LCM of 846, 896, 940, 674
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 846, 896, 940, 674 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 846, 896, 940, 674. So, keep reading to learn more.
Given numbers are 846,896,940,674
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 846,896,940,674 is 638628480.
Find LCM of 846,896,940,674 with Prime Factorization
| 2 | 846, 896, 940, 674 |
| 2 | 423, 448, 470, 337 |
| 47 | 423, 224, 235, 337 |
| 9, 224, 5, 337 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 47 x 9 x 224 x 5 x 337 = 638628480
Therefore, the lowest common multiple of 846,896,940,674 is 638628480.
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.
846 x 896 x 940 x 674 = 480248616960
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.
846 : 1, 2, 3, 6, 9, 18, 47, 94, 141, 282, 423, 846
896 : 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 128, 224, 448, 896
940 : 1, 2, 4, 5, 10, 20, 47, 94, 188, 235, 470, 940
674 : 1, 2, 337, 674
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 846,896,940,674, is 2.
Now, the common factors can be found like this.
846:2x 3x 3x 47
896:2x 2x 2x 2x 2x 2x 2x 7
940:2x 2x 5x 47
674:2x 337
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 47 = 376
Therefore, the value for common factors is 376.
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 = 480248616960/(2x376)
LCM = 480248616960/752
LCM = 638628480
Thus, we can understand that the LCM of 846,896,940,674 is 638628480.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 846, 896, 940, 674
1. What is the LCM of 846, 896, 940, 674?
Answer: LCM of 846, 896, 940, 674 is 638628480.
2. How to calculate the LCM of 846, 896, 940, 674?
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 846, 896, 940, 674.
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}.