LCM of 684, 408, 748, 175
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 684, 408, 748, 175 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, 408, 748, 175. So, keep reading to learn more.
Given numbers are 684,408,748,175
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 684,408,748,175 is 44767800.
Find LCM of 684,408,748,175 with Prime Factorization
| 2 | 684, 408, 748, 175 |
| 2 | 342, 204, 374, 175 |
| 3 | 171, 102, 187, 175 |
| 17 | 57, 34, 187, 175 |
| 57, 2, 11, 175 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 17 x 57 x 2 x 11 x 175 = 44767800
Therefore, the lowest common multiple of 684,408,748,175 is 44767800.
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 408 x 748 x 175 = 36530524800
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
408 : 1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408
748 : 1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748
175 : 1, 5, 7, 25, 35, 175
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 684,408,748,175, is 1.
Now, the common factors can be found like this.
684:2x 2x 3x 3x 19
408:2x 2x 2x 3x 17
748:2x 2x 11x 17
175:5x 5x 7
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 3x 17 = 816
Therefore, the value for common factors is 816.
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 = 36530524800/(1x816)
LCM = 36530524800/816
LCM = 44767800
Thus, we can understand that the LCM of 684,408,748,175 is 44767800.
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FAQs on LCM of 684, 408, 748, 175
1. What is the LCM of 684, 408, 748, 175?
Answer: LCM of 684, 408, 748, 175 is 44767800.
2. How to calculate the LCM of 684, 408, 748, 175?
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, 408, 748, 175.
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}.