LCM of 874, 300, 414, 804, 277
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 874, 300, 414, 804, 277 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, 300, 414, 804, 277. So, keep reading to learn more.
Given numbers are 874,300,414,804,277
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 874,300,414,804,277 is 7299254700.
Find LCM of 874,300,414,804,277 with Prime Factorization
| 2 | 874, 300, 414, 804, 277 |
| 2 | 437, 150, 207, 402, 277 |
| 3 | 437, 75, 207, 201, 277 |
| 23 | 437, 25, 69, 67, 277 |
| 19, 25, 3, 67, 277 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 23 x 19 x 25 x 3 x 67 x 277 = 7299254700
Therefore, the lowest common multiple of 874,300,414,804,277 is 7299254700.
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 300 x 414 x 804 x 277 = 24175131566400
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
300 : 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300
414 : 1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414
804 : 1, 2, 3, 4, 6, 12, 67, 134, 201, 268, 402, 804
277 : 1, 277
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 874,300,414,804,277, is 1.
Now, the common factors can be found like this.
874:2x 19x 23
300:2x 2x 3x 5x 5
414:2x 3x 3x 23
804:2x 2x 3x 67
277:277
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 3x 23 = 3312
Therefore, the value for common factors is 3312.
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 = 24175131566400/(1x3312)
LCM = 24175131566400/3312
LCM = 7299254700
Thus, we can understand that the LCM of 874,300,414,804,277 is 7299254700.
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FAQs on LCM of 874, 300, 414, 804, 277
1. What is the LCM of 874, 300, 414, 804, 277?
Answer: LCM of 874, 300, 414, 804, 277 is 7299254700.
2. How to calculate the LCM of 874, 300, 414, 804, 277?
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, 300, 414, 804, 277.
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}.