LCM of 276, 685, 644, 745, 957
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 276, 685, 644, 745, 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 276, 685, 644, 745, 957. So, keep reading to learn more.
Given numbers are 276,685,644,745,957
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 276,685,644,745,957 is 62903476020.
Find LCM of 276,685,644,745,957 with Prime Factorization
| 2 | 276, 685, 644, 745, 957 |
| 2 | 138, 685, 322, 745, 957 |
| 3 | 69, 685, 161, 745, 957 |
| 5 | 23, 685, 161, 745, 319 |
| 23 | 23, 137, 161, 149, 319 |
| 1, 137, 7, 149, 319 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 23 x 1 x 137 x 7 x 149 x 319 = 62903476020
Therefore, the lowest common multiple of 276,685,644,745,957 is 62903476020.
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.
276 x 685 x 644 x 745 x 957 = 86806796907600
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.
276 : 1, 2, 3, 4, 6, 12, 23, 46, 69, 92, 138, 276
685 : 1, 5, 137, 685
644 : 1, 2, 4, 7, 14, 23, 28, 46, 92, 161, 322, 644
745 : 1, 5, 149, 745
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 276,685,644,745,957, is 1.
Now, the common factors can be found like this.
276:2x 2x 3x 23
685:5x 137
644:2x 2x 7x 23
745:5x 149
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 5x 23 = 1380
Therefore, the value for common factors is 1380.
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 = 86806796907600/(1x1380)
LCM = 86806796907600/1380
LCM = 62903476020
Thus, we can understand that the LCM of 276,685,644,745,957 is 62903476020.
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FAQs on LCM of 276, 685, 644, 745, 957
1. What is the LCM of 276, 685, 644, 745, 957?
Answer: LCM of 276, 685, 644, 745, 957 is 62903476020.
2. How to calculate the LCM of 276, 685, 644, 745, 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 276, 685, 644, 745, 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}.