Find the LCM of 547, 435, 496, 364, 668 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 547, 435, 496, 364, 668. So, keep reading to learn more.
Given numbers are 547,435,496,364,668
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 547,435,496,364,668 is 1793560881840.
Find LCM of 547,435,496,364,668 with Prime Factorization
2 | 547, 435, 496, 364, 668 |
2 | 547, 435, 248, 182, 334 |
547, 435, 124, 91, 167 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 547 x 435 x 124 x 91 x 167 = 1793560881840
Therefore, the lowest common multiple of 547,435,496,364,668 is 1793560881840.
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.
547 x 435 x 496 x 364 x 668 = 28696974109440
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.
547 : 1, 547
435 : 1, 3, 5, 15, 29, 87, 145, 435
496 : 1, 2, 4, 8, 16, 31, 62, 124, 248, 496
364 : 1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364
668 : 1, 2, 4, 167, 334, 668
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 547,435,496,364,668, is 1.
Now, the common factors can be found like this.
547:547
435:3x 5x 29
496:2x 2x 2x 2x 31
364:2x 2x 7x 13
668:2x 2x 167
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 2 = 16
Therefore, the value for common factors is 16.
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 = 28696974109440/(1x16)
LCM = 28696974109440/16
LCM = 1793560881840
Thus, we can understand that the LCM of 547,435,496,364,668 is 1793560881840.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 547, 435, 496, 364, 668?
Answer: LCM of 547, 435, 496, 364, 668 is 1793560881840.
2. How to calculate the LCM of 547, 435, 496, 364, 668?
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 547, 435, 496, 364, 668.
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}.