LCM of 565, 545, 290, 946
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 565, 545, 290, 946 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 565, 545, 290, 946. So, keep reading to learn more.
Given numbers are 565,545,290,946
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 565,545,290,946 is 1689522890.
Find LCM of 565,545,290,946 with Prime Factorization
| 2 | 565, 545, 290, 946 |
| 5 | 565, 545, 145, 473 |
| 113, 109, 29, 473 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 113 x 109 x 29 x 473 = 1689522890
Therefore, the lowest common multiple of 565,545,290,946 is 1689522890.
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.
565 x 545 x 290 x 946 = 84476144500
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.
565 : 1, 5, 113, 565
545 : 1, 5, 109, 545
290 : 1, 2, 5, 10, 29, 58, 145, 290
946 : 1, 2, 11, 22, 43, 86, 473, 946
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 565,545,290,946, is 1.
Now, the common factors can be found like this.
565:5x 113
545:5x 109
290:2x 5x 29
946:2x 11x 43
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 5x 5 = 50
Therefore, the value for common factors is 50.
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 = 84476144500/(1x50)
LCM = 84476144500/50
LCM = 1689522890
Thus, we can understand that the LCM of 565,545,290,946 is 1689522890.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 565, 545, 290, 946
1. What is the LCM of 565, 545, 290, 946?
Answer: LCM of 565, 545, 290, 946 is 1689522890.
2. How to calculate the LCM of 565, 545, 290, 946?
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 565, 545, 290, 946.
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}.