LCM of 694, 429, 649, 884, 561
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 694, 429, 649, 884, 561 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 694, 429, 649, 884, 561. So, keep reading to learn more.
Given numbers are 694,429,649,884,561
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 694,429,649,884,561 is 597238356.
Find LCM of 694,429,649,884,561 with Prime Factorization
| 2 | 694, 429, 649, 884, 561 |
| 3 | 347, 429, 649, 442, 561 |
| 11 | 347, 143, 649, 442, 187 |
| 13 | 347, 13, 59, 442, 17 |
| 17 | 347, 1, 59, 34, 17 |
| 347, 1, 59, 2, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 11 x 13 x 17 x 347 x 1 x 59 x 2 x 1 = 597238356
Therefore, the lowest common multiple of 694,429,649,884,561 is 597238356.
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.
694 x 429 x 649 x 884 x 561 = 95824505266776
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.
694 : 1, 2, 347, 694
429 : 1, 3, 11, 13, 33, 39, 143, 429
649 : 1, 11, 59, 649
884 : 1, 2, 4, 13, 17, 26, 34, 52, 68, 221, 442, 884
561 : 1, 3, 11, 17, 33, 51, 187, 561
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 694,429,649,884,561, is 1.
Now, the common factors can be found like this.
694:2x 347
429:3x 11x 13
649:11x 59
884:2x 2x 13x 17
561:3x 11x 17
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 11x 11x 13x 17 = 160446
Therefore, the value for common factors is 160446.
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 = 95824505266776/(1x160446)
LCM = 95824505266776/160446
LCM = 597238356
Thus, we can understand that the LCM of 694,429,649,884,561 is 597238356.
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FAQs on LCM of 694, 429, 649, 884, 561
1. What is the LCM of 694, 429, 649, 884, 561?
Answer: LCM of 694, 429, 649, 884, 561 is 597238356.
2. How to calculate the LCM of 694, 429, 649, 884, 561?
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 694, 429, 649, 884, 561.
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}.