Find the LCM of 101, 847, 377, 707, 751 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 101, 847, 377, 707, 751. So, keep reading to learn more.
Given numbers are 101,847,377,707,751
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 101,847,377,707,751 is 24220665469.
Find LCM of 101,847,377,707,751 with Prime Factorization
7 | 101, 847, 377, 707, 751 |
101 | 101, 121, 377, 101, 751 |
1, 121, 377, 1, 751 |
Multiply the prime numbers at the bottom and the left side.
7 x 101 x 1 x 121 x 377 x 1 x 751 = 24220665469
Therefore, the lowest common multiple of 101,847,377,707,751 is 24220665469.
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.
101 x 847 x 377 x 707 x 751 = 17124010486583
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.
101 : 1, 101
847 : 1, 7, 11, 77, 121, 847
377 : 1, 13, 29, 377
707 : 1, 7, 101, 707
751 : 1, 751
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 101,847,377,707,751, is 1.
Now, the common factors can be found like this.
101:101
847:7x 11x 11
377:13x 29
707:7x 101
751:751
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
7x 101 = 707
Therefore, the value for common factors is 707.
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 = 17124010486583/(1x707)
LCM = 17124010486583/707
LCM = 24220665469
Thus, we can understand that the LCM of 101,847,377,707,751 is 24220665469.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 101, 847, 377, 707, 751?
Answer: LCM of 101, 847, 377, 707, 751 is 24220665469.
2. How to calculate the LCM of 101, 847, 377, 707, 751?
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 101, 847, 377, 707, 751.
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}.