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LCM of 685, 140, 589, 988

Created By : Jatin Gogia
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023


Find the LCM of 685, 140, 589, 988 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 685, 140, 589, 988. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 685,140,589,988

Given numbers are 685,140,589,988

The least common multiple of numbers can be find using the prime factorization method or LCM formula.

The LCM of 685,140,589,988 is 146861260.

Find LCM of 685,140,589,988 with Prime Factorization


2 685, 140, 589, 988
2 685, 70, 589, 494
5 685, 35, 589, 247
19 137, 7, 589, 247
137, 7, 31, 13

Multiply the prime numbers at the bottom and the left side.

2 x 2 x 5 x 19 x 137 x 7 x 31 x 13 = 146861260

Therefore, the lowest common multiple of 685,140,589,988 is 146861260.

LCM Formula to Find Lowest Common Multiple of 685,140,589,988

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.

685 x 140 x 589 x 988 = 55807278800

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.

685 : 1, 5, 137, 685

140 : 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140

589 : 1, 19, 31, 589

988 : 1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 685,140,589,988, is 1.

Now, the common factors can be found like this.

685:5x 137

140:2x 2x 5x 7

589:19x 31

988:2x 2x 13x 19

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 2x 5x 19 = 380

Therefore, the value for common factors is 380.

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 = 55807278800/(1x380)

LCM = 55807278800/380

LCM = 146861260

Thus, we can understand that the LCM of 685,140,589,988 is 146861260.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 685, 140, 589, 988

1. What is the LCM of 685, 140, 589, 988?

Answer: LCM of 685, 140, 589, 988 is 146861260.

2. How to calculate the LCM of 685, 140, 589, 988?

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 685, 140, 589, 988.

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}.