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LCM of 431, 431, 854, 469

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


Find the LCM of 431, 431, 854, 469 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, 431, 854, 469. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 431,431,854,469

Given numbers are 431,431,854,469

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

The LCM of 431,431,854,469 is 24660958.

Find LCM of 431,431,854,469 with Prime Factorization


7 431, 431, 854, 469
431 431, 431, 122, 67
1, 1, 122, 67

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

7 x 431 x 1 x 1 x 122 x 67 = 24660958

Therefore, the lowest common multiple of 431,431,854,469 is 24660958.

LCM Formula to Find Lowest Common Multiple of 431,431,854,469

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 431 x 854 x 469 = 74402110286

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

431 : 1, 431

854 : 1, 2, 7, 14, 61, 122, 427, 854

469 : 1, 7, 67, 469

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 431,431,854,469, is 1.

Now, the common factors can be found like this.

431:431

431:431

854:2x 7x 61

469:7x 67

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

7x 431 = 3017

Therefore, the value for common factors is 3017.

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 = 74402110286/(1x3017)

LCM = 74402110286/3017

LCM = 24660958

Thus, we can understand that the LCM of 431,431,854,469 is 24660958.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 431, 431, 854, 469

1. What is the LCM of 431, 431, 854, 469?

Answer: LCM of 431, 431, 854, 469 is 24660958.

2. How to calculate the LCM of 431, 431, 854, 469?

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, 431, 854, 469.

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}.