Find the LCM of 821, 767, 767, 119 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, 767, 767, 119. So, keep reading to learn more.
Given numbers are 821,767,767,119
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 821,767,767,119 is 74935133.
Find LCM of 821,767,767,119 with Prime Factorization
13 | 821, 767, 767, 119 |
59 | 821, 59, 59, 119 |
821, 1, 1, 119 |
Multiply the prime numbers at the bottom and the left side.
13 x 59 x 821 x 1 x 1 x 119 = 74935133
Therefore, the lowest common multiple of 821,767,767,119 is 74935133.
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 767 x 767 x 119 = 57475247011
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
767 : 1, 13, 59, 767
767 : 1, 13, 59, 767
119 : 1, 7, 17, 119
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 821,767,767,119, is 1.
Now, the common factors can be found like this.
821:821
767:13x 59
767:13x 59
119:7x 17
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
13x 59 = 767
Therefore, the value for common factors is 767.
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 = 57475247011/(1x767)
LCM = 57475247011/767
LCM = 74935133
Thus, we can understand that the LCM of 821,767,767,119 is 74935133.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 821, 767, 767, 119?
Answer: LCM of 821, 767, 767, 119 is 74935133.
2. How to calculate the LCM of 821, 767, 767, 119?
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, 767, 767, 119.
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}.