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LCM of 431, 862, 824, 361

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


Find the LCM of 431, 862, 824, 361 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 431, 862, 824, 361. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 431,862,824,361

Given numbers are 431,862,824,361

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

The LCM of 431,862,824,361 is 128206984.

Find LCM of 431,862,824,361 with Prime Factorization


2 431, 862, 824, 361
431 431, 431, 412, 361
1, 1, 412, 361

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

2 x 431 x 1 x 1 x 412 x 361 = 128206984

Therefore, the lowest common multiple of 431,862,824,361 is 128206984.

LCM Formula to Find Lowest Common Multiple of 431,862,824,361

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.

431 x 862 x 824 x 361 = 110514420208

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.

431 : 1, 431

862 : 1, 2, 431, 862

824 : 1, 2, 4, 8, 103, 206, 412, 824

361 : 1, 19, 361

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 431,862,824,361, is 1.

Now, the common factors can be found like this.

431:431

862:2x 431

824:2x 2x 2x 103

361:19x 19

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

2x 431 = 862

Therefore, the value for common factors is 862.

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 = 110514420208/(1x862)

LCM = 110514420208/862

LCM = 128206984

Thus, we can understand that the LCM of 431,862,824,361 is 128206984.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 431, 862, 824, 361

1. What is the LCM of 431, 862, 824, 361?

Answer: LCM of 431, 862, 824, 361 is 128206984.

2. How to calculate the LCM of 431, 862, 824, 361?

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 431, 862, 824, 361.

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}.