LCM of 541, 758, 754, 391, 884
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 541, 758, 754, 391, 884 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, 758, 754, 391, 884. So, keep reading to learn more.
Given numbers are 541,758,754,391,884
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 541,758,754,391,884 is 120896735492.
Find LCM of 541,758,754,391,884 with Prime Factorization
| 2 | 541, 758, 754, 391, 884 |
| 13 | 541, 379, 377, 391, 442 |
| 17 | 541, 379, 29, 391, 34 |
| 541, 379, 29, 23, 2 |
Multiply the prime numbers at the bottom and the left side.
2 x 13 x 17 x 541 x 379 x 29 x 23 x 2 = 120896735492
Therefore, the lowest common multiple of 541,758,754,391,884 is 120896735492.
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 758 x 754 x 391 x 884 = 106872714174928
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
758 : 1, 2, 379, 758
754 : 1, 2, 13, 26, 29, 58, 377, 754
391 : 1, 17, 23, 391
884 : 1, 2, 4, 13, 17, 26, 34, 52, 68, 221, 442, 884
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 541,758,754,391,884, is 1.
Now, the common factors can be found like this.
541:541
758:2x 379
754:2x 13x 29
391:17x 23
884:2x 2x 13x 17
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 13x 17 = 884
Therefore, the value for common factors is 884.
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 = 106872714174928/(1x884)
LCM = 106872714174928/884
LCM = 120896735492
Thus, we can understand that the LCM of 541,758,754,391,884 is 120896735492.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 541, 758, 754, 391, 884
1. What is the LCM of 541, 758, 754, 391, 884?
Answer: LCM of 541, 758, 754, 391, 884 is 120896735492.
2. How to calculate the LCM of 541, 758, 754, 391, 884?
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, 758, 754, 391, 884.
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}.