LCM of 266, 865, 748, 285, 616
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 266, 865, 748, 285, 616 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 266, 865, 748, 285, 616. So, keep reading to learn more.
Given numbers are 266,865,748,285,616
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 266,865,748,285,616 is 516321960.
Find LCM of 266,865,748,285,616 with Prime Factorization
| 2 | 266, 865, 748, 285, 616 |
| 2 | 133, 865, 374, 285, 308 |
| 5 | 133, 865, 187, 285, 154 |
| 7 | 133, 173, 187, 57, 154 |
| 11 | 19, 173, 187, 57, 22 |
| 19 | 19, 173, 17, 57, 2 |
| 1, 173, 17, 3, 2 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 5 x 7 x 11 x 19 x 1 x 173 x 17 x 3 x 2 = 516321960
Therefore, the lowest common multiple of 266,865,748,285,616 is 516321960.
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.
266 x 865 x 748 x 285 x 616 = 30215161099200
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.
266 : 1, 2, 7, 14, 19, 38, 133, 266
865 : 1, 5, 173, 865
748 : 1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748
285 : 1, 3, 5, 15, 19, 57, 95, 285
616 : 1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 154, 308, 616
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 266,865,748,285,616, is 1.
Now, the common factors can be found like this.
266:2x 7x 19
865:5x 173
748:2x 2x 11x 17
285:3x 5x 19
616:2x 2x 2x 7x 11
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 5x 7x 11x 19 = 58520
Therefore, the value for common factors is 58520.
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 = 30215161099200/(1x58520)
LCM = 30215161099200/58520
LCM = 516321960
Thus, we can understand that the LCM of 266,865,748,285,616 is 516321960.
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FAQs on LCM of 266, 865, 748, 285, 616
1. What is the LCM of 266, 865, 748, 285, 616?
Answer: LCM of 266, 865, 748, 285, 616 is 516321960.
2. How to calculate the LCM of 266, 865, 748, 285, 616?
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 266, 865, 748, 285, 616.
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}.