LCM of 691, 655, 785, 314
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 691, 655, 785, 314 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 691, 655, 785, 314. So, keep reading to learn more.
Given numbers are 691,655,785,314
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 691,655,785,314 is 142117970.
Find LCM of 691,655,785,314 with Prime Factorization
| 5 | 691, 655, 785, 314 |
| 157 | 691, 131, 157, 314 |
| 691, 131, 1, 2 |
Multiply the prime numbers at the bottom and the left side.
5 x 157 x 691 x 131 x 1 x 2 = 142117970
Therefore, the lowest common multiple of 691,655,785,314 is 142117970.
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.
691 x 655 x 785 x 314 = 111562606450
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.
691 : 1, 691
655 : 1, 5, 131, 655
785 : 1, 5, 157, 785
314 : 1, 2, 157, 314
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 691,655,785,314, is 1.
Now, the common factors can be found like this.
691:691
655:5x 131
785:5x 157
314:2x 157
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
5x 157 = 785
Therefore, the value for common factors is 785.
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 = 111562606450/(1x785)
LCM = 111562606450/785
LCM = 142117970
Thus, we can understand that the LCM of 691,655,785,314 is 142117970.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 691, 655, 785, 314
1. What is the LCM of 691, 655, 785, 314?
Answer: LCM of 691, 655, 785, 314 is 142117970.
2. How to calculate the LCM of 691, 655, 785, 314?
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 691, 655, 785, 314.
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}.