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LCM of 893, 706, 188, 538

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


Find the LCM of 893, 706, 188, 538 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 893, 706, 188, 538. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 893,706,188,538

Given numbers are 893,706,188,538

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

The LCM of 893,706,188,538 is 339186404.

Find LCM of 893,706,188,538 with Prime Factorization


2 893, 706, 188, 538
47 893, 353, 94, 269
19, 353, 2, 269

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

2 x 47 x 19 x 353 x 2 x 269 = 339186404

Therefore, the lowest common multiple of 893,706,188,538 is 339186404.

LCM Formula to Find Lowest Common Multiple of 893,706,188,538

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.

893 x 706 x 188 x 538 = 63767043952

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.

893 : 1, 19, 47, 893

706 : 1, 2, 353, 706

188 : 1, 2, 4, 47, 94, 188

538 : 1, 2, 269, 538

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 893,706,188,538, is 1.

Now, the common factors can be found like this.

893:19x 47

706:2x 353

188:2x 2x 47

538:2x 269

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 47 = 188

Therefore, the value for common factors is 188.

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 = 63767043952/(1x188)

LCM = 63767043952/188

LCM = 339186404

Thus, we can understand that the LCM of 893,706,188,538 is 339186404.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 893, 706, 188, 538

1. What is the LCM of 893, 706, 188, 538?

Answer: LCM of 893, 706, 188, 538 is 339186404.

2. How to calculate the LCM of 893, 706, 188, 538?

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 893, 706, 188, 538.

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}.