LCM of 541, 868, 538, 948, 124
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 541, 868, 538, 948, 124 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 541, 868, 538, 948, 124. So, keep reading to learn more.
Given numbers are 541,868,538,948,124
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 541,868,538,948,124 is 29937643764.
Find LCM of 541,868,538,948,124 with Prime Factorization
| 2 | 541, 868, 538, 948, 124 |
| 2 | 541, 434, 269, 474, 62 |
| 31 | 541, 217, 269, 237, 31 |
| 541, 7, 269, 237, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 31 x 541 x 7 x 269 x 237 x 1 = 29937643764
Therefore, the lowest common multiple of 541,868,538,948,124 is 29937643764.
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.
541 x 868 x 538 x 948 x 124 = 29698142613888
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.
541 : 1, 541
868 : 1, 2, 4, 7, 14, 28, 31, 62, 124, 217, 434, 868
538 : 1, 2, 269, 538
948 : 1, 2, 3, 4, 6, 12, 79, 158, 237, 316, 474, 948
124 : 1, 2, 4, 31, 62, 124
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 541,868,538,948,124, is 1.
Now, the common factors can be found like this.
541:541
868:2x 2x 7x 31
538:2x 269
948:2x 2x 3x 79
124:2x 2x 31
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 31 = 992
Therefore, the value for common factors is 992.
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 = 29698142613888/(1x992)
LCM = 29698142613888/992
LCM = 29937643764
Thus, we can understand that the LCM of 541,868,538,948,124 is 29937643764.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 541, 868, 538, 948, 124
1. What is the LCM of 541, 868, 538, 948, 124?
Answer: LCM of 541, 868, 538, 948, 124 is 29937643764.
2. How to calculate the LCM of 541, 868, 538, 948, 124?
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 541, 868, 538, 948, 124.
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}.