LCM of 303, 262, 252, 707
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 303, 262, 252, 707 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 303, 262, 252, 707. So, keep reading to learn more.
Given numbers are 303,262,252,707
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 303,262,252,707 is 3334212.
Find LCM of 303,262,252,707 with Prime Factorization
| 2 | 303, 262, 252, 707 |
| 3 | 303, 131, 126, 707 |
| 7 | 101, 131, 42, 707 |
| 101 | 101, 131, 6, 101 |
| 1, 131, 6, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 7 x 101 x 1 x 131 x 6 x 1 = 3334212
Therefore, the lowest common multiple of 303,262,252,707 is 3334212.
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.
303 x 262 x 252 x 707 = 14143727304
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.
303 : 1, 3, 101, 303
262 : 1, 2, 131, 262
252 : 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 252
707 : 1, 7, 101, 707
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 303,262,252,707, is 1.
Now, the common factors can be found like this.
303:3x 101
262:2x 131
252:2x 2x 3x 3x 7
707:7x 101
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 7x 101 = 4242
Therefore, the value for common factors is 4242.
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 = 14143727304/(1x4242)
LCM = 14143727304/4242
LCM = 3334212
Thus, we can understand that the LCM of 303,262,252,707 is 3334212.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 303, 262, 252, 707
1. What is the LCM of 303, 262, 252, 707?
Answer: LCM of 303, 262, 252, 707 is 3334212.
2. How to calculate the LCM of 303, 262, 252, 707?
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 303, 262, 252, 707.
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}.