LCM of 187, 708, 892, 449
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 187, 708, 892, 449 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 187, 708, 892, 449. So, keep reading to learn more.
Given numbers are 187,708,892,449
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 187,708,892,449 is 13256414292.
Find LCM of 187,708,892,449 with Prime Factorization
| 2 | 187, 708, 892, 449 |
| 2 | 187, 354, 446, 449 |
| 187, 177, 223, 449 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 187 x 177 x 223 x 449 = 13256414292
Therefore, the lowest common multiple of 187,708,892,449 is 13256414292.
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.
187 x 708 x 892 x 449 = 53025657168
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.
187 : 1, 11, 17, 187
708 : 1, 2, 3, 4, 6, 12, 59, 118, 177, 236, 354, 708
892 : 1, 2, 4, 223, 446, 892
449 : 1, 449
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 187,708,892,449, is 1.
Now, the common factors can be found like this.
187:11x 17
708:2x 2x 3x 59
892:2x 2x 223
449:449
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2 = 4
Therefore, the value for common factors is 4.
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 = 53025657168/(1x4)
LCM = 53025657168/4
LCM = 13256414292
Thus, we can understand that the LCM of 187,708,892,449 is 13256414292.
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FAQs on LCM of 187, 708, 892, 449
1. What is the LCM of 187, 708, 892, 449?
Answer: LCM of 187, 708, 892, 449 is 13256414292.
2. How to calculate the LCM of 187, 708, 892, 449?
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 187, 708, 892, 449.
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}.