LCM of 306, 757, 407, 865, 266
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 306, 757, 407, 865, 266 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 306, 757, 407, 865, 266. So, keep reading to learn more.
Given numbers are 306,757,407,865,266
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 306,757,407,865,266 is 10846246333230.
Find LCM of 306,757,407,865,266 with Prime Factorization
| 2 | 306, 757, 407, 865, 266 |
| 153, 757, 407, 865, 133 |
Multiply the prime numbers at the bottom and the left side.
2 x 153 x 757 x 407 x 865 x 133 = 10846246333230
Therefore, the lowest common multiple of 306,757,407,865,266 is 10846246333230.
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.
306 x 757 x 407 x 865 x 266 = 21692492666460
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.
306 : 1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 306
757 : 1, 757
407 : 1, 11, 37, 407
865 : 1, 5, 173, 865
266 : 1, 2, 7, 14, 19, 38, 133, 266
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 306,757,407,865,266, is 1.
Now, the common factors can be found like this.
306:2x 3x 3x 17
757:757
407:11x 37
865:5x 173
266:2x 7x 19
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2 = 2
Therefore, the value for common factors is 2.
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 = 21692492666460/(1x2)
LCM = 21692492666460/2
LCM = 10846246333230
Thus, we can understand that the LCM of 306,757,407,865,266 is 10846246333230.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 306, 757, 407, 865, 266
1. What is the LCM of 306, 757, 407, 865, 266?
Answer: LCM of 306, 757, 407, 865, 266 is 10846246333230.
2. How to calculate the LCM of 306, 757, 407, 865, 266?
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 306, 757, 407, 865, 266.
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}.