LCM of 655, 965, 689, 869
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 655, 965, 689, 869 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 655, 965, 689, 869. So, keep reading to learn more.
Given numbers are 655,965,689,869
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 655,965,689,869 is 75689843515.
Find LCM of 655,965,689,869 with Prime Factorization
| 5 | 655, 965, 689, 869 |
| 131, 193, 689, 869 |
Multiply the prime numbers at the bottom and the left side.
5 x 131 x 193 x 689 x 869 = 75689843515
Therefore, the lowest common multiple of 655,965,689,869 is 75689843515.
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.
655 x 965 x 689 x 869 = 378449217575
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.
655 : 1, 5, 131, 655
965 : 1, 5, 193, 965
689 : 1, 13, 53, 689
869 : 1, 11, 79, 869
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 655,965,689,869, is 1.
Now, the common factors can be found like this.
655:5x 131
965:5x 193
689:13x 53
869:11x 79
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
5 = 5
Therefore, the value for common factors is 5.
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 = 378449217575/(1x5)
LCM = 378449217575/5
LCM = 75689843515
Thus, we can understand that the LCM of 655,965,689,869 is 75689843515.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 655, 965, 689, 869
1. What is the LCM of 655, 965, 689, 869?
Answer: LCM of 655, 965, 689, 869 is 75689843515.
2. How to calculate the LCM of 655, 965, 689, 869?
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 655, 965, 689, 869.
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}.