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LCM of 103, 940, 680, 230, 985

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


Find the LCM of 103, 940, 680, 230, 985 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 103, 940, 680, 230, 985. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 103,940,680,230,985

Given numbers are 103,940,680,230,985

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

The LCM of 103,940,680,230,985 is 14915508280.

Find LCM of 103,940,680,230,985 with Prime Factorization


2 103, 940, 680, 230, 985
2 103, 470, 340, 115, 985
5 103, 235, 170, 115, 985
103, 47, 34, 23, 197

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

2 x 2 x 5 x 103 x 47 x 34 x 23 x 197 = 14915508280

Therefore, the lowest common multiple of 103,940,680,230,985 is 14915508280.

LCM Formula to Find Lowest Common Multiple of 103,940,680,230,985

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.

103 x 940 x 680 x 230 x 985 = 14915508280000

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.

103 : 1, 103

940 : 1, 2, 4, 5, 10, 20, 47, 94, 188, 235, 470, 940

680 : 1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680

230 : 1, 2, 5, 10, 23, 46, 115, 230

985 : 1, 5, 197, 985

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 103,940,680,230,985, is 1.

Now, the common factors can be found like this.

103:103

940:2x 2x 5x 47

680:2x 2x 2x 5x 17

230:2x 5x 23

985:5x 197

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 2x 5x 5x 5 = 1000

Therefore, the value for common factors is 1000.

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 = 14915508280000/(1x1000)

LCM = 14915508280000/1000

LCM = 14915508280

Thus, we can understand that the LCM of 103,940,680,230,985 is 14915508280.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 103, 940, 680, 230, 985

1. What is the LCM of 103, 940, 680, 230, 985?

Answer: LCM of 103, 940, 680, 230, 985 is 14915508280.

2. How to calculate the LCM of 103, 940, 680, 230, 985?

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 103, 940, 680, 230, 985.

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}.