LCM of 471, 348, 492, 969
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 471, 348, 492, 969 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, 348, 492, 969. So, keep reading to learn more.
Given numbers are 471,348,492,969
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 471,348,492,969 is 723544548.
Find LCM of 471,348,492,969 with Prime Factorization
| 2 | 471, 348, 492, 969 |
| 2 | 471, 174, 246, 969 |
| 3 | 471, 87, 123, 969 |
| 157, 29, 41, 323 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 157 x 29 x 41 x 323 = 723544548
Therefore, the lowest common multiple of 471,348,492,969 is 723544548.
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 348 x 492 x 969 = 78142811184
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
348 : 1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348
492 : 1, 2, 3, 4, 6, 12, 41, 82, 123, 164, 246, 492
969 : 1, 3, 17, 19, 51, 57, 323, 969
3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 471,348,492,969, is 3.
Now, the common factors can be found like this.
471:3x 157
348:2x 2x 3x 29
492:2x 2x 3x 41
969:3x 17x 19
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 3x 3 = 36
Therefore, the value for common factors is 36.
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 = 78142811184/(3x36)
LCM = 78142811184/108
LCM = 723544548
Thus, we can understand that the LCM of 471,348,492,969 is 723544548.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 471, 348, 492, 969
1. What is the LCM of 471, 348, 492, 969?
Answer: LCM of 471, 348, 492, 969 is 723544548.
2. How to calculate the LCM of 471, 348, 492, 969?
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, 348, 492, 969.
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}.