LCM of 642, 375, 801, 198, 140
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 642, 375, 801, 198, 140 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 642, 375, 801, 198, 140. So, keep reading to learn more.
Given numbers are 642,375,801,198,140
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 642,375,801,198,140 is 3299719500.
Find LCM of 642,375,801,198,140 with Prime Factorization
| 2 | 642, 375, 801, 198, 140 |
| 3 | 321, 375, 801, 99, 70 |
| 3 | 107, 125, 267, 33, 70 |
| 5 | 107, 125, 89, 11, 70 |
| 107, 25, 89, 11, 14 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 5 x 107 x 25 x 89 x 11 x 14 = 3299719500
Therefore, the lowest common multiple of 642,375,801,198,140 is 3299719500.
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.
642 x 375 x 801 x 198 x 140 = 5345545590000
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.
642 : 1, 2, 3, 6, 107, 214, 321, 642
375 : 1, 3, 5, 15, 25, 75, 125, 375
801 : 1, 3, 9, 89, 267, 801
198 : 1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198
140 : 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 642,375,801,198,140, is 1.
Now, the common factors can be found like this.
642:2x 3x 107
375:3x 5x 5x 5
801:3x 3x 89
198:2x 3x 3x 11
140:2x 2x 5x 7
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 3x 3x 3x 3x 5 = 1620
Therefore, the value for common factors is 1620.
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 = 5345545590000/(1x1620)
LCM = 5345545590000/1620
LCM = 3299719500
Thus, we can understand that the LCM of 642,375,801,198,140 is 3299719500.
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FAQs on LCM of 642, 375, 801, 198, 140
1. What is the LCM of 642, 375, 801, 198, 140?
Answer: LCM of 642, 375, 801, 198, 140 is 3299719500.
2. How to calculate the LCM of 642, 375, 801, 198, 140?
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 642, 375, 801, 198, 140.
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}.