LCM of 391, 263, 690, 483, 947
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 391, 263, 690, 483, 947 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 391, 263, 690, 483, 947. So, keep reading to learn more.
Given numbers are 391,263,690,483,947
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 391,263,690,483,947 is 20450398710.
Find LCM of 391,263,690,483,947 with Prime Factorization
| 3 | 391, 263, 690, 483, 947 |
| 23 | 391, 263, 230, 161, 947 |
| 17, 263, 10, 7, 947 |
Multiply the prime numbers at the bottom and the left side.
3 x 23 x 17 x 263 x 10 x 7 x 947 = 20450398710
Therefore, the lowest common multiple of 391,263,690,483,947 is 20450398710.
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.
391 x 263 x 690 x 483 x 947 = 32454782752770
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.
391 : 1, 17, 23, 391
263 : 1, 263
690 : 1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690
483 : 1, 3, 7, 21, 23, 69, 161, 483
947 : 1, 947
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 391,263,690,483,947, is 1.
Now, the common factors can be found like this.
391:17x 23
263:263
690:2x 3x 5x 23
483:3x 7x 23
947:947
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 23x 23 = 1587
Therefore, the value for common factors is 1587.
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 = 32454782752770/(1x1587)
LCM = 32454782752770/1587
LCM = 20450398710
Thus, we can understand that the LCM of 391,263,690,483,947 is 20450398710.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 391, 263, 690, 483, 947
1. What is the LCM of 391, 263, 690, 483, 947?
Answer: LCM of 391, 263, 690, 483, 947 is 20450398710.
2. How to calculate the LCM of 391, 263, 690, 483, 947?
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 391, 263, 690, 483, 947.
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}.