LCM of 694, 562, 347, 414, 281
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 694, 562, 347, 414, 281 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, 562, 347, 414, 281. So, keep reading to learn more.
Given numbers are 694,562,347,414,281
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 694,562,347,414,281 is 40367898.
Find LCM of 694,562,347,414,281 with Prime Factorization
| 2 | 694, 562, 347, 414, 281 |
| 281 | 347, 281, 347, 207, 281 |
| 347 | 347, 1, 347, 207, 1 |
| 1, 1, 1, 207, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 281 x 347 x 1 x 1 x 1 x 207 x 1 = 40367898
Therefore, the lowest common multiple of 694,562,347,414,281 is 40367898.
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 562 x 347 x 414 x 281 = 15744610521144
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
562 : 1, 2, 281, 562
347 : 1, 347
414 : 1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414
281 : 1, 281
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 694,562,347,414,281, is 1.
Now, the common factors can be found like this.
694:2x 347
562:2x 281
347:347
414:2x 3x 3x 23
281:281
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 281x 347 = 390028
Therefore, the value for common factors is 390028.
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 = 15744610521144/(1x390028)
LCM = 15744610521144/390028
LCM = 40367898
Thus, we can understand that the LCM of 694,562,347,414,281 is 40367898.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 694, 562, 347, 414, 281
1. What is the LCM of 694, 562, 347, 414, 281?
Answer: LCM of 694, 562, 347, 414, 281 is 40367898.
2. How to calculate the LCM of 694, 562, 347, 414, 281?
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, 562, 347, 414, 281.
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}.