LCM of 471, 216, 905, 474, 653
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 471, 216, 905, 474, 653 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 471, 216, 905, 474, 653. So, keep reading to learn more.
Given numbers are 471,216,905,474,653
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 471,216,905,474,653 is 1583223601320.
Find LCM of 471,216,905,474,653 with Prime Factorization
| 2 | 471, 216, 905, 474, 653 |
| 3 | 471, 108, 905, 237, 653 |
| 157, 36, 905, 79, 653 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 157 x 36 x 905 x 79 x 653 = 1583223601320
Therefore, the lowest common multiple of 471,216,905,474,653 is 1583223601320.
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.
471 x 216 x 905 x 474 x 653 = 28498024823760
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.
471 : 1, 3, 157, 471
216 : 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216
905 : 1, 5, 181, 905
474 : 1, 2, 3, 6, 79, 158, 237, 474
653 : 1, 653
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 471,216,905,474,653, is 1.
Now, the common factors can be found like this.
471:3x 157
216:2x 2x 2x 3x 3x 3
905:5x 181
474:2x 3x 79
653:653
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 3 = 18
Therefore, the value for common factors is 18.
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 = 28498024823760/(1x18)
LCM = 28498024823760/18
LCM = 1583223601320
Thus, we can understand that the LCM of 471,216,905,474,653 is 1583223601320.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 471, 216, 905, 474, 653
1. What is the LCM of 471, 216, 905, 474, 653?
Answer: LCM of 471, 216, 905, 474, 653 is 1583223601320.
2. How to calculate the LCM of 471, 216, 905, 474, 653?
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 471, 216, 905, 474, 653.
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}.