LCM of 474, 581, 459, 945, 631
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 474, 581, 459, 945, 631 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 474, 581, 459, 945, 631. So, keep reading to learn more.
Given numbers are 474,581,459,945,631
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 474,581,459,945,631 is 132936814710.
Find LCM of 474,581,459,945,631 with Prime Factorization
| 3 | 474, 581, 459, 945, 631 |
| 3 | 158, 581, 153, 315, 631 |
| 3 | 158, 581, 51, 105, 631 |
| 7 | 158, 581, 17, 35, 631 |
| 158, 83, 17, 5, 631 |
Multiply the prime numbers at the bottom and the left side.
3 x 3 x 3 x 7 x 158 x 83 x 17 x 5 x 631 = 132936814710
Therefore, the lowest common multiple of 474,581,459,945,631 is 132936814710.
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.
474 x 581 x 459 x 945 x 631 = 75375173940570
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.
474 : 1, 2, 3, 6, 79, 158, 237, 474
581 : 1, 7, 83, 581
459 : 1, 3, 9, 17, 27, 51, 153, 459
945 : 1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 63, 105, 135, 189, 315, 945
631 : 1, 631
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 474,581,459,945,631, is 1.
Now, the common factors can be found like this.
474:2x 3x 79
581:7x 83
459:3x 3x 3x 17
945:3x 3x 3x 5x 7
631:631
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3x 3x 3x 7 = 567
Therefore, the value for common factors is 567.
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 = 75375173940570/(1x567)
LCM = 75375173940570/567
LCM = 132936814710
Thus, we can understand that the LCM of 474,581,459,945,631 is 132936814710.
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FAQs on LCM of 474, 581, 459, 945, 631
1. What is the LCM of 474, 581, 459, 945, 631?
Answer: LCM of 474, 581, 459, 945, 631 is 132936814710.
2. How to calculate the LCM of 474, 581, 459, 945, 631?
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 474, 581, 459, 945, 631.
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}.