LCM of 689, 540, 130, 785
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 689, 540, 130, 785 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 689, 540, 130, 785. So, keep reading to learn more.
Given numbers are 689,540,130,785
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 689,540,130,785 is 58413420.
Find LCM of 689,540,130,785 with Prime Factorization
| 2 | 689, 540, 130, 785 |
| 5 | 689, 270, 65, 785 |
| 13 | 689, 54, 13, 157 |
| 53, 54, 1, 157 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 13 x 53 x 54 x 1 x 157 = 58413420
Therefore, the lowest common multiple of 689,540,130,785 is 58413420.
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.
689 x 540 x 130 x 785 = 37968723000
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.
689 : 1, 13, 53, 689
540 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 90, 108, 135, 180, 270, 540
130 : 1, 2, 5, 10, 13, 26, 65, 130
785 : 1, 5, 157, 785
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 689,540,130,785, is 1.
Now, the common factors can be found like this.
689:13x 53
540:2x 2x 3x 3x 3x 5
130:2x 5x 13
785:5x 157
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 5x 5x 13 = 650
Therefore, the value for common factors is 650.
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 = 37968723000/(1x650)
LCM = 37968723000/650
LCM = 58413420
Thus, we can understand that the LCM of 689,540,130,785 is 58413420.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 689, 540, 130, 785
1. What is the LCM of 689, 540, 130, 785?
Answer: LCM of 689, 540, 130, 785 is 58413420.
2. How to calculate the LCM of 689, 540, 130, 785?
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 689, 540, 130, 785.
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}.