LCM of 275, 744, 814, 984
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 275, 744, 814, 984 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 275, 744, 814, 984. So, keep reading to learn more.
Given numbers are 275,744,814,984
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 275,744,814,984 is 310378200.
Find LCM of 275,744,814,984 with Prime Factorization
| 2 | 275, 744, 814, 984 |
| 2 | 275, 372, 407, 492 |
| 2 | 275, 186, 407, 246 |
| 3 | 275, 93, 407, 123 |
| 11 | 275, 31, 407, 41 |
| 25, 31, 37, 41 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 11 x 25 x 31 x 37 x 41 = 310378200
Therefore, the lowest common multiple of 275,744,814,984 is 310378200.
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.
275 x 744 x 814 x 984 = 163879689600
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.
275 : 1, 5, 11, 25, 55, 275
744 : 1, 2, 3, 4, 6, 8, 12, 24, 31, 62, 93, 124, 186, 248, 372, 744
814 : 1, 2, 11, 22, 37, 74, 407, 814
984 : 1, 2, 3, 4, 6, 8, 12, 24, 41, 82, 123, 164, 246, 328, 492, 984
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 275,744,814,984, is 1.
Now, the common factors can be found like this.
275:5x 5x 11
744:2x 2x 2x 3x 31
814:2x 11x 37
984:2x 2x 2x 3x 41
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 11 = 528
Therefore, the value for common factors is 528.
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 = 163879689600/(1x528)
LCM = 163879689600/528
LCM = 310378200
Thus, we can understand that the LCM of 275,744,814,984 is 310378200.
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FAQs on LCM of 275, 744, 814, 984
1. What is the LCM of 275, 744, 814, 984?
Answer: LCM of 275, 744, 814, 984 is 310378200.
2. How to calculate the LCM of 275, 744, 814, 984?
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 275, 744, 814, 984.
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}.