LCM of 426, 330, 644, 781
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 426, 330, 644, 781 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 426, 330, 644, 781. So, keep reading to learn more.
Given numbers are 426,330,644,781
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 426,330,644,781 is 7544460.
Find LCM of 426,330,644,781 with Prime Factorization
| 2 | 426, 330, 644, 781 |
| 3 | 213, 165, 322, 781 |
| 11 | 71, 55, 322, 781 |
| 71 | 71, 5, 322, 71 |
| 1, 5, 322, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 11 x 71 x 1 x 5 x 322 x 1 = 7544460
Therefore, the lowest common multiple of 426,330,644,781 is 7544460.
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.
426 x 330 x 644 x 781 = 70706679120
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.
426 : 1, 2, 3, 6, 71, 142, 213, 426
330 : 1, 2, 3, 5, 6, 10, 11, 15, 22, 30, 33, 55, 66, 110, 165, 330
644 : 1, 2, 4, 7, 14, 23, 28, 46, 92, 161, 322, 644
781 : 1, 11, 71, 781
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 426,330,644,781, is 1.
Now, the common factors can be found like this.
426:2x 3x 71
330:2x 3x 5x 11
644:2x 2x 7x 23
781:11x 71
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 11x 71 = 9372
Therefore, the value for common factors is 9372.
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 = 70706679120/(1x9372)
LCM = 70706679120/9372
LCM = 7544460
Thus, we can understand that the LCM of 426,330,644,781 is 7544460.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 426, 330, 644, 781
1. What is the LCM of 426, 330, 644, 781?
Answer: LCM of 426, 330, 644, 781 is 7544460.
2. How to calculate the LCM of 426, 330, 644, 781?
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 426, 330, 644, 781.
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}.