Find the LCM of 965, 681, 193, 752, 689 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 965, 681, 193, 752, 689. So, keep reading to learn more.
Given numbers are 965,681,193,752,689
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 965,681,193,752,689 is 340495587120.
Find LCM of 965,681,193,752,689 with Prime Factorization
193 | 965, 681, 193, 752, 689 |
5, 681, 1, 752, 689 |
Multiply the prime numbers at the bottom and the left side.
193 x 5 x 681 x 1 x 752 x 689 = 340495587120
Therefore, the lowest common multiple of 965,681,193,752,689 is 340495587120.
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.
965 x 681 x 193 x 752 x 689 = 65715648314160
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.
965 : 1, 5, 193, 965
681 : 1, 3, 227, 681
193 : 1, 193
752 : 1, 2, 4, 8, 16, 47, 94, 188, 376, 752
689 : 1, 13, 53, 689
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 965,681,193,752,689, is 1.
Now, the common factors can be found like this.
965:5x 193
681:3x 227
193:193
752:2x 2x 2x 2x 47
689:13x 53
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
193 = 193
Therefore, the value for common factors is 193.
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 = 65715648314160/(1x193)
LCM = 65715648314160/193
LCM = 340495587120
Thus, we can understand that the LCM of 965,681,193,752,689 is 340495587120.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 965, 681, 193, 752, 689?
Answer: LCM of 965, 681, 193, 752, 689 is 340495587120.
2. How to calculate the LCM of 965, 681, 193, 752, 689?
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 965, 681, 193, 752, 689.
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}.