LCM of 450, 293, 822, 971, 905
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 450, 293, 822, 971, 905 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 450, 293, 822, 971, 905. So, keep reading to learn more.
Given numbers are 450,293,822,971,905
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 450,293,822,971,905 is 3174669400950.
Find LCM of 450,293,822,971,905 with Prime Factorization
| 2 | 450, 293, 822, 971, 905 |
| 3 | 225, 293, 411, 971, 905 |
| 5 | 75, 293, 137, 971, 905 |
| 15, 293, 137, 971, 181 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 15 x 293 x 137 x 971 x 181 = 3174669400950
Therefore, the lowest common multiple of 450,293,822,971,905 is 3174669400950.
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.
450 x 293 x 822 x 971 x 905 = 95240082028500
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.
450 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 45, 50, 75, 90, 150, 225, 450
293 : 1, 293
822 : 1, 2, 3, 6, 137, 274, 411, 822
971 : 1, 971
905 : 1, 5, 181, 905
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 450,293,822,971,905, is 1.
Now, the common factors can be found like this.
450:2x 3x 3x 5x 5
293:293
822:2x 3x 137
971:971
905:5x 181
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 5 = 30
Therefore, the value for common factors is 30.
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 = 95240082028500/(1x30)
LCM = 95240082028500/30
LCM = 3174669400950
Thus, we can understand that the LCM of 450,293,822,971,905 is 3174669400950.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 450, 293, 822, 971, 905
1. What is the LCM of 450, 293, 822, 971, 905?
Answer: LCM of 450, 293, 822, 971, 905 is 3174669400950.
2. How to calculate the LCM of 450, 293, 822, 971, 905?
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 450, 293, 822, 971, 905.
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}.