LCM of 801, 649, 473, 275, 396
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 801, 649, 473, 275, 396 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 801, 649, 473, 275, 396. So, keep reading to learn more.
Given numbers are 801,649,473,275,396
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 801,649,473,275,396 is 2235350700.
Find LCM of 801,649,473,275,396 with Prime Factorization
| 3 | 801, 649, 473, 275, 396 |
| 3 | 267, 649, 473, 275, 132 |
| 11 | 89, 649, 473, 275, 44 |
| 89, 59, 43, 25, 4 |
Multiply the prime numbers at the bottom and the left side.
3 x 3 x 11 x 89 x 59 x 43 x 25 x 4 = 2235350700
Therefore, the lowest common multiple of 801,649,473,275,396 is 2235350700.
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.
801 x 649 x 473 x 275 x 396 = 26777266035300
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.
801 : 1, 3, 9, 89, 267, 801
649 : 1, 11, 59, 649
473 : 1, 11, 43, 473
275 : 1, 5, 11, 25, 55, 275
396 : 1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 198, 396
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 801,649,473,275,396, is 1.
Now, the common factors can be found like this.
801:3x 3x 89
649:11x 59
473:11x 43
275:5x 5x 11
396:2x 2x 3x 3x 11
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3x 11x 11x 11 = 11979
Therefore, the value for common factors is 11979.
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 = 26777266035300/(1x11979)
LCM = 26777266035300/11979
LCM = 2235350700
Thus, we can understand that the LCM of 801,649,473,275,396 is 2235350700.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 801, 649, 473, 275, 396
1. What is the LCM of 801, 649, 473, 275, 396?
Answer: LCM of 801, 649, 473, 275, 396 is 2235350700.
2. How to calculate the LCM of 801, 649, 473, 275, 396?
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 801, 649, 473, 275, 396.
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}.