LCM of 543, 861, 830, 245, 106
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 543, 861, 830, 245, 106 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 543, 861, 830, 245, 106. So, keep reading to learn more.
Given numbers are 543,861,830,245,106
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 543,861,830,245,106 is 47988119130.
Find LCM of 543,861,830,245,106 with Prime Factorization
| 2 | 543, 861, 830, 245, 106 |
| 3 | 543, 861, 415, 245, 53 |
| 5 | 181, 287, 415, 245, 53 |
| 7 | 181, 287, 83, 49, 53 |
| 181, 41, 83, 7, 53 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 7 x 181 x 41 x 83 x 7 x 53 = 47988119130
Therefore, the lowest common multiple of 543,861,830,245,106 is 47988119130.
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.
543 x 861 x 830 x 245 x 106 = 10077505017300
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.
543 : 1, 3, 181, 543
861 : 1, 3, 7, 21, 41, 123, 287, 861
830 : 1, 2, 5, 10, 83, 166, 415, 830
245 : 1, 5, 7, 35, 49, 245
106 : 1, 2, 53, 106
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 543,861,830,245,106, is 1.
Now, the common factors can be found like this.
543:3x 181
861:3x 7x 41
830:2x 5x 83
245:5x 7x 7
106:2x 53
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 5x 7 = 210
Therefore, the value for common factors is 210.
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 = 10077505017300/(1x210)
LCM = 10077505017300/210
LCM = 47988119130
Thus, we can understand that the LCM of 543,861,830,245,106 is 47988119130.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 543, 861, 830, 245, 106
1. What is the LCM of 543, 861, 830, 245, 106?
Answer: LCM of 543, 861, 830, 245, 106 is 47988119130.
2. How to calculate the LCM of 543, 861, 830, 245, 106?
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 543, 861, 830, 245, 106.
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}.