LCM of 953, 978, 255, 608, 953
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 953, 978, 255, 608, 953 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 953, 978, 255, 608, 953. So, keep reading to learn more.
Given numbers are 953,978,255,608,953
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 953,978,255,608,953 is 24083758560.
Find LCM of 953,978,255,608,953 with Prime Factorization
| 2 | 953, 978, 255, 608, 953 |
| 3 | 953, 489, 255, 304, 953 |
| 953 | 953, 163, 85, 304, 953 |
| 1, 163, 85, 304, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 953 x 1 x 163 x 85 x 304 x 1 = 24083758560
Therefore, the lowest common multiple of 953,978,255,608,953 is 24083758560.
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.
953 x 978 x 255 x 608 x 953 = 137710931446080
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.
953 : 1, 953
978 : 1, 2, 3, 6, 163, 326, 489, 978
255 : 1, 3, 5, 15, 17, 51, 85, 255
608 : 1, 2, 4, 8, 16, 19, 32, 38, 76, 152, 304, 608
953 : 1, 953
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 953,978,255,608,953, is 1.
Now, the common factors can be found like this.
953:953
978:2x 3x 163
255:3x 5x 17
608:2x 2x 2x 2x 2x 19
953:953
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 953 = 5718
Therefore, the value for common factors is 5718.
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 = 137710931446080/(1x5718)
LCM = 137710931446080/5718
LCM = 24083758560
Thus, we can understand that the LCM of 953,978,255,608,953 is 24083758560.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 953, 978, 255, 608, 953
1. What is the LCM of 953, 978, 255, 608, 953?
Answer: LCM of 953, 978, 255, 608, 953 is 24083758560.
2. How to calculate the LCM of 953, 978, 255, 608, 953?
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 953, 978, 255, 608, 953.
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}.