LCM of 964, 220, 254, 635, 810
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 964, 220, 254, 635, 810 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 964, 220, 254, 635, 810. So, keep reading to learn more.
Given numbers are 964,220,254,635,810
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 964,220,254,635,810 is 545416740.
Find LCM of 964,220,254,635,810 with Prime Factorization
| 2 | 964, 220, 254, 635, 810 |
| 2 | 482, 110, 127, 635, 405 |
| 5 | 241, 55, 127, 635, 405 |
| 127 | 241, 11, 127, 127, 81 |
| 241, 11, 1, 1, 81 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 5 x 127 x 241 x 11 x 1 x 1 x 81 = 545416740
Therefore, the lowest common multiple of 964,220,254,635,810 is 545416740.
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.
964 x 220 x 254 x 635 x 810 = 27707170392000
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.
964 : 1, 2, 4, 241, 482, 964
220 : 1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220
254 : 1, 2, 127, 254
635 : 1, 5, 127, 635
810 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 81, 90, 135, 162, 270, 405, 810
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 964,220,254,635,810, is 1.
Now, the common factors can be found like this.
964:2x 2x 241
220:2x 2x 5x 11
254:2x 127
635:5x 127
810:2x 3x 3x 3x 3x 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 5x 5x 127 = 50800
Therefore, the value for common factors is 50800.
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 = 27707170392000/(1x50800)
LCM = 27707170392000/50800
LCM = 545416740
Thus, we can understand that the LCM of 964,220,254,635,810 is 545416740.
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FAQs on LCM of 964, 220, 254, 635, 810
1. What is the LCM of 964, 220, 254, 635, 810?
Answer: LCM of 964, 220, 254, 635, 810 is 545416740.
2. How to calculate the LCM of 964, 220, 254, 635, 810?
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 964, 220, 254, 635, 810.
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}.