LCM of 875, 646, 948, 187, 121
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 875, 646, 948, 187, 121 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 875, 646, 948, 187, 121. So, keep reading to learn more.
Given numbers are 875,646,948,187,121
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 875,646,948,187,121 is 32419348500.
Find LCM of 875,646,948,187,121 with Prime Factorization
| 2 | 875, 646, 948, 187, 121 |
| 11 | 875, 323, 474, 187, 121 |
| 17 | 875, 323, 474, 17, 11 |
| 875, 19, 474, 1, 11 |
Multiply the prime numbers at the bottom and the left side.
2 x 11 x 17 x 875 x 19 x 474 x 1 x 11 = 32419348500
Therefore, the lowest common multiple of 875,646,948,187,121 is 32419348500.
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.
875 x 646 x 948 x 187 x 121 = 12124836339000
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.
875 : 1, 5, 7, 25, 35, 125, 175, 875
646 : 1, 2, 17, 19, 34, 38, 323, 646
948 : 1, 2, 3, 4, 6, 12, 79, 158, 237, 316, 474, 948
187 : 1, 11, 17, 187
121 : 1, 11, 121
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 875,646,948,187,121, is 1.
Now, the common factors can be found like this.
875:5x 5x 5x 7
646:2x 17x 19
948:2x 2x 3x 79
187:11x 17
121:11x 11
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 11x 17 = 374
Therefore, the value for common factors is 374.
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 = 12124836339000/(1x374)
LCM = 12124836339000/374
LCM = 32419348500
Thus, we can understand that the LCM of 875,646,948,187,121 is 32419348500.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 875, 646, 948, 187, 121
1. What is the LCM of 875, 646, 948, 187, 121?
Answer: LCM of 875, 646, 948, 187, 121 is 32419348500.
2. How to calculate the LCM of 875, 646, 948, 187, 121?
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 875, 646, 948, 187, 121.
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}.