LCM of 298, 414, 500, 644
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 298, 414, 500, 644 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 298, 414, 500, 644. So, keep reading to learn more.
Given numbers are 298,414,500,644
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 298,414,500,644 is 107950500.
Find LCM of 298,414,500,644 with Prime Factorization
| 2 | 298, 414, 500, 644 |
| 2 | 149, 207, 250, 322 |
| 23 | 149, 207, 125, 161 |
| 149, 9, 125, 7 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 23 x 149 x 9 x 125 x 7 = 107950500
Therefore, the lowest common multiple of 298,414,500,644 is 107950500.
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.
298 x 414 x 500 x 644 = 39725784000
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.
298 : 1, 2, 149, 298
414 : 1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414
500 : 1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 250, 500
644 : 1, 2, 4, 7, 14, 23, 28, 46, 92, 161, 322, 644
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 298,414,500,644, is 2.
Now, the common factors can be found like this.
298:2x 149
414:2x 3x 3x 23
500:2x 2x 5x 5x 5
644:2x 2x 7x 23
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 23 = 184
Therefore, the value for common factors is 184.
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 = 39725784000/(2x184)
LCM = 39725784000/368
LCM = 107950500
Thus, we can understand that the LCM of 298,414,500,644 is 107950500.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 298, 414, 500, 644
1. What is the LCM of 298, 414, 500, 644?
Answer: LCM of 298, 414, 500, 644 is 107950500.
2. How to calculate the LCM of 298, 414, 500, 644?
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 298, 414, 500, 644.
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}.