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LCM of 234, 299, 706, 862

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


Find the LCM of 234, 299, 706, 862 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 234, 299, 706, 862. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 234,299,706,862

Given numbers are 234,299,706,862

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

The LCM of 234,299,706,862 is 818833626.

Find LCM of 234,299,706,862 with Prime Factorization


2 234, 299, 706, 862
13 117, 299, 353, 431
9, 23, 353, 431

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

2 x 13 x 9 x 23 x 353 x 431 = 818833626

Therefore, the lowest common multiple of 234,299,706,862 is 818833626.

LCM Formula to Find Lowest Common Multiple of 234,299,706,862

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.

234 x 299 x 706 x 862 = 42579348552

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.

234 : 1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 117, 234

299 : 1, 13, 23, 299

706 : 1, 2, 353, 706

862 : 1, 2, 431, 862

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 234,299,706,862, is 1.

Now, the common factors can be found like this.

234:2x 3x 3x 13

299:13x 23

706:2x 353

862:2x 431

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 13 = 52

Therefore, the value for common factors is 52.

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 = 42579348552/(1x52)

LCM = 42579348552/52

LCM = 818833626

Thus, we can understand that the LCM of 234,299,706,862 is 818833626.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 234, 299, 706, 862

1. What is the LCM of 234, 299, 706, 862?

Answer: LCM of 234, 299, 706, 862 is 818833626.

2. How to calculate the LCM of 234, 299, 706, 862?

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 234, 299, 706, 862.

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}.