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LCM of 421, 633, 769, 985, 985

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


Find the LCM of 421, 633, 769, 985, 985 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 421, 633, 769, 985, 985. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 421,633,769,985,985

Given numbers are 421,633,769,985,985

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

The LCM of 421,633,769,985,985 is 201859120245.

Find LCM of 421,633,769,985,985 with Prime Factorization


5 421, 633, 769, 985, 985
197 421, 633, 769, 197, 197
421, 633, 769, 1, 1

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

5 x 197 x 421 x 633 x 769 x 1 x 1 = 201859120245

Therefore, the lowest common multiple of 421,633,769,985,985 is 201859120245.

LCM Formula to Find Lowest Common Multiple of 421,633,769,985,985

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.

421 x 633 x 769 x 985 x 985 = 198831233441325

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.

421 : 1, 421

633 : 1, 3, 211, 633

769 : 1, 769

985 : 1, 5, 197, 985

985 : 1, 5, 197, 985

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 421,633,769,985,985, is 1.

Now, the common factors can be found like this.

421:421

633:3x 211

769:769

985:5x 197

985:5x 197

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

5x 197 = 985

Therefore, the value for common factors is 985.

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 = 198831233441325/(1x985)

LCM = 198831233441325/985

LCM = 201859120245

Thus, we can understand that the LCM of 421,633,769,985,985 is 201859120245.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 421, 633, 769, 985, 985

1. What is the LCM of 421, 633, 769, 985, 985?

Answer: LCM of 421, 633, 769, 985, 985 is 201859120245.

2. How to calculate the LCM of 421, 633, 769, 985, 985?

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 421, 633, 769, 985, 985.

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}.