LCM of 694, 748, 546, 228, 606
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 694, 748, 546, 228, 606 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, 748, 546, 228, 606. So, keep reading to learn more.
Given numbers are 694,748,546,228,606
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 694,748,546,228,606 is 135978014172.
Find LCM of 694,748,546,228,606 with Prime Factorization
| 2 | 694, 748, 546, 228, 606 |
| 2 | 347, 374, 273, 114, 303 |
| 3 | 347, 187, 273, 57, 303 |
| 347, 187, 91, 19, 101 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 347 x 187 x 91 x 19 x 101 = 135978014172
Therefore, the lowest common multiple of 694,748,546,228,606 is 135978014172.
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 748 x 546 x 228 x 606 = 39161668081536
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
748 : 1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748
546 : 1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 182, 273, 546
228 : 1, 2, 3, 4, 6, 12, 19, 38, 57, 76, 114, 228
606 : 1, 2, 3, 6, 101, 202, 303, 606
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 694,748,546,228,606, is 2.
Now, the common factors can be found like this.
694:2x 347
748:2x 2x 11x 17
546:2x 3x 7x 13
228:2x 2x 3x 19
606:2x 3x 101
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 3x 3 = 144
Therefore, the value for common factors is 144.
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 = 39161668081536/(2x144)
LCM = 39161668081536/288
LCM = 135978014172
Thus, we can understand that the LCM of 694,748,546,228,606 is 135978014172.
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FAQs on LCM of 694, 748, 546, 228, 606
1. What is the LCM of 694, 748, 546, 228, 606?
Answer: LCM of 694, 748, 546, 228, 606 is 135978014172.
2. How to calculate the LCM of 694, 748, 546, 228, 606?
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, 748, 546, 228, 606.
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}.