LCM of 216, 982, 564, 456
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 216, 982, 564, 456 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 216, 982, 564, 456. So, keep reading to learn more.
Given numbers are 216,982,564,456
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 216,982,564,456 is 94708008.
Find LCM of 216,982,564,456 with Prime Factorization
| 2 | 216, 982, 564, 456 |
| 2 | 108, 491, 282, 228 |
| 2 | 54, 491, 141, 114 |
| 3 | 27, 491, 141, 57 |
| 9, 491, 47, 19 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 9 x 491 x 47 x 19 = 94708008
Therefore, the lowest common multiple of 216,982,564,456 is 94708008.
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.
216 x 982 x 564 x 456 = 54551812608
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.
216 : 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216
982 : 1, 2, 491, 982
564 : 1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564
456 : 1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 216,982,564,456, is 2.
Now, the common factors can be found like this.
216:2x 2x 2x 3x 3x 3
982:2x 491
564:2x 2x 3x 47
456:2x 2x 2x 3x 19
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 3 = 288
Therefore, the value for common factors is 288.
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 = 54551812608/(2x288)
LCM = 54551812608/576
LCM = 94708008
Thus, we can understand that the LCM of 216,982,564,456 is 94708008.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 216, 982, 564, 456
1. What is the LCM of 216, 982, 564, 456?
Answer: LCM of 216, 982, 564, 456 is 94708008.
2. How to calculate the LCM of 216, 982, 564, 456?
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 216, 982, 564, 456.
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}.