LCM of 478, 703, 946, 531, 944
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 478, 703, 946, 531, 944 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 478, 703, 946, 531, 944. So, keep reading to learn more.
Given numbers are 478,703,946,531,944
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 478,703,946,531,944 is 675194460336.
Find LCM of 478,703,946,531,944 with Prime Factorization
| 2 | 478, 703, 946, 531, 944 |
| 59 | 239, 703, 473, 531, 472 |
| 239, 703, 473, 9, 8 |
Multiply the prime numbers at the bottom and the left side.
2 x 59 x 239 x 703 x 473 x 9 x 8 = 675194460336
Therefore, the lowest common multiple of 478,703,946,531,944 is 675194460336.
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.
478 x 703 x 946 x 531 x 944 = 159345892639296
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.
478 : 1, 2, 239, 478
703 : 1, 19, 37, 703
946 : 1, 2, 11, 22, 43, 86, 473, 946
531 : 1, 3, 9, 59, 177, 531
944 : 1, 2, 4, 8, 16, 59, 118, 236, 472, 944
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 478,703,946,531,944, is 1.
Now, the common factors can be found like this.
478:2x 239
703:19x 37
946:2x 11x 43
531:3x 3x 59
944:2x 2x 2x 2x 59
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 59 = 236
Therefore, the value for common factors is 236.
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 = 159345892639296/(1x236)
LCM = 159345892639296/236
LCM = 675194460336
Thus, we can understand that the LCM of 478,703,946,531,944 is 675194460336.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 478, 703, 946, 531, 944
1. What is the LCM of 478, 703, 946, 531, 944?
Answer: LCM of 478, 703, 946, 531, 944 is 675194460336.
2. How to calculate the LCM of 478, 703, 946, 531, 944?
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 478, 703, 946, 531, 944.
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}.