LCM of 784, 476, 865, 196, 846
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 784, 476, 865, 196, 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 784, 476, 865, 196, 846. So, keep reading to learn more.
Given numbers are 784,476,865,196,846
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 784,476,865,196,846 is 4876648560.
Find LCM of 784,476,865,196,846 with Prime Factorization
| 2 | 784, 476, 865, 196, 846 |
| 2 | 392, 238, 865, 98, 423 |
| 7 | 196, 119, 865, 49, 423 |
| 7 | 28, 17, 865, 7, 423 |
| 4, 17, 865, 1, 423 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 7 x 7 x 4 x 17 x 865 x 1 x 423 = 4876648560
Therefore, the lowest common multiple of 784,476,865,196,846 is 4876648560.
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.
784 x 476 x 865 x 196 x 846 = 53526094594560
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.
784 : 1, 2, 4, 7, 8, 14, 16, 28, 49, 56, 98, 112, 196, 392, 784
476 : 1, 2, 4, 7, 14, 17, 28, 34, 68, 119, 238, 476
865 : 1, 5, 173, 865
196 : 1, 2, 4, 7, 14, 28, 49, 98, 196
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 784,476,865,196,846, is 1.
Now, the common factors can be found like this.
784:2x 2x 2x 2x 7x 7
476:2x 2x 7x 17
865:5x 173
196:2x 2x 7x 7
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 7x 7x 7 = 10976
Therefore, the value for common factors is 10976.
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 = 53526094594560/(1x10976)
LCM = 53526094594560/10976
LCM = 4876648560
Thus, we can understand that the LCM of 784,476,865,196,846 is 4876648560.
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FAQs on LCM of 784, 476, 865, 196, 846
1. What is the LCM of 784, 476, 865, 196, 846?
Answer: LCM of 784, 476, 865, 196, 846 is 4876648560.
2. How to calculate the LCM of 784, 476, 865, 196, 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 784, 476, 865, 196, 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}.