LCM of 505, 946, 740, 147
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 505, 946, 740, 147 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 505, 946, 740, 147. So, keep reading to learn more.
Given numbers are 505,946,740,147
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 505,946,740,147 is 5196746940.
Find LCM of 505,946,740,147 with Prime Factorization
| 2 | 505, 946, 740, 147 |
| 5 | 505, 473, 370, 147 |
| 101, 473, 74, 147 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 101 x 473 x 74 x 147 = 5196746940
Therefore, the lowest common multiple of 505,946,740,147 is 5196746940.
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.
505 x 946 x 740 x 147 = 51967469400
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.
505 : 1, 5, 101, 505
946 : 1, 2, 11, 22, 43, 86, 473, 946
740 : 1, 2, 4, 5, 10, 20, 37, 74, 148, 185, 370, 740
147 : 1, 3, 7, 21, 49, 147
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 505,946,740,147, is 1.
Now, the common factors can be found like this.
505:5x 101
946:2x 11x 43
740:2x 2x 5x 37
147:3x 7x 7
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 5 = 10
Therefore, the value for common factors is 10.
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 = 51967469400/(1x10)
LCM = 51967469400/10
LCM = 5196746940
Thus, we can understand that the LCM of 505,946,740,147 is 5196746940.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 505, 946, 740, 147
1. What is the LCM of 505, 946, 740, 147?
Answer: LCM of 505, 946, 740, 147 is 5196746940.
2. How to calculate the LCM of 505, 946, 740, 147?
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 505, 946, 740, 147.
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}.