LCM of 905, 546, 299, 865, 478
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 905, 546, 299, 865, 478 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 905, 546, 299, 865, 478. So, keep reading to learn more.
Given numbers are 905,546,299,865,478
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 905,546,299,865,478 is 469908241530.
Find LCM of 905,546,299,865,478 with Prime Factorization
| 2 | 905, 546, 299, 865, 478 |
| 5 | 905, 273, 299, 865, 239 |
| 13 | 181, 273, 299, 173, 239 |
| 181, 21, 23, 173, 239 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 13 x 181 x 21 x 23 x 173 x 239 = 469908241530
Therefore, the lowest common multiple of 905,546,299,865,478 is 469908241530.
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.
905 x 546 x 299 x 865 x 478 = 61088071398900
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.
905 : 1, 5, 181, 905
546 : 1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 182, 273, 546
299 : 1, 13, 23, 299
865 : 1, 5, 173, 865
478 : 1, 2, 239, 478
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 905,546,299,865,478, is 1.
Now, the common factors can be found like this.
905:5x 181
546:2x 3x 7x 13
299:13x 23
865:5x 173
478:2x 239
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 = 61088071398900/(1x130)
LCM = 61088071398900/130
LCM = 469908241530
Thus, we can understand that the LCM of 905,546,299,865,478 is 469908241530.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 905, 546, 299, 865, 478
1. What is the LCM of 905, 546, 299, 865, 478?
Answer: LCM of 905, 546, 299, 865, 478 is 469908241530.
2. How to calculate the LCM of 905, 546, 299, 865, 478?
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 905, 546, 299, 865, 478.
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}.