LCM of 691, 448, 442, 528, 234
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 691, 448, 442, 528, 234 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 691, 448, 442, 528, 234. So, keep reading to learn more.
Given numbers are 691,448,442,528,234
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 691,448,442,528,234 is 6773038272.
Find LCM of 691,448,442,528,234 with Prime Factorization
| 2 | 691, 448, 442, 528, 234 |
| 2 | 691, 224, 221, 264, 117 |
| 2 | 691, 112, 221, 132, 117 |
| 2 | 691, 56, 221, 66, 117 |
| 3 | 691, 28, 221, 33, 117 |
| 13 | 691, 28, 221, 11, 39 |
| 691, 28, 17, 11, 3 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 3 x 13 x 691 x 28 x 17 x 11 x 3 = 6773038272
Therefore, the lowest common multiple of 691,448,442,528,234 is 6773038272.
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.
691 x 448 x 442 x 528 x 234 = 16905503526912
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.
691 : 1, 691
448 : 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 224, 448
442 : 1, 2, 13, 17, 26, 34, 221, 442
528 : 1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 88, 132, 176, 264, 528
234 : 1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 117, 234
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 691,448,442,528,234, is 1.
Now, the common factors can be found like this.
691:691
448:2x 2x 2x 2x 2x 2x 7
442:2x 13x 17
528:2x 2x 2x 2x 3x 11
234:2x 3x 3x 13
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 2x 2x 2x 2x 3x 13 = 2496
Therefore, the value for common factors is 2496.
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 = 16905503526912/(1x2496)
LCM = 16905503526912/2496
LCM = 6773038272
Thus, we can understand that the LCM of 691,448,442,528,234 is 6773038272.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 691, 448, 442, 528, 234
1. What is the LCM of 691, 448, 442, 528, 234?
Answer: LCM of 691, 448, 442, 528, 234 is 6773038272.
2. How to calculate the LCM of 691, 448, 442, 528, 234?
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 691, 448, 442, 528, 234.
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}.