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LCM of 191, 764, 442, 686, 838

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


Find the LCM of 191, 764, 442, 686, 838 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 191, 764, 442, 686, 838. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 191,764,442,686,838

Given numbers are 191,764,442,686,838

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

The LCM of 191,764,442,686,838 is 24265753148.

Find LCM of 191,764,442,686,838 with Prime Factorization


2 191, 764, 442, 686, 838
191 191, 382, 221, 343, 419
1, 2, 221, 343, 419

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

2 x 191 x 1 x 2 x 221 x 343 x 419 = 24265753148

Therefore, the lowest common multiple of 191,764,442,686,838 is 24265753148.

LCM Formula to Find Lowest Common Multiple of 191,764,442,686,838

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.

191 x 764 x 442 x 686 x 838 = 37078070810144

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.

191 : 1, 191

764 : 1, 2, 4, 191, 382, 764

442 : 1, 2, 13, 17, 26, 34, 221, 442

686 : 1, 2, 7, 14, 49, 98, 343, 686

838 : 1, 2, 419, 838

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 191,764,442,686,838, is 1.

Now, the common factors can be found like this.

191:191

764:2x 2x 191

442:2x 13x 17

686:2x 7x 7x 7

838:2x 419

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 191 = 1528

Therefore, the value for common factors is 1528.

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 = 37078070810144/(1x1528)

LCM = 37078070810144/1528

LCM = 24265753148

Thus, we can understand that the LCM of 191,764,442,686,838 is 24265753148.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 191, 764, 442, 686, 838

1. What is the LCM of 191, 764, 442, 686, 838?

Answer: LCM of 191, 764, 442, 686, 838 is 24265753148.

2. How to calculate the LCM of 191, 764, 442, 686, 838?

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 191, 764, 442, 686, 838.

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}.