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LCM of 350, 317, 140, 365, 197

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


Find the LCM of 350, 317, 140, 365, 197 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 350, 317, 140, 365, 197. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 350,317,140,365,197

Given numbers are 350,317,140,365,197

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

The LCM of 350,317,140,365,197 is 3191143900.

Find LCM of 350,317,140,365,197 with Prime Factorization


2 350, 317, 140, 365, 197
5 175, 317, 70, 365, 197
7 35, 317, 14, 73, 197
5, 317, 2, 73, 197

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

2 x 5 x 7 x 5 x 317 x 2 x 73 x 197 = 3191143900

Therefore, the lowest common multiple of 350,317,140,365,197 is 3191143900.

LCM Formula to Find Lowest Common Multiple of 350,317,140,365,197

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.

350 x 317 x 140 x 365 x 197 = 1116900365000

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.

350 : 1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 175, 350

317 : 1, 317

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

365 : 1, 5, 73, 365

197 : 1, 197

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 350,317,140,365,197, is 1.

Now, the common factors can be found like this.

350:2x 5x 5x 7

317:317

140:2x 2x 5x 7

365:5x 73

197:197

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

2x 5x 5x 7 = 350

Therefore, the value for common factors is 350.

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 = 1116900365000/(1x350)

LCM = 1116900365000/350

LCM = 3191143900

Thus, we can understand that the LCM of 350,317,140,365,197 is 3191143900.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 350, 317, 140, 365, 197

1. What is the LCM of 350, 317, 140, 365, 197?

Answer: LCM of 350, 317, 140, 365, 197 is 3191143900.

2. How to calculate the LCM of 350, 317, 140, 365, 197?

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 350, 317, 140, 365, 197.

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}.