LCM of 309, 942, 618, 276, 966
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 309, 942, 618, 276, 966 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 309, 942, 618, 276, 966. So, keep reading to learn more.
Given numbers are 309,942,618,276,966
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 309,942,618,276,966 is 31242372.
Find LCM of 309,942,618,276,966 with Prime Factorization
| 2 | 309, 942, 618, 276, 966 |
| 3 | 309, 471, 309, 138, 483 |
| 23 | 103, 157, 103, 46, 161 |
| 103 | 103, 157, 103, 2, 7 |
| 1, 157, 1, 2, 7 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 23 x 103 x 1 x 157 x 1 x 2 x 7 = 31242372
Therefore, the lowest common multiple of 309,942,618,276,966 is 31242372.
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.
309 x 942 x 618 x 276 x 966 = 47960540165664
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.
309 : 1, 3, 103, 309
942 : 1, 2, 3, 6, 157, 314, 471, 942
618 : 1, 2, 3, 6, 103, 206, 309, 618
276 : 1, 2, 3, 4, 6, 12, 23, 46, 69, 92, 138, 276
966 : 1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 69, 138, 161, 322, 483, 966
3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 309,942,618,276,966, is 3.
Now, the common factors can be found like this.
309:3x 103
942:2x 3x 157
618:2x 3x 103
276:2x 2x 3x 23
966:2x 3x 7x 23
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 23x 103 = 511704
Therefore, the value for common factors is 511704.
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 = 47960540165664/(3x511704)
LCM = 47960540165664/1535112
LCM = 31242372
Thus, we can understand that the LCM of 309,942,618,276,966 is 31242372.
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FAQs on LCM of 309, 942, 618, 276, 966
1. What is the LCM of 309, 942, 618, 276, 966?
Answer: LCM of 309, 942, 618, 276, 966 is 31242372.
2. How to calculate the LCM of 309, 942, 618, 276, 966?
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 309, 942, 618, 276, 966.
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}.