LCM of 418, 663, 942, 953, 704
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 418, 663, 942, 953, 704 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, 663, 942, 953, 704. So, keep reading to learn more.
Given numbers are 418,663,942,953,704
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 418,663,942,953,704 is 1326882118848.
Find LCM of 418,663,942,953,704 with Prime Factorization
| 2 | 418, 663, 942, 953, 704 |
| 3 | 209, 663, 471, 953, 352 |
| 11 | 209, 221, 157, 953, 352 |
| 19, 221, 157, 953, 32 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 11 x 19 x 221 x 157 x 953 x 32 = 1326882118848
Therefore, the lowest common multiple of 418,663,942,953,704 is 1326882118848.
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 663 x 942 x 953 x 704 = 175148439687936
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
663 : 1, 3, 13, 17, 39, 51, 221, 663
942 : 1, 2, 3, 6, 157, 314, 471, 942
953 : 1, 953
704 : 1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 418,663,942,953,704, is 1.
Now, the common factors can be found like this.
418:2x 11x 19
663:3x 13x 17
942:2x 3x 157
953:953
704:2x 2x 2x 2x 2x 2x 11
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 11 = 132
Therefore, the value for common factors is 132.
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 = 175148439687936/(1x132)
LCM = 175148439687936/132
LCM = 1326882118848
Thus, we can understand that the LCM of 418,663,942,953,704 is 1326882118848.
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FAQs on LCM of 418, 663, 942, 953, 704
1. What is the LCM of 418, 663, 942, 953, 704?
Answer: LCM of 418, 663, 942, 953, 704 is 1326882118848.
2. How to calculate the LCM of 418, 663, 942, 953, 704?
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, 663, 942, 953, 704.
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}.