LCM of 432, 247, 546, 553
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 432, 247, 546, 553 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 432, 247, 546, 553. So, keep reading to learn more.
Given numbers are 432,247,546,553
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 432,247,546,553 is 59007312.
Find LCM of 432,247,546,553 with Prime Factorization
| 2 | 432, 247, 546, 553 |
| 3 | 216, 247, 273, 553 |
| 7 | 72, 247, 91, 553 |
| 13 | 72, 247, 13, 79 |
| 72, 19, 1, 79 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 7 x 13 x 72 x 19 x 1 x 79 = 59007312
Therefore, the lowest common multiple of 432,247,546,553 is 59007312.
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.
432 x 247 x 546 x 553 = 32217992352
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.
432 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 144, 216, 432
247 : 1, 13, 19, 247
546 : 1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 182, 273, 546
553 : 1, 7, 79, 553
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 432,247,546,553, is 1.
Now, the common factors can be found like this.
432:2x 2x 2x 2x 3x 3x 3
247:13x 19
546:2x 3x 7x 13
553:7x 79
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 7x 13 = 546
Therefore, the value for common factors is 546.
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 = 32217992352/(1x546)
LCM = 32217992352/546
LCM = 59007312
Thus, we can understand that the LCM of 432,247,546,553 is 59007312.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 432, 247, 546, 553
1. What is the LCM of 432, 247, 546, 553?
Answer: LCM of 432, 247, 546, 553 is 59007312.
2. How to calculate the LCM of 432, 247, 546, 553?
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 432, 247, 546, 553.
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}.