LCM of 930, 420, 463, 918
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 930, 420, 463, 918 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 930, 420, 463, 918. So, keep reading to learn more.
Given numbers are 930,420,463,918
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 930,420,463,918 is 922323780.
Find LCM of 930,420,463,918 with Prime Factorization
| 2 | 930, 420, 463, 918 |
| 3 | 465, 210, 463, 459 |
| 5 | 155, 70, 463, 153 |
| 31, 14, 463, 153 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 31 x 14 x 463 x 153 = 922323780
Therefore, the lowest common multiple of 930,420,463,918 is 922323780.
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.
930 x 420 x 463 x 918 = 166018280400
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.
930 : 1, 2, 3, 5, 6, 10, 15, 30, 31, 62, 93, 155, 186, 310, 465, 930
420 : 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420
463 : 1, 463
918 : 1, 2, 3, 6, 9, 17, 18, 27, 34, 51, 54, 102, 153, 306, 459, 918
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 930,420,463,918, is 1.
Now, the common factors can be found like this.
930:2x 3x 5x 31
420:2x 2x 3x 5x 7
463:463
918:2x 3x 3x 3x 17
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 3x 5 = 180
Therefore, the value for common factors is 180.
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 = 166018280400/(1x180)
LCM = 166018280400/180
LCM = 922323780
Thus, we can understand that the LCM of 930,420,463,918 is 922323780.
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FAQs on LCM of 930, 420, 463, 918
1. What is the LCM of 930, 420, 463, 918?
Answer: LCM of 930, 420, 463, 918 is 922323780.
2. How to calculate the LCM of 930, 420, 463, 918?
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 930, 420, 463, 918.
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}.