LCM of 874, 900, 669, 339
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 874, 900, 669, 339 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 874, 900, 669, 339. So, keep reading to learn more.
Given numbers are 874,900,669,339
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 874,900,669,339 is 9910766700.
Find LCM of 874,900,669,339 with Prime Factorization
| 2 | 874, 900, 669, 339 |
| 3 | 437, 450, 669, 339 |
| 437, 150, 223, 113 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 437 x 150 x 223 x 113 = 9910766700
Therefore, the lowest common multiple of 874,900,669,339 is 9910766700.
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.
874 x 900 x 669 x 339 = 178393800600
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.
874 : 1, 2, 19, 23, 38, 46, 437, 874
900 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900
669 : 1, 3, 223, 669
339 : 1, 3, 113, 339
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 874,900,669,339, is 1.
Now, the common factors can be found like this.
874:2x 19x 23
900:2x 2x 3x 3x 5x 5
669:3x 223
339:3x 113
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 3 = 18
Therefore, the value for common factors is 18.
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 = 178393800600/(1x18)
LCM = 178393800600/18
LCM = 9910766700
Thus, we can understand that the LCM of 874,900,669,339 is 9910766700.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 874, 900, 669, 339
1. What is the LCM of 874, 900, 669, 339?
Answer: LCM of 874, 900, 669, 339 is 9910766700.
2. How to calculate the LCM of 874, 900, 669, 339?
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 874, 900, 669, 339.
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}.