LCM of 251, 922, 699, 421, 974
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 251, 922, 699, 421, 974 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 251, 922, 699, 421, 974. So, keep reading to learn more.
Given numbers are 251,922,699,421,974
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 251,922,699,421,974 is 33165983117406.
Find LCM of 251,922,699,421,974 with Prime Factorization
| 2 | 251, 922, 699, 421, 974 |
| 251, 461, 699, 421, 487 |
Multiply the prime numbers at the bottom and the left side.
2 x 251 x 461 x 699 x 421 x 487 = 33165983117406
Therefore, the lowest common multiple of 251,922,699,421,974 is 33165983117406.
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.
251 x 922 x 699 x 421 x 974 = 66331966234812
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.
251 : 1, 251
922 : 1, 2, 461, 922
699 : 1, 3, 233, 699
421 : 1, 421
974 : 1, 2, 487, 974
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 251,922,699,421,974, is 1.
Now, the common factors can be found like this.
251:251
922:2x 461
699:3x 233
421:421
974:2x 487
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2 = 2
Therefore, the value for common factors is 2.
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 = 66331966234812/(1x2)
LCM = 66331966234812/2
LCM = 33165983117406
Thus, we can understand that the LCM of 251,922,699,421,974 is 33165983117406.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 251, 922, 699, 421, 974
1. What is the LCM of 251, 922, 699, 421, 974?
Answer: LCM of 251, 922, 699, 421, 974 is 33165983117406.
2. How to calculate the LCM of 251, 922, 699, 421, 974?
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 251, 922, 699, 421, 974.
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}.