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LCM of 214, 892, 833, 397

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


Find the LCM of 214, 892, 833, 397 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 214, 892, 833, 397. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 214,892,833,397

Given numbers are 214,892,833,397

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

The LCM of 214,892,833,397 is 31563426244.

Find LCM of 214,892,833,397 with Prime Factorization


2 214, 892, 833, 397
107, 446, 833, 397

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

2 x 107 x 446 x 833 x 397 = 31563426244

Therefore, the lowest common multiple of 214,892,833,397 is 31563426244.

LCM Formula to Find Lowest Common Multiple of 214,892,833,397

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.

214 x 892 x 833 x 397 = 63126852488

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.

214 : 1, 2, 107, 214

892 : 1, 2, 4, 223, 446, 892

833 : 1, 7, 17, 49, 119, 833

397 : 1, 397

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 214,892,833,397, is 1.

Now, the common factors can be found like this.

214:2x 107

892:2x 2x 223

833:7x 7x 17

397:397

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

2 = 2

Therefore, the value for common factors is 2.

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 = 63126852488/(1x2)

LCM = 63126852488/2

LCM = 31563426244

Thus, we can understand that the LCM of 214,892,833,397 is 31563426244.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 214, 892, 833, 397

1. What is the LCM of 214, 892, 833, 397?

Answer: LCM of 214, 892, 833, 397 is 31563426244.

2. How to calculate the LCM of 214, 892, 833, 397?

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 214, 892, 833, 397.

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}.