LCM of 254, 114, 114, 442, 978
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 254, 114, 114, 442, 978 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 254, 114, 114, 442, 978. So, keep reading to learn more.
Given numbers are 254,114,114,442,978
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 254,114,114,442,978 is 521540994.
Find LCM of 254,114,114,442,978 with Prime Factorization
| 2 | 254, 114, 114, 442, 978 |
| 3 | 127, 57, 57, 221, 489 |
| 19 | 127, 19, 19, 221, 163 |
| 127, 1, 1, 221, 163 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 19 x 127 x 1 x 1 x 221 x 163 = 521540994
Therefore, the lowest common multiple of 254,114,114,442,978 is 521540994.
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.
254 x 114 x 114 x 442 x 978 = 1426936159584
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.
254 : 1, 2, 127, 254
114 : 1, 2, 3, 6, 19, 38, 57, 114
114 : 1, 2, 3, 6, 19, 38, 57, 114
442 : 1, 2, 13, 17, 26, 34, 221, 442
978 : 1, 2, 3, 6, 163, 326, 489, 978
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 254,114,114,442,978, is 2.
Now, the common factors can be found like this.
254:2x 127
114:2x 3x 19
114:2x 3x 19
442:2x 13x 17
978:2x 3x 163
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 19 = 1368
Therefore, the value for common factors is 1368.
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 = 1426936159584/(2x1368)
LCM = 1426936159584/2736
LCM = 521540994
Thus, we can understand that the LCM of 254,114,114,442,978 is 521540994.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 254, 114, 114, 442, 978
1. What is the LCM of 254, 114, 114, 442, 978?
Answer: LCM of 254, 114, 114, 442, 978 is 521540994.
2. How to calculate the LCM of 254, 114, 114, 442, 978?
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 254, 114, 114, 442, 978.
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}.