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LCM of 387, 973, 430, 485

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


Find the LCM of 387, 973, 430, 485 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 387, 973, 430, 485. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 387,973,430,485

Given numbers are 387,973,430,485

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

The LCM of 387,973,430,485 is 365254470.

Find LCM of 387,973,430,485 with Prime Factorization


5 387, 973, 430, 485
43 387, 973, 86, 97
9, 973, 2, 97

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

5 x 43 x 9 x 973 x 2 x 97 = 365254470

Therefore, the lowest common multiple of 387,973,430,485 is 365254470.

LCM Formula to Find Lowest Common Multiple of 387,973,430,485

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.

387 x 973 x 430 x 485 = 78529711050

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.

387 : 1, 3, 9, 43, 129, 387

973 : 1, 7, 139, 973

430 : 1, 2, 5, 10, 43, 86, 215, 430

485 : 1, 5, 97, 485

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 387,973,430,485, is 1.

Now, the common factors can be found like this.

387:3x 3x 43

973:7x 139

430:2x 5x 43

485:5x 97

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

5x 43 = 215

Therefore, the value for common factors is 215.

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 = 78529711050/(1x215)

LCM = 78529711050/215

LCM = 365254470

Thus, we can understand that the LCM of 387,973,430,485 is 365254470.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 387, 973, 430, 485

1. What is the LCM of 387, 973, 430, 485?

Answer: LCM of 387, 973, 430, 485 is 365254470.

2. How to calculate the LCM of 387, 973, 430, 485?

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 387, 973, 430, 485.

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}.