LCM of 631, 506, 297, 824, 900
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 631, 506, 297, 824, 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 631, 506, 297, 824, 900. So, keep reading to learn more.
Given numbers are 631,506,297,824,900
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 631,506,297,824,900 is 88793436600.
Find LCM of 631,506,297,824,900 with Prime Factorization
| 2 | 631, 506, 297, 824, 900 |
| 2 | 631, 253, 297, 412, 450 |
| 3 | 631, 253, 297, 206, 225 |
| 3 | 631, 253, 99, 206, 75 |
| 11 | 631, 253, 33, 206, 25 |
| 631, 23, 3, 206, 25 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 11 x 631 x 23 x 3 x 206 x 25 = 88793436600
Therefore, the lowest common multiple of 631,506,297,824,900 is 88793436600.
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.
631 x 506 x 297 x 824 x 900 = 70324401787200
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.
631 : 1, 631
506 : 1, 2, 11, 22, 23, 46, 253, 506
297 : 1, 3, 9, 11, 27, 33, 99, 297
824 : 1, 2, 4, 8, 103, 206, 412, 824
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
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 631,506,297,824,900, is 1.
Now, the common factors can be found like this.
631:631
506:2x 11x 23
297:3x 3x 3x 11
824:2x 2x 2x 103
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 3x 3x 11 = 792
Therefore, the value for common factors is 792.
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 = 70324401787200/(1x792)
LCM = 70324401787200/792
LCM = 88793436600
Thus, we can understand that the LCM of 631,506,297,824,900 is 88793436600.
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FAQs on LCM of 631, 506, 297, 824, 900
1. What is the LCM of 631, 506, 297, 824, 900?
Answer: LCM of 631, 506, 297, 824, 900 is 88793436600.
2. How to calculate the LCM of 631, 506, 297, 824, 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 631, 506, 297, 824, 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}.