM of 342, 432, 280, 76
1. What is the LCM of 342, 432, 280, 76?
Answer: LCM of 342, 432, 280, 76 is 287280.
2. How to calculate the LCM of 342, 432, 280, 76?
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 342, 432, 280, 76.
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}.