LCM of 362, 480, 871, 905
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 362, 480, 871, 905 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 362, 480, 871, 905. So, keep reading to learn more.
Given numbers are 362,480,871,905
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 362,480,871,905 is 75672480.
Find LCM of 362,480,871,905 with Prime Factorization
| 2 | 362, 480, 871, 905 |
| 5 | 181, 240, 871, 905 |
| 181 | 181, 48, 871, 181 |
| 1, 48, 871, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 181 x 1 x 48 x 871 x 1 = 75672480
Therefore, the lowest common multiple of 362,480,871,905 is 75672480.
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.
362 x 480 x 871 x 905 = 136967188800
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.
362 : 1, 2, 181, 362
480 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 120, 160, 240, 480
871 : 1, 13, 67, 871
905 : 1, 5, 181, 905
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 362,480,871,905, is 1.
Now, the common factors can be found like this.
362:2x 181
480:2x 2x 2x 2x 2x 3x 5
871:13x 67
905:5x 181
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 181 = 1810
Therefore, the value for common factors is 1810.
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 = 136967188800/(1x1810)
LCM = 136967188800/1810
LCM = 75672480
Thus, we can understand that the LCM of 362,480,871,905 is 75672480.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 362, 480, 871, 905
1. What is the LCM of 362, 480, 871, 905?
Answer: LCM of 362, 480, 871, 905 is 75672480.
2. How to calculate the LCM of 362, 480, 871, 905?
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 362, 480, 871, 905.
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}.