LCM of 147, 324, 584, 319, 957
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 147, 324, 584, 319, 957 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 147, 324, 584, 319, 957. So, keep reading to learn more.
Given numbers are 147,324,584,319,957
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 147,324,584,319,957 is 739408824.
Find LCM of 147,324,584,319,957 with Prime Factorization
| 2 | 147, 324, 584, 319, 957 |
| 2 | 147, 162, 292, 319, 957 |
| 3 | 147, 81, 146, 319, 957 |
| 11 | 49, 27, 146, 319, 319 |
| 29 | 49, 27, 146, 29, 29 |
| 49, 27, 146, 1, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 11 x 29 x 49 x 27 x 146 x 1 x 1 = 739408824
Therefore, the lowest common multiple of 147,324,584,319,957 is 739408824.
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.
147 x 324 x 584 x 319 x 957 = 8491370934816
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.
147 : 1, 3, 7, 21, 49, 147
324 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 324
584 : 1, 2, 4, 8, 73, 146, 292, 584
319 : 1, 11, 29, 319
957 : 1, 3, 11, 29, 33, 87, 319, 957
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 147,324,584,319,957, is 1.
Now, the common factors can be found like this.
147:3x 7x 7
324:2x 2x 3x 3x 3x 3
584:2x 2x 2x 73
319:11x 29
957:3x 11x 29
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 11x 29 = 11484
Therefore, the value for common factors is 11484.
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 = 8491370934816/(1x11484)
LCM = 8491370934816/11484
LCM = 739408824
Thus, we can understand that the LCM of 147,324,584,319,957 is 739408824.
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FAQs on LCM of 147, 324, 584, 319, 957
1. What is the LCM of 147, 324, 584, 319, 957?
Answer: LCM of 147, 324, 584, 319, 957 is 739408824.
2. How to calculate the LCM of 147, 324, 584, 319, 957?
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 147, 324, 584, 319, 957.
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}.