LCM of 736, 880, 385, 946, 846
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 736, 880, 385, 946, 846 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 736, 880, 385, 946, 846. So, keep reading to learn more.
Given numbers are 736,880,385,946,846
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 736,880,385,946,846 is 5154035040.
Find LCM of 736,880,385,946,846 with Prime Factorization
| 2 | 736, 880, 385, 946, 846 |
| 2 | 368, 440, 385, 473, 423 |
| 2 | 184, 220, 385, 473, 423 |
| 2 | 92, 110, 385, 473, 423 |
| 5 | 46, 55, 385, 473, 423 |
| 11 | 46, 11, 77, 473, 423 |
| 46, 1, 7, 43, 423 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 5 x 11 x 46 x 1 x 7 x 43 x 423 = 5154035040
Therefore, the lowest common multiple of 736,880,385,946,846 is 5154035040.
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.
736 x 880 x 385 x 946 x 846 = 199564236748800
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.
736 : 1, 2, 4, 8, 16, 23, 32, 46, 92, 184, 368, 736
880 : 1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 40, 44, 55, 80, 88, 110, 176, 220, 440, 880
385 : 1, 5, 7, 11, 35, 55, 77, 385
946 : 1, 2, 11, 22, 43, 86, 473, 946
846 : 1, 2, 3, 6, 9, 18, 47, 94, 141, 282, 423, 846
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 736,880,385,946,846, is 1.
Now, the common factors can be found like this.
736:2x 2x 2x 2x 2x 23
880:2x 2x 2x 2x 5x 11
385:5x 7x 11
946:2x 11x 43
846:2x 3x 3x 47
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 2x 2x 2x 5x 11x 11 = 38720
Therefore, the value for common factors is 38720.
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 = 199564236748800/(1x38720)
LCM = 199564236748800/38720
LCM = 5154035040
Thus, we can understand that the LCM of 736,880,385,946,846 is 5154035040.
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FAQs on LCM of 736, 880, 385, 946, 846
1. What is the LCM of 736, 880, 385, 946, 846?
Answer: LCM of 736, 880, 385, 946, 846 is 5154035040.
2. How to calculate the LCM of 736, 880, 385, 946, 846?
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 736, 880, 385, 946, 846.
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}.