Find the LCM of 747, 803, 851, 830, 167 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 747, 803, 851, 830, 167. So, keep reading to learn more.
Given numbers are 747,803,851,830,167
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 747,803,851,830,167 is 852476033970.
Find LCM of 747,803,851,830,167 with Prime Factorization
83 | 747, 803, 851, 830, 167 |
9, 803, 851, 10, 167 |
Multiply the prime numbers at the bottom and the left side.
83 x 9 x 803 x 851 x 10 x 167 = 852476033970
Therefore, the lowest common multiple of 747,803,851,830,167 is 852476033970.
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.
747 x 803 x 851 x 830 x 167 = 70755510819510
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.
747 : 1, 3, 9, 83, 249, 747
803 : 1, 11, 73, 803
851 : 1, 23, 37, 851
830 : 1, 2, 5, 10, 83, 166, 415, 830
167 : 1, 167
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 747,803,851,830,167, is 1.
Now, the common factors can be found like this.
747:3x 3x 83
803:11x 73
851:23x 37
830:2x 5x 83
167:167
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
83 = 83
Therefore, the value for common factors is 83.
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 = 70755510819510/(1x83)
LCM = 70755510819510/83
LCM = 852476033970
Thus, we can understand that the LCM of 747,803,851,830,167 is 852476033970.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 747, 803, 851, 830, 167?
Answer: LCM of 747, 803, 851, 830, 167 is 852476033970.
2. How to calculate the LCM of 747, 803, 851, 830, 167?
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 747, 803, 851, 830, 167.
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}.