LCM of 660, 377, 546, 803
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 660, 377, 546, 803 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 660, 377, 546, 803. So, keep reading to learn more.
Given numbers are 660,377,546,803
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 660,377,546,803 is 127147020.
Find LCM of 660,377,546,803 with Prime Factorization
| 2 | 660, 377, 546, 803 |
| 3 | 330, 377, 273, 803 |
| 11 | 110, 377, 91, 803 |
| 13 | 10, 377, 91, 73 |
| 10, 29, 7, 73 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 11 x 13 x 10 x 29 x 7 x 73 = 127147020
Therefore, the lowest common multiple of 660,377,546,803 is 127147020.
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.
660 x 377 x 546 x 803 = 109092143160
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.
660 : 1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660
377 : 1, 13, 29, 377
546 : 1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 182, 273, 546
803 : 1, 11, 73, 803
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 660,377,546,803, is 1.
Now, the common factors can be found like this.
660:2x 2x 3x 5x 11
377:13x 29
546:2x 3x 7x 13
803:11x 73
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 11x 13 = 858
Therefore, the value for common factors is 858.
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 = 109092143160/(1x858)
LCM = 109092143160/858
LCM = 127147020
Thus, we can understand that the LCM of 660,377,546,803 is 127147020.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 660, 377, 546, 803
1. What is the LCM of 660, 377, 546, 803?
Answer: LCM of 660, 377, 546, 803 is 127147020.
2. How to calculate the LCM of 660, 377, 546, 803?
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 660, 377, 546, 803.
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}.