LCM of 473, 759, 143, 586
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 473, 759, 143, 586 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 473, 759, 143, 586. So, keep reading to learn more.
Given numbers are 473,759,143,586
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 473,759,143,586 is 248628666.
Find LCM of 473,759,143,586 with Prime Factorization
| 11 | 473, 759, 143, 586 |
| 43, 69, 13, 586 |
Multiply the prime numbers at the bottom and the left side.
11 x 43 x 69 x 13 x 586 = 248628666
Therefore, the lowest common multiple of 473,759,143,586 is 248628666.
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.
473 x 759 x 143 x 586 = 30084068586
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.
473 : 1, 11, 43, 473
759 : 1, 3, 11, 23, 33, 69, 253, 759
143 : 1, 11, 13, 143
586 : 1, 2, 293, 586
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 473,759,143,586, is 1.
Now, the common factors can be found like this.
473:11x 43
759:3x 11x 23
143:11x 13
586:2x 293
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
11x 11 = 121
Therefore, the value for common factors is 121.
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 = 30084068586/(1x121)
LCM = 30084068586/121
LCM = 248628666
Thus, we can understand that the LCM of 473,759,143,586 is 248628666.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 473, 759, 143, 586
1. What is the LCM of 473, 759, 143, 586?
Answer: LCM of 473, 759, 143, 586 is 248628666.
2. How to calculate the LCM of 473, 759, 143, 586?
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 473, 759, 143, 586.
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}.