LCM of 252, 171, 133, 708, 786
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 252, 171, 133, 708, 786 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 252, 171, 133, 708, 786. So, keep reading to learn more.
Given numbers are 252,171,133,708,786
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 252,171,133,708,786 is 37006452.
Find LCM of 252,171,133,708,786 with Prime Factorization
| 2 | 252, 171, 133, 708, 786 |
| 2 | 126, 171, 133, 354, 393 |
| 3 | 63, 171, 133, 177, 393 |
| 3 | 21, 57, 133, 59, 131 |
| 7 | 7, 19, 133, 59, 131 |
| 19 | 1, 19, 19, 59, 131 |
| 1, 1, 1, 59, 131 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 7 x 19 x 1 x 1 x 1 x 59 x 131 = 37006452
Therefore, the lowest common multiple of 252,171,133,708,786 is 37006452.
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.
252 x 171 x 133 x 708 x 786 = 3189364059168
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.
252 : 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 252
171 : 1, 3, 9, 19, 57, 171
133 : 1, 7, 19, 133
708 : 1, 2, 3, 4, 6, 12, 59, 118, 177, 236, 354, 708
786 : 1, 2, 3, 6, 131, 262, 393, 786
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 252,171,133,708,786, is 1.
Now, the common factors can be found like this.
252:2x 2x 3x 3x 7
171:3x 3x 19
133:7x 19
708:2x 2x 3x 59
786:2x 3x 131
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2x 2x 3x 3x 3x 3x 7x 19 = 86184
Therefore, the value for common factors is 86184.
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 = 3189364059168/(1x86184)
LCM = 3189364059168/86184
LCM = 37006452
Thus, we can understand that the LCM of 252,171,133,708,786 is 37006452.
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FAQs on LCM of 252, 171, 133, 708, 786
1. What is the LCM of 252, 171, 133, 708, 786?
Answer: LCM of 252, 171, 133, 708, 786 is 37006452.
2. How to calculate the LCM of 252, 171, 133, 708, 786?
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 252, 171, 133, 708, 786.
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}.