LCM of 930, 432, 540, 840
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 930, 432, 540, 840 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, 432, 540, 840. So, keep reading to learn more.
Given numbers are 930,432,540,840
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 930,432,540,840 is 468720.
Find LCM of 930,432,540,840 with Prime Factorization
| 2 | 930, 432, 540, 840 |
| 2 | 465, 216, 270, 420 |
| 2 | 465, 108, 135, 210 |
| 3 | 465, 54, 135, 105 |
| 3 | 155, 18, 45, 35 |
| 3 | 155, 6, 15, 35 |
| 5 | 155, 2, 5, 35 |
| 31, 2, 1, 7 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 3 x 3 x 5 x 31 x 2 x 1 x 7 = 468720
Therefore, the lowest common multiple of 930,432,540,840 is 468720.
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 432 x 540 x 840 = 182238336000
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
432 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 144, 216, 432
540 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 90, 108, 135, 180, 270, 540
840 : 1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 70, 84, 105, 120, 140, 168, 210, 280, 420, 840
6 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 930,432,540,840, is 6.
Now, the common factors can be found like this.
930:2x 3x 5x 31
432:2x 2x 2x 2x 3x 3x 3
540:2x 2x 3x 3x 3x 5
840:2x 2x 2x 3x 5x 7
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 2x 2x 3x 3x 3x 3x 5x 5 = 64800
Therefore, the value for common factors is 64800.
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 = 182238336000/(6x64800)
LCM = 182238336000/388800
LCM = 468720
Thus, we can understand that the LCM of 930,432,540,840 is 468720.
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FAQs on LCM of 930, 432, 540, 840
1. What is the LCM of 930, 432, 540, 840?
Answer: LCM of 930, 432, 540, 840 is 468720.
2. How to calculate the LCM of 930, 432, 540, 840?
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, 432, 540, 840.
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}.