Find the LCM of 821, 381, 254, 887 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 821, 381, 254, 887. So, keep reading to learn more.
Given numbers are 821,381,254,887
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 821,381,254,887 is 554908974.
Find LCM of 821,381,254,887 with Prime Factorization
127 | 821, 381, 254, 887 |
821, 3, 2, 887 |
Multiply the prime numbers at the bottom and the left side.
127 x 821 x 3 x 2 x 887 = 554908974
Therefore, the lowest common multiple of 821,381,254,887 is 554908974.
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.
821 x 381 x 254 x 887 = 70473439698
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.
821 : 1, 821
381 : 1, 3, 127, 381
254 : 1, 2, 127, 254
887 : 1, 887
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 821,381,254,887, is 1.
Now, the common factors can be found like this.
821:821
381:3x 127
254:2x 127
887:887
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
127 = 127
Therefore, the value for common factors is 127.
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 = 70473439698/(1x127)
LCM = 70473439698/127
LCM = 554908974
Thus, we can understand that the LCM of 821,381,254,887 is 554908974.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 821, 381, 254, 887?
Answer: LCM of 821, 381, 254, 887 is 554908974.
2. How to calculate the LCM of 821, 381, 254, 887?
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 821, 381, 254, 887.
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}.