LCM of 578, 690, 735, 106, 208
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 578, 690, 735, 106, 208 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 578, 690, 735, 106, 208. So, keep reading to learn more.
Given numbers are 578,690,735,106,208
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 578,690,735,106,208 is 53858248080.
Find LCM of 578,690,735,106,208 with Prime Factorization
| 2 | 578, 690, 735, 106, 208 |
| 3 | 289, 345, 735, 53, 104 |
| 5 | 289, 115, 245, 53, 104 |
| 289, 23, 49, 53, 104 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 289 x 23 x 49 x 53 x 104 = 53858248080
Therefore, the lowest common multiple of 578,690,735,106,208 is 53858248080.
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.
578 x 690 x 735 x 106 x 208 = 6462989769600
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.
578 : 1, 2, 17, 34, 289, 578
690 : 1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690
735 : 1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735
106 : 1, 2, 53, 106
208 : 1, 2, 4, 8, 13, 16, 26, 52, 104, 208
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 578,690,735,106,208, is 1.
Now, the common factors can be found like this.
578:2x 17x 17
690:2x 3x 5x 23
735:3x 5x 7x 7
106:2x 53
208:2x 2x 2x 2x 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 3x 5 = 120
Therefore, the value for common factors is 120.
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 = 6462989769600/(1x120)
LCM = 6462989769600/120
LCM = 53858248080
Thus, we can understand that the LCM of 578,690,735,106,208 is 53858248080.
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FAQs on LCM of 578, 690, 735, 106, 208
1. What is the LCM of 578, 690, 735, 106, 208?
Answer: LCM of 578, 690, 735, 106, 208 is 53858248080.
2. How to calculate the LCM of 578, 690, 735, 106, 208?
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 578, 690, 735, 106, 208.
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}.