LCM of 566, 610, 308, 735
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 566, 610, 308, 735 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 566, 610, 308, 735. So, keep reading to learn more.
Given numbers are 566,610,308,735
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 566,610,308,735 is 558285420.
Find LCM of 566,610,308,735 with Prime Factorization
| 2 | 566, 610, 308, 735 |
| 5 | 283, 305, 154, 735 |
| 7 | 283, 61, 154, 147 |
| 283, 61, 22, 21 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 7 x 283 x 61 x 22 x 21 = 558285420
Therefore, the lowest common multiple of 566,610,308,735 is 558285420.
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.
566 x 610 x 308 x 735 = 78159958800
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.
566 : 1, 2, 283, 566
610 : 1, 2, 5, 10, 61, 122, 305, 610
308 : 1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308
735 : 1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 566,610,308,735, is 1.
Now, the common factors can be found like this.
566:2x 283
610:2x 5x 61
308:2x 2x 7x 11
735:3x 5x 7x 7
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 5x 7 = 140
Therefore, the value for common factors is 140.
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 = 78159958800/(1x140)
LCM = 78159958800/140
LCM = 558285420
Thus, we can understand that the LCM of 566,610,308,735 is 558285420.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 566, 610, 308, 735
1. What is the LCM of 566, 610, 308, 735?
Answer: LCM of 566, 610, 308, 735 is 558285420.
2. How to calculate the LCM of 566, 610, 308, 735?
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 566, 610, 308, 735.
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}.