LCM of 418, 456, 978, 952
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 418, 456, 978, 952 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 418, 456, 978, 952. So, keep reading to learn more.
Given numbers are 418,456,978,952
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 418,456,978,952 is 97295352.
Find LCM of 418,456,978,952 with Prime Factorization
| 2 | 418, 456, 978, 952 |
| 2 | 209, 228, 489, 476 |
| 2 | 209, 114, 489, 238 |
| 3 | 209, 57, 489, 119 |
| 19 | 209, 19, 163, 119 |
| 11, 1, 163, 119 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 19 x 11 x 1 x 163 x 119 = 97295352
Therefore, the lowest common multiple of 418,456,978,952 is 97295352.
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.
418 x 456 x 978 x 952 = 177466722048
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.
418 : 1, 2, 11, 19, 22, 38, 209, 418
456 : 1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456
978 : 1, 2, 3, 6, 163, 326, 489, 978
952 : 1, 2, 4, 7, 8, 14, 17, 28, 34, 56, 68, 119, 136, 238, 476, 952
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 418,456,978,952, is 2.
Now, the common factors can be found like this.
418:2x 11x 19
456:2x 2x 2x 3x 19
978:2x 3x 163
952:2x 2x 2x 7x 17
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 2x 3x 19 = 912
Therefore, the value for common factors is 912.
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 = 177466722048/(2x912)
LCM = 177466722048/1824
LCM = 97295352
Thus, we can understand that the LCM of 418,456,978,952 is 97295352.
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FAQs on LCM of 418, 456, 978, 952
1. What is the LCM of 418, 456, 978, 952?
Answer: LCM of 418, 456, 978, 952 is 97295352.
2. How to calculate the LCM of 418, 456, 978, 952?
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 418, 456, 978, 952.
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}.