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LCM of 190, 756, 906, 271

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


Find the LCM of 190, 756, 906, 271 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, 756, 906, 271. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 190,756,906,271

Given numbers are 190,756,906,271

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

The LCM of 190,756,906,271 is 2938946220.

Find LCM of 190,756,906,271 with Prime Factorization


2 190, 756, 906, 271
3 95, 378, 453, 271
95, 126, 151, 271

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

2 x 3 x 95 x 126 x 151 x 271 = 2938946220

Therefore, the lowest common multiple of 190,756,906,271 is 2938946220.

LCM Formula to Find Lowest Common Multiple of 190,756,906,271

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 756 x 906 x 271 = 35267354640

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

756 : 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756

906 : 1, 2, 3, 6, 151, 302, 453, 906

271 : 1, 271

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 190,756,906,271, is 1.

Now, the common factors can be found like this.

190:2x 5x 19

756:2x 2x 3x 3x 3x 7

906:2x 3x 151

271:271

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 3 = 12

Therefore, the value for common factors is 12.

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 = 35267354640/(1x12)

LCM = 35267354640/12

LCM = 2938946220

Thus, we can understand that the LCM of 190,756,906,271 is 2938946220.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 190, 756, 906, 271

1. What is the LCM of 190, 756, 906, 271?

Answer: LCM of 190, 756, 906, 271 is 2938946220.

2. How to calculate the LCM of 190, 756, 906, 271?

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, 756, 906, 271.

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}.