LCM of 972, 693, 704, 159, 318
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 972, 693, 704, 159, 318 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 972, 693, 704, 159, 318. So, keep reading to learn more.
Given numbers are 972,693,704,159,318
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 972,693,704,159,318 is 63467712.
Find LCM of 972,693,704,159,318 with Prime Factorization
| 2 | 972, 693, 704, 159, 318 |
| 2 | 486, 693, 352, 159, 159 |
| 3 | 243, 693, 176, 159, 159 |
| 3 | 81, 231, 176, 53, 53 |
| 11 | 27, 77, 176, 53, 53 |
| 53 | 27, 7, 16, 53, 53 |
| 27, 7, 16, 1, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 11 x 53 x 27 x 7 x 16 x 1 x 1 = 63467712
Therefore, the lowest common multiple of 972,693,704,159,318 is 63467712.
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.
972 x 693 x 704 x 159 x 318 = 23977086110208
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.
972 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972
693 : 1, 3, 7, 9, 11, 21, 33, 63, 77, 99, 231, 693
704 : 1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704
159 : 1, 3, 53, 159
318 : 1, 2, 3, 6, 53, 106, 159, 318
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 972,693,704,159,318, is 1.
Now, the common factors can be found like this.
972:2x 2x 3x 3x 3x 3x 3
693:3x 3x 7x 11
704:2x 2x 2x 2x 2x 2x 11
159:3x 53
318:2x 3x 53
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 3x 11x 53 = 377784
Therefore, the value for common factors is 377784.
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 = 23977086110208/(1x377784)
LCM = 23977086110208/377784
LCM = 63467712
Thus, we can understand that the LCM of 972,693,704,159,318 is 63467712.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 972, 693, 704, 159, 318
1. What is the LCM of 972, 693, 704, 159, 318?
Answer: LCM of 972, 693, 704, 159, 318 is 63467712.
2. How to calculate the LCM of 972, 693, 704, 159, 318?
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 972, 693, 704, 159, 318.
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}.