LCM of 225, 740, 453, 986
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 225, 740, 453, 986 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 225, 740, 453, 986. So, keep reading to learn more.
Given numbers are 225,740,453,986
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 225,740,453,986 is 2478951900.
Find LCM of 225,740,453,986 with Prime Factorization
| 2 | 225, 740, 453, 986 |
| 3 | 225, 370, 453, 493 |
| 5 | 75, 370, 151, 493 |
| 15, 74, 151, 493 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 15 x 74 x 151 x 493 = 2478951900
Therefore, the lowest common multiple of 225,740,453,986 is 2478951900.
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.
225 x 740 x 453 x 986 = 74368557000
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.
225 : 1, 3, 5, 9, 15, 25, 45, 75, 225
740 : 1, 2, 4, 5, 10, 20, 37, 74, 148, 185, 370, 740
453 : 1, 3, 151, 453
986 : 1, 2, 17, 29, 34, 58, 493, 986
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 225,740,453,986, is 1.
Now, the common factors can be found like this.
225:3x 3x 5x 5
740:2x 2x 5x 37
453:3x 151
986:2x 17x 29
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 5 = 30
Therefore, the value for common factors is 30.
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 = 74368557000/(1x30)
LCM = 74368557000/30
LCM = 2478951900
Thus, we can understand that the LCM of 225,740,453,986 is 2478951900.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 225, 740, 453, 986
1. What is the LCM of 225, 740, 453, 986?
Answer: LCM of 225, 740, 453, 986 is 2478951900.
2. How to calculate the LCM of 225, 740, 453, 986?
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 225, 740, 453, 986.
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}.