LCM of 684, 176, 946, 748
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 684, 176, 946, 748 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 684, 176, 946, 748. So, keep reading to learn more.
Given numbers are 684,176,946,748
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 684,176,946,748 is 22000176.
Find LCM of 684,176,946,748 with Prime Factorization
| 2 | 684, 176, 946, 748 |
| 2 | 342, 88, 473, 374 |
| 11 | 171, 44, 473, 187 |
| 171, 4, 43, 17 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 11 x 171 x 4 x 43 x 17 = 22000176
Therefore, the lowest common multiple of 684,176,946,748 is 22000176.
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.
684 x 176 x 946 x 748 = 85184681472
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.
684 : 1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684
176 : 1, 2, 4, 8, 11, 16, 22, 44, 88, 176
946 : 1, 2, 11, 22, 43, 86, 473, 946
748 : 1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 684,176,946,748, is 2.
Now, the common factors can be found like this.
684:2x 2x 3x 3x 19
176:2x 2x 2x 2x 11
946:2x 11x 43
748:2x 2x 11x 17
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 11x 11 = 1936
Therefore, the value for common factors is 1936.
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 = 85184681472/(2x1936)
LCM = 85184681472/3872
LCM = 22000176
Thus, we can understand that the LCM of 684,176,946,748 is 22000176.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 684, 176, 946, 748
1. What is the LCM of 684, 176, 946, 748?
Answer: LCM of 684, 176, 946, 748 is 22000176.
2. How to calculate the LCM of 684, 176, 946, 748?
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 684, 176, 946, 748.
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}.