LCM of 758, 636, 198, 144, 900
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 758, 636, 198, 144, 900 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 758, 636, 198, 144, 900. So, keep reading to learn more.
Given numbers are 758,636,198,144,900
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 758,636,198,144,900 is 795445200.
Find LCM of 758,636,198,144,900 with Prime Factorization
| 2 | 758, 636, 198, 144, 900 |
| 2 | 379, 318, 99, 72, 450 |
| 3 | 379, 159, 99, 36, 225 |
| 3 | 379, 53, 33, 12, 75 |
| 379, 53, 11, 4, 25 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 379 x 53 x 11 x 4 x 25 = 795445200
Therefore, the lowest common multiple of 758,636,198,144,900 is 795445200.
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.
758 x 636 x 198 x 144 x 900 = 12370763750400
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.
758 : 1, 2, 379, 758
636 : 1, 2, 3, 4, 6, 12, 53, 106, 159, 212, 318, 636
198 : 1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198
144 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144
900 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 758,636,198,144,900, is 2.
Now, the common factors can be found like this.
758:2x 379
636:2x 2x 3x 53
198:2x 3x 3x 11
144:2x 2x 2x 2x 3x 3
900:2x 2x 3x 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 2x 2x 2x 2x 3x 3x 3x 3x 3 = 7776
Therefore, the value for common factors is 7776.
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 = 12370763750400/(2x7776)
LCM = 12370763750400/15552
LCM = 795445200
Thus, we can understand that the LCM of 758,636,198,144,900 is 795445200.
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FAQs on LCM of 758, 636, 198, 144, 900
1. What is the LCM of 758, 636, 198, 144, 900?
Answer: LCM of 758, 636, 198, 144, 900 is 795445200.
2. How to calculate the LCM of 758, 636, 198, 144, 900?
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 758, 636, 198, 144, 900.
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}.