LCM of 965, 966, 130, 546, 403
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 965, 966, 130, 546, 403 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 965, 966, 130, 546, 403. So, keep reading to learn more.
Given numbers are 965,966,130,546,403
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 965,966,130,546,403 is 375672570.
Find LCM of 965,966,130,546,403 with Prime Factorization
| 2 | 965, 966, 130, 546, 403 |
| 3 | 965, 483, 65, 273, 403 |
| 5 | 965, 161, 65, 91, 403 |
| 7 | 193, 161, 13, 91, 403 |
| 13 | 193, 23, 13, 13, 403 |
| 193, 23, 1, 1, 31 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 7 x 13 x 193 x 23 x 1 x 1 x 31 = 375672570
Therefore, the lowest common multiple of 965,966,130,546,403 is 375672570.
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.
965 x 966 x 130 x 546 x 403 = 26665239018600
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.
965 : 1, 5, 193, 965
966 : 1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 69, 138, 161, 322, 483, 966
130 : 1, 2, 5, 10, 13, 26, 65, 130
546 : 1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 182, 273, 546
403 : 1, 13, 31, 403
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 965,966,130,546,403, is 1.
Now, the common factors can be found like this.
965:5x 193
966:2x 3x 7x 23
130:2x 5x 13
546:2x 3x 7x 13
403:13x 31
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 3x 5x 7x 13x 13 = 70980
Therefore, the value for common factors is 70980.
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 = 26665239018600/(1x70980)
LCM = 26665239018600/70980
LCM = 375672570
Thus, we can understand that the LCM of 965,966,130,546,403 is 375672570.
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FAQs on LCM of 965, 966, 130, 546, 403
1. What is the LCM of 965, 966, 130, 546, 403?
Answer: LCM of 965, 966, 130, 546, 403 is 375672570.
2. How to calculate the LCM of 965, 966, 130, 546, 403?
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 965, 966, 130, 546, 403.
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}.