LCM of 451, 234, 452, 565, 644
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 451, 234, 452, 565, 644 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 451, 234, 452, 565, 644. So, keep reading to learn more.
Given numbers are 451,234,452,565,644
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 451,234,452,565,644 is 19199800620.
Find LCM of 451,234,452,565,644 with Prime Factorization
| 2 | 451, 234, 452, 565, 644 |
| 2 | 451, 117, 226, 565, 322 |
| 113 | 451, 117, 113, 565, 161 |
| 451, 117, 1, 5, 161 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 113 x 451 x 117 x 1 x 5 x 161 = 19199800620
Therefore, the lowest common multiple of 451,234,452,565,644 is 19199800620.
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.
451 x 234 x 452 x 565 x 644 = 17356619760480
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.
451 : 1, 11, 41, 451
234 : 1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 117, 234
452 : 1, 2, 4, 113, 226, 452
565 : 1, 5, 113, 565
644 : 1, 2, 4, 7, 14, 23, 28, 46, 92, 161, 322, 644
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 451,234,452,565,644, is 1.
Now, the common factors can be found like this.
451:11x 41
234:2x 3x 3x 13
452:2x 2x 113
565:5x 113
644:2x 2x 7x 23
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 113 = 904
Therefore, the value for common factors is 904.
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 = 17356619760480/(1x904)
LCM = 17356619760480/904
LCM = 19199800620
Thus, we can understand that the LCM of 451,234,452,565,644 is 19199800620.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 451, 234, 452, 565, 644
1. What is the LCM of 451, 234, 452, 565, 644?
Answer: LCM of 451, 234, 452, 565, 644 is 19199800620.
2. How to calculate the LCM of 451, 234, 452, 565, 644?
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 451, 234, 452, 565, 644.
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}.