LCM of 383, 298, 874, 300
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 383, 298, 874, 300 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 383, 298, 874, 300. So, keep reading to learn more.
Given numbers are 383,298,874,300
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 383,298,874,300 is 7481483700.
Find LCM of 383,298,874,300 with Prime Factorization
| 2 | 383, 298, 874, 300 |
| 383, 149, 437, 150 |
Multiply the prime numbers at the bottom and the left side.
2 x 383 x 149 x 437 x 150 = 7481483700
Therefore, the lowest common multiple of 383,298,874,300 is 7481483700.
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.
383 x 298 x 874 x 300 = 29925934800
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.
383 : 1, 383
298 : 1, 2, 149, 298
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
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 383,298,874,300, is 1.
Now, the common factors can be found like this.
383:383
298:2x 149
874:2x 19x 23
300:2x 2x 3x 5x 5
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2 = 4
Therefore, the value for common factors is 4.
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 = 29925934800/(1x4)
LCM = 29925934800/4
LCM = 7481483700
Thus, we can understand that the LCM of 383,298,874,300 is 7481483700.
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FAQs on LCM of 383, 298, 874, 300
1. What is the LCM of 383, 298, 874, 300?
Answer: LCM of 383, 298, 874, 300 is 7481483700.
2. How to calculate the LCM of 383, 298, 874, 300?
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 383, 298, 874, 300.
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}.