LCM of 621, 426, 807, 927, 502
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 621, 426, 807, 927, 502 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 621, 426, 807, 927, 502. So, keep reading to learn more.
Given numbers are 621,426,807,927,502
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 621,426,807,927,502 is 613257927174.
Find LCM of 621,426,807,927,502 with Prime Factorization
| 2 | 621, 426, 807, 927, 502 |
| 3 | 621, 213, 807, 927, 251 |
| 3 | 207, 71, 269, 309, 251 |
| 69, 71, 269, 103, 251 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 69 x 71 x 269 x 103 x 251 = 613257927174
Therefore, the lowest common multiple of 621,426,807,927,502 is 613257927174.
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.
621 x 426 x 807 x 927 x 502 = 99347784202188
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.
621 : 1, 3, 9, 23, 27, 69, 207, 621
426 : 1, 2, 3, 6, 71, 142, 213, 426
807 : 1, 3, 269, 807
927 : 1, 3, 9, 103, 309, 927
502 : 1, 2, 251, 502
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 621,426,807,927,502, is 1.
Now, the common factors can be found like this.
621:3x 3x 3x 23
426:2x 3x 71
807:3x 269
927:3x 3x 103
502:2x 251
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 3x 3x 3 = 162
Therefore, the value for common factors is 162.
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 = 99347784202188/(1x162)
LCM = 99347784202188/162
LCM = 613257927174
Thus, we can understand that the LCM of 621,426,807,927,502 is 613257927174.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 621, 426, 807, 927, 502
1. What is the LCM of 621, 426, 807, 927, 502?
Answer: LCM of 621, 426, 807, 927, 502 is 613257927174.
2. How to calculate the LCM of 621, 426, 807, 927, 502?
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 621, 426, 807, 927, 502.
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}.