LCM of 446, 667, 754, 544
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 446, 667, 754, 544 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 446, 667, 754, 544. So, keep reading to learn more.
Given numbers are 446,667,754,544
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 446,667,754,544 is 1051896352.
Find LCM of 446,667,754,544 with Prime Factorization
| 2 | 446, 667, 754, 544 |
| 29 | 223, 667, 377, 272 |
| 223, 23, 13, 272 |
Multiply the prime numbers at the bottom and the left side.
2 x 29 x 223 x 23 x 13 x 272 = 1051896352
Therefore, the lowest common multiple of 446,667,754,544 is 1051896352.
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.
446 x 667 x 754 x 544 = 122019976832
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.
446 : 1, 2, 223, 446
667 : 1, 23, 29, 667
754 : 1, 2, 13, 26, 29, 58, 377, 754
544 : 1, 2, 4, 8, 16, 17, 32, 34, 68, 136, 272, 544
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 446,667,754,544, is 1.
Now, the common factors can be found like this.
446:2x 223
667:23x 29
754:2x 13x 29
544:2x 2x 2x 2x 2x 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 29 = 116
Therefore, the value for common factors is 116.
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 = 122019976832/(1x116)
LCM = 122019976832/116
LCM = 1051896352
Thus, we can understand that the LCM of 446,667,754,544 is 1051896352.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 446, 667, 754, 544
1. What is the LCM of 446, 667, 754, 544?
Answer: LCM of 446, 667, 754, 544 is 1051896352.
2. How to calculate the LCM of 446, 667, 754, 544?
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 446, 667, 754, 544.
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}.