LCM of 936, 548, 818, 735
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 936, 548, 818, 735 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, 548, 818, 735. So, keep reading to learn more.
Given numbers are 936,548,818,735
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 936,548,818,735 is 12849487560.
Find LCM of 936,548,818,735 with Prime Factorization
| 2 | 936, 548, 818, 735 |
| 2 | 468, 274, 409, 735 |
| 3 | 234, 137, 409, 735 |
| 78, 137, 409, 245 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 78 x 137 x 409 x 245 = 12849487560
Therefore, the lowest common multiple of 936,548,818,735 is 12849487560.
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 548 x 818 x 735 = 308387701440
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
548 : 1, 2, 4, 137, 274, 548
818 : 1, 2, 409, 818
735 : 1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 936,548,818,735, is 1.
Now, the common factors can be found like this.
936:2x 2x 2x 3x 3x 13
548:2x 2x 137
818:2x 409
735:3x 5x 7x 7
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 2x 3 = 24
Therefore, the value for common factors is 24.
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 = 308387701440/(1x24)
LCM = 308387701440/24
LCM = 12849487560
Thus, we can understand that the LCM of 936,548,818,735 is 12849487560.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 936, 548, 818, 735
1. What is the LCM of 936, 548, 818, 735?
Answer: LCM of 936, 548, 818, 735 is 12849487560.
2. How to calculate the LCM of 936, 548, 818, 735?
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, 548, 818, 735.
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}.