LCM of 788, 443, 759, 426, 946
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 788, 443, 759, 426, 946 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 788, 443, 759, 426, 946. So, keep reading to learn more.
Given numbers are 788,443,759,426,946
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 788,443,759,426,946 is 808906870068.
Find LCM of 788,443,759,426,946 with Prime Factorization
| 2 | 788, 443, 759, 426, 946 |
| 3 | 394, 443, 759, 213, 473 |
| 11 | 394, 443, 253, 71, 473 |
| 394, 443, 23, 71, 43 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 11 x 394 x 443 x 23 x 71 x 43 = 808906870068
Therefore, the lowest common multiple of 788,443,759,426,946 is 808906870068.
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.
788 x 443 x 759 x 426 x 946 = 106775706848976
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.
788 : 1, 2, 4, 197, 394, 788
443 : 1, 443
759 : 1, 3, 11, 23, 33, 69, 253, 759
426 : 1, 2, 3, 6, 71, 142, 213, 426
946 : 1, 2, 11, 22, 43, 86, 473, 946
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 788,443,759,426,946, is 1.
Now, the common factors can be found like this.
788:2x 2x 197
443:443
759:3x 11x 23
426:2x 3x 71
946:2x 11x 43
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 = 106775706848976/(1x132)
LCM = 106775706848976/132
LCM = 808906870068
Thus, we can understand that the LCM of 788,443,759,426,946 is 808906870068.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 788, 443, 759, 426, 946
1. What is the LCM of 788, 443, 759, 426, 946?
Answer: LCM of 788, 443, 759, 426, 946 is 808906870068.
2. How to calculate the LCM of 788, 443, 759, 426, 946?
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 788, 443, 759, 426, 946.
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}.