LCM of 546, 445, 754, 965
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 546, 445, 754, 965 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 546, 445, 754, 965. So, keep reading to learn more.
Given numbers are 546,445,754,965
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 546,445,754,965 is 1359903090.
Find LCM of 546,445,754,965 with Prime Factorization
| 2 | 546, 445, 754, 965 |
| 5 | 273, 445, 377, 965 |
| 13 | 273, 89, 377, 193 |
| 21, 89, 29, 193 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 13 x 21 x 89 x 29 x 193 = 1359903090
Therefore, the lowest common multiple of 546,445,754,965 is 1359903090.
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.
546 x 445 x 754 x 965 = 176787401700
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.
546 : 1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 182, 273, 546
445 : 1, 5, 89, 445
754 : 1, 2, 13, 26, 29, 58, 377, 754
965 : 1, 5, 193, 965
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 546,445,754,965, is 1.
Now, the common factors can be found like this.
546:2x 3x 7x 13
445:5x 89
754:2x 13x 29
965:5x 193
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 5x 13 = 130
Therefore, the value for common factors is 130.
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 = 176787401700/(1x130)
LCM = 176787401700/130
LCM = 1359903090
Thus, we can understand that the LCM of 546,445,754,965 is 1359903090.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 546, 445, 754, 965
1. What is the LCM of 546, 445, 754, 965?
Answer: LCM of 546, 445, 754, 965 is 1359903090.
2. How to calculate the LCM of 546, 445, 754, 965?
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 546, 445, 754, 965.
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}.