LCM of 146, 651, 310, 731
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 146, 651, 310, 731 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 146, 651, 310, 731. So, keep reading to learn more.
Given numbers are 146,651,310,731
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 146,651,310,731 is 347393130.
Find LCM of 146,651,310,731 with Prime Factorization
| 2 | 146, 651, 310, 731 |
| 31 | 73, 651, 155, 731 |
| 73, 21, 5, 731 |
Multiply the prime numbers at the bottom and the left side.
2 x 31 x 73 x 21 x 5 x 731 = 347393130
Therefore, the lowest common multiple of 146,651,310,731 is 347393130.
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.
146 x 651 x 310 x 731 = 21538374060
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.
146 : 1, 2, 73, 146
651 : 1, 3, 7, 21, 31, 93, 217, 651
310 : 1, 2, 5, 10, 31, 62, 155, 310
731 : 1, 17, 43, 731
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 146,651,310,731, is 1.
Now, the common factors can be found like this.
146:2x 73
651:3x 7x 31
310:2x 5x 31
731:17x 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 31 = 62
Therefore, the value for common factors is 62.
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 = 21538374060/(1x62)
LCM = 21538374060/62
LCM = 347393130
Thus, we can understand that the LCM of 146,651,310,731 is 347393130.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 146, 651, 310, 731
1. What is the LCM of 146, 651, 310, 731?
Answer: LCM of 146, 651, 310, 731 is 347393130.
2. How to calculate the LCM of 146, 651, 310, 731?
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 146, 651, 310, 731.
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}.