LCM of 262, 634, 969, 880, 456
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 262, 634, 969, 880, 456 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 262, 634, 969, 880, 456. So, keep reading to learn more.
Given numbers are 262,634,969,880,456
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 262,634,969,880,456 is 35410903440.
Find LCM of 262,634,969,880,456 with Prime Factorization
| 2 | 262, 634, 969, 880, 456 |
| 2 | 131, 317, 969, 440, 228 |
| 2 | 131, 317, 969, 220, 114 |
| 3 | 131, 317, 969, 110, 57 |
| 19 | 131, 317, 323, 110, 19 |
| 131, 317, 17, 110, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 19 x 131 x 317 x 17 x 110 x 1 = 35410903440
Therefore, the lowest common multiple of 262,634,969,880,456 is 35410903440.
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.
262 x 634 x 969 x 880 x 456 = 64589487874560
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.
262 : 1, 2, 131, 262
634 : 1, 2, 317, 634
969 : 1, 3, 17, 19, 51, 57, 323, 969
880 : 1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 40, 44, 55, 80, 88, 110, 176, 220, 440, 880
456 : 1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 262,634,969,880,456, is 1.
Now, the common factors can be found like this.
262:2x 131
634:2x 317
969:3x 17x 19
880:2x 2x 2x 2x 5x 11
456:2x 2x 2x 3x 19
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 19 = 1824
Therefore, the value for common factors is 1824.
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 = 64589487874560/(1x1824)
LCM = 64589487874560/1824
LCM = 35410903440
Thus, we can understand that the LCM of 262,634,969,880,456 is 35410903440.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 262, 634, 969, 880, 456
1. What is the LCM of 262, 634, 969, 880, 456?
Answer: LCM of 262, 634, 969, 880, 456 is 35410903440.
2. How to calculate the LCM of 262, 634, 969, 880, 456?
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 262, 634, 969, 880, 456.
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}.