LCM of 246, 403, 989, 774, 473
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 246, 403, 989, 774, 473 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 246, 403, 989, 774, 473. So, keep reading to learn more.
Given numbers are 246,403,989,774,473
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 246,403,989,774,473 is 3235566906.
Find LCM of 246,403,989,774,473 with Prime Factorization
| 2 | 246, 403, 989, 774, 473 |
| 3 | 123, 403, 989, 387, 473 |
| 43 | 41, 403, 989, 129, 473 |
| 41, 403, 23, 3, 11 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 43 x 41 x 403 x 23 x 3 x 11 = 3235566906
Therefore, the lowest common multiple of 246,403,989,774,473 is 3235566906.
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.
246 x 403 x 989 x 774 x 473 = 35895379255164
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.
246 : 1, 2, 3, 6, 41, 82, 123, 246
403 : 1, 13, 31, 403
989 : 1, 23, 43, 989
774 : 1, 2, 3, 6, 9, 18, 43, 86, 129, 258, 387, 774
473 : 1, 11, 43, 473
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 246,403,989,774,473, is 1.
Now, the common factors can be found like this.
246:2x 3x 41
403:13x 31
989:23x 43
774:2x 3x 3x 43
473:11x 43
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 43x 43 = 11094
Therefore, the value for common factors is 11094.
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 = 35895379255164/(1x11094)
LCM = 35895379255164/11094
LCM = 3235566906
Thus, we can understand that the LCM of 246,403,989,774,473 is 3235566906.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 246, 403, 989, 774, 473
1. What is the LCM of 246, 403, 989, 774, 473?
Answer: LCM of 246, 403, 989, 774, 473 is 3235566906.
2. How to calculate the LCM of 246, 403, 989, 774, 473?
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 246, 403, 989, 774, 473.
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}.