Find the LCM of 767, 914, 224, 802 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 767, 914, 224, 802. So, keep reading to learn more.
Given numbers are 767,914,224,802
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 767,914,224,802 is 31485018656.
Find LCM of 767,914,224,802 with Prime Factorization
2 | 767, 914, 224, 802 |
767, 457, 112, 401 |
Multiply the prime numbers at the bottom and the left side.
2 x 767 x 457 x 112 x 401 = 31485018656
Therefore, the lowest common multiple of 767,914,224,802 is 31485018656.
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.
767 x 914 x 224 x 802 = 125940074624
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.
767 : 1, 13, 59, 767
914 : 1, 2, 457, 914
224 : 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 112, 224
802 : 1, 2, 401, 802
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 767,914,224,802, is 1.
Now, the common factors can be found like this.
767:13x 59
914:2x 457
224:2x 2x 2x 2x 2x 7
802:2x 401
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2 = 4
Therefore, the value for common factors is 4.
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 = 125940074624/(1x4)
LCM = 125940074624/4
LCM = 31485018656
Thus, we can understand that the LCM of 767,914,224,802 is 31485018656.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 767, 914, 224, 802?
Answer: LCM of 767, 914, 224, 802 is 31485018656.
2. How to calculate the LCM of 767, 914, 224, 802?
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 767, 914, 224, 802.
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}.