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LCM of 190, 655, 565, 713

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


Find the LCM of 190, 655, 565, 713 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 190, 655, 565, 713. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 190,655,565,713

Given numbers are 190,655,565,713

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

The LCM of 190,655,565,713 is 2005362410.

Find LCM of 190,655,565,713 with Prime Factorization


5 190, 655, 565, 713
38, 131, 113, 713

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

5 x 38 x 131 x 113 x 713 = 2005362410

Therefore, the lowest common multiple of 190,655,565,713 is 2005362410.

LCM Formula to Find Lowest Common Multiple of 190,655,565,713

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.

190 x 655 x 565 x 713 = 50134060250

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.

190 : 1, 2, 5, 10, 19, 38, 95, 190

655 : 1, 5, 131, 655

565 : 1, 5, 113, 565

713 : 1, 23, 31, 713

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 190,655,565,713, is 1.

Now, the common factors can be found like this.

190:2x 5x 19

655:5x 131

565:5x 113

713:23x 31

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

5x 5 = 25

Therefore, the value for common factors is 25.

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 = 50134060250/(1x25)

LCM = 50134060250/25

LCM = 2005362410

Thus, we can understand that the LCM of 190,655,565,713 is 2005362410.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 190, 655, 565, 713

1. What is the LCM of 190, 655, 565, 713?

Answer: LCM of 190, 655, 565, 713 is 2005362410.

2. How to calculate the LCM of 190, 655, 565, 713?

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 190, 655, 565, 713.

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}.