LCM of 669, 935, 187, 874
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 669, 935, 187, 874 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 669, 935, 187, 874. So, keep reading to learn more.
Given numbers are 669,935,187,874
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 669,935,187,874 is 546700110.
Find LCM of 669,935,187,874 with Prime Factorization
| 11 | 669, 935, 187, 874 |
| 17 | 669, 85, 17, 874 |
| 669, 5, 1, 874 |
Multiply the prime numbers at the bottom and the left side.
11 x 17 x 669 x 5 x 1 x 874 = 546700110
Therefore, the lowest common multiple of 669,935,187,874 is 546700110.
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.
669 x 935 x 187 x 874 = 102232920570
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.
669 : 1, 3, 223, 669
935 : 1, 5, 11, 17, 55, 85, 187, 935
187 : 1, 11, 17, 187
874 : 1, 2, 19, 23, 38, 46, 437, 874
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 669,935,187,874, is 1.
Now, the common factors can be found like this.
669:3x 223
935:5x 11x 17
187:11x 17
874:2x 19x 23
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
11x 17 = 187
Therefore, the value for common factors is 187.
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 = 102232920570/(1x187)
LCM = 102232920570/187
LCM = 546700110
Thus, we can understand that the LCM of 669,935,187,874 is 546700110.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 669, 935, 187, 874
1. What is the LCM of 669, 935, 187, 874?
Answer: LCM of 669, 935, 187, 874 is 546700110.
2. How to calculate the LCM of 669, 935, 187, 874?
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 669, 935, 187, 874.
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}.