LCM of 541, 665, 745, 672, 120
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 541, 665, 745, 672, 120 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, 665, 745, 672, 120. So, keep reading to learn more.
Given numbers are 541,665,745,672,120
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 541,665,745,672,120 is 5146078560.
Find LCM of 541,665,745,672,120 with Prime Factorization
| 2 | 541, 665, 745, 672, 120 |
| 2 | 541, 665, 745, 336, 60 |
| 2 | 541, 665, 745, 168, 30 |
| 3 | 541, 665, 745, 84, 15 |
| 5 | 541, 665, 745, 28, 5 |
| 7 | 541, 133, 149, 28, 1 |
| 541, 19, 149, 4, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 5 x 7 x 541 x 19 x 149 x 4 x 1 = 5146078560
Therefore, the lowest common multiple of 541,665,745,672,120 is 5146078560.
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 665 x 745 x 672 x 120 = 21613529952000
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
665 : 1, 5, 7, 19, 35, 95, 133, 665
745 : 1, 5, 149, 745
672 : 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48, 56, 84, 96, 112, 168, 224, 336, 672
120 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 541,665,745,672,120, is 1.
Now, the common factors can be found like this.
541:541
665:5x 7x 19
745:5x 149
672:2x 2x 2x 2x 2x 3x 7
120:2x 2x 2x 3x 5
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 3x 5x 5x 7 = 4200
Therefore, the value for common factors is 4200.
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 = 21613529952000/(1x4200)
LCM = 21613529952000/4200
LCM = 5146078560
Thus, we can understand that the LCM of 541,665,745,672,120 is 5146078560.
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FAQs on LCM of 541, 665, 745, 672, 120
1. What is the LCM of 541, 665, 745, 672, 120?
Answer: LCM of 541, 665, 745, 672, 120 is 5146078560.
2. How to calculate the LCM of 541, 665, 745, 672, 120?
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, 665, 745, 672, 120.
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}.