LCM of 945, 975, 858, 818, 955
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 945, 975, 858, 818, 955 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 945, 975, 858, 818, 955. So, keep reading to learn more.
Given numbers are 945,975,858,818,955
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 945,975,858,818,955 is 105566110650.
Find LCM of 945,975,858,818,955 with Prime Factorization
| 2 | 945, 975, 858, 818, 955 |
| 3 | 945, 975, 429, 409, 955 |
| 5 | 315, 325, 143, 409, 955 |
| 13 | 63, 65, 143, 409, 191 |
| 63, 5, 11, 409, 191 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 13 x 63 x 5 x 11 x 409 x 191 = 105566110650
Therefore, the lowest common multiple of 945,975,858,818,955 is 105566110650.
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.
945 x 975 x 858 x 818 x 955 = 617561747302500
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.
945 : 1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 63, 105, 135, 189, 315, 945
975 : 1, 3, 5, 13, 15, 25, 39, 65, 75, 195, 325, 975
858 : 1, 2, 3, 6, 11, 13, 22, 26, 33, 39, 66, 78, 143, 286, 429, 858
818 : 1, 2, 409, 818
955 : 1, 5, 191, 955
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 945,975,858,818,955, is 1.
Now, the common factors can be found like this.
945:3x 3x 3x 5x 7
975:3x 5x 5x 13
858:2x 3x 11x 13
818:2x 409
955:5x 191
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 3x 5x 5x 13 = 5850
Therefore, the value for common factors is 5850.
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 = 617561747302500/(1x5850)
LCM = 617561747302500/5850
LCM = 105566110650
Thus, we can understand that the LCM of 945,975,858,818,955 is 105566110650.
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FAQs on LCM of 945, 975, 858, 818, 955
1. What is the LCM of 945, 975, 858, 818, 955?
Answer: LCM of 945, 975, 858, 818, 955 is 105566110650.
2. How to calculate the LCM of 945, 975, 858, 818, 955?
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 945, 975, 858, 818, 955.
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}.