LCM of 457, 266, 133, 617
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 457, 266, 133, 617 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 457, 266, 133, 617. So, keep reading to learn more.
Given numbers are 457,266,133,617
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 457,266,133,617 is 75003754.
Find LCM of 457,266,133,617 with Prime Factorization
| 7 | 457, 266, 133, 617 |
| 19 | 457, 38, 19, 617 |
| 457, 2, 1, 617 |
Multiply the prime numbers at the bottom and the left side.
7 x 19 x 457 x 2 x 1 x 617 = 75003754
Therefore, the lowest common multiple of 457,266,133,617 is 75003754.
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.
457 x 266 x 133 x 617 = 9975499282
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.
457 : 1, 457
266 : 1, 2, 7, 14, 19, 38, 133, 266
133 : 1, 7, 19, 133
617 : 1, 617
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 457,266,133,617, is 1.
Now, the common factors can be found like this.
457:457
266:2x 7x 19
133:7x 19
617:617
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
7x 19 = 133
Therefore, the value for common factors is 133.
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 = 9975499282/(1x133)
LCM = 9975499282/133
LCM = 75003754
Thus, we can understand that the LCM of 457,266,133,617 is 75003754.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 457, 266, 133, 617
1. What is the LCM of 457, 266, 133, 617?
Answer: LCM of 457, 266, 133, 617 is 75003754.
2. How to calculate the LCM of 457, 266, 133, 617?
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 457, 266, 133, 617.
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}.