LCM of 656, 943, 426, 789, 435
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 656, 943, 426, 789, 435 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 656, 943, 426, 789, 435. So, keep reading to learn more.
Given numbers are 656,943,426,789,435
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 656,943,426,789,435 is 122556127440.
Find LCM of 656,943,426,789,435 with Prime Factorization
| 2 | 656, 943, 426, 789, 435 |
| 3 | 328, 943, 213, 789, 435 |
| 41 | 328, 943, 71, 263, 145 |
| 8, 23, 71, 263, 145 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 41 x 8 x 23 x 71 x 263 x 145 = 122556127440
Therefore, the lowest common multiple of 656,943,426,789,435 is 122556127440.
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.
656 x 943 x 426 x 789 x 435 = 90446422050720
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.
656 : 1, 2, 4, 8, 16, 41, 82, 164, 328, 656
943 : 1, 23, 41, 943
426 : 1, 2, 3, 6, 71, 142, 213, 426
789 : 1, 3, 263, 789
435 : 1, 3, 5, 15, 29, 87, 145, 435
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 656,943,426,789,435, is 1.
Now, the common factors can be found like this.
656:2x 2x 2x 2x 41
943:23x 41
426:2x 3x 71
789:3x 263
435:3x 5x 29
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 3x 41 = 738
Therefore, the value for common factors is 738.
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 = 90446422050720/(1x738)
LCM = 90446422050720/738
LCM = 122556127440
Thus, we can understand that the LCM of 656,943,426,789,435 is 122556127440.
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FAQs on LCM of 656, 943, 426, 789, 435
1. What is the LCM of 656, 943, 426, 789, 435?
Answer: LCM of 656, 943, 426, 789, 435 is 122556127440.
2. How to calculate the LCM of 656, 943, 426, 789, 435?
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 656, 943, 426, 789, 435.
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}.