LCM of 936, 566, 735, 426
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 936, 566, 735, 426 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 936, 566, 735, 426. So, keep reading to learn more.
Given numbers are 936,566,735,426
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 936,566,735,426 is 4607726760.
Find LCM of 936,566,735,426 with Prime Factorization
| 2 | 936, 566, 735, 426 |
| 3 | 468, 283, 735, 213 |
| 156, 283, 245, 71 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 156 x 283 x 245 x 71 = 4607726760
Therefore, the lowest common multiple of 936,566,735,426 is 4607726760.
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.
936 x 566 x 735 x 426 = 165878163360
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.
936 : 1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 36, 39, 52, 72, 78, 104, 117, 156, 234, 312, 468, 936
566 : 1, 2, 283, 566
735 : 1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735
426 : 1, 2, 3, 6, 71, 142, 213, 426
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 936,566,735,426, is 1.
Now, the common factors can be found like this.
936:2x 2x 2x 3x 3x 13
566:2x 283
735:3x 5x 7x 7
426:2x 3x 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 3 = 36
Therefore, the value for common factors is 36.
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 = 165878163360/(1x36)
LCM = 165878163360/36
LCM = 4607726760
Thus, we can understand that the LCM of 936,566,735,426 is 4607726760.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 936, 566, 735, 426
1. What is the LCM of 936, 566, 735, 426?
Answer: LCM of 936, 566, 735, 426 is 4607726760.
2. How to calculate the LCM of 936, 566, 735, 426?
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 936, 566, 735, 426.
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}.