LCM of 936, 154, 343, 669, 738
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 936, 154, 343, 669, 738 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, 154, 343, 669, 738. So, keep reading to learn more.
Given numbers are 936,154,343,669,738
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 936,154,343,669,738 is 32288760504.
Find LCM of 936,154,343,669,738 with Prime Factorization
| 2 | 936, 154, 343, 669, 738 |
| 3 | 468, 77, 343, 669, 369 |
| 3 | 156, 77, 343, 223, 123 |
| 7 | 52, 77, 343, 223, 41 |
| 52, 11, 49, 223, 41 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 7 x 52 x 11 x 49 x 223 x 41 = 32288760504
Therefore, the lowest common multiple of 936,154,343,669,738 is 32288760504.
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 154 x 343 x 669 x 738 = 24410302941024
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
154 : 1, 2, 7, 11, 14, 22, 77, 154
343 : 1, 7, 49, 343
669 : 1, 3, 223, 669
738 : 1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 936,154,343,669,738, is 1.
Now, the common factors can be found like this.
936:2x 2x 2x 3x 3x 13
154:2x 7x 11
343:7x 7x 7
669:3x 223
738:2x 3x 3x 41
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 3x 3x 7 = 756
Therefore, the value for common factors is 756.
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 = 24410302941024/(1x756)
LCM = 24410302941024/756
LCM = 32288760504
Thus, we can understand that the LCM of 936,154,343,669,738 is 32288760504.
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FAQs on LCM of 936, 154, 343, 669, 738
1. What is the LCM of 936, 154, 343, 669, 738?
Answer: LCM of 936, 154, 343, 669, 738 is 32288760504.
2. How to calculate the LCM of 936, 154, 343, 669, 738?
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, 154, 343, 669, 738.
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}.