LCM of 264, 753, 791, 630, 922
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 264, 753, 791, 630, 922 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 264, 753, 791, 630, 922. So, keep reading to learn more.
Given numbers are 264,753,791,630,922
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 264,753,791,630,922 is 362448507960.
Find LCM of 264,753,791,630,922 with Prime Factorization
| 2 | 264, 753, 791, 630, 922 |
| 3 | 132, 753, 791, 315, 461 |
| 7 | 44, 251, 791, 105, 461 |
| 44, 251, 113, 15, 461 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 7 x 44 x 251 x 113 x 15 x 461 = 362448507960
Therefore, the lowest common multiple of 264,753,791,630,922 is 362448507960.
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.
264 x 753 x 791 x 630 x 922 = 91337024005920
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.
264 : 1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264
753 : 1, 3, 251, 753
791 : 1, 7, 113, 791
630 : 1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 21, 30, 35, 42, 45, 63, 70, 90, 105, 126, 210, 315, 630
922 : 1, 2, 461, 922
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 264,753,791,630,922, is 1.
Now, the common factors can be found like this.
264:2x 2x 2x 3x 11
753:3x 251
791:7x 113
630:2x 3x 3x 5x 7
922:2x 461
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 7 = 252
Therefore, the value for common factors is 252.
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 = 91337024005920/(1x252)
LCM = 91337024005920/252
LCM = 362448507960
Thus, we can understand that the LCM of 264,753,791,630,922 is 362448507960.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 264, 753, 791, 630, 922
1. What is the LCM of 264, 753, 791, 630, 922?
Answer: LCM of 264, 753, 791, 630, 922 is 362448507960.
2. How to calculate the LCM of 264, 753, 791, 630, 922?
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 264, 753, 791, 630, 922.
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}.