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LCM of 641, 562, 731, 284

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


Find the LCM of 641, 562, 731, 284 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 641, 562, 731, 284. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 641,562,731,284

Given numbers are 641,562,731,284

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

The LCM of 641,562,731,284 is 37393840084.

Find LCM of 641,562,731,284 with Prime Factorization


2 641, 562, 731, 284
641, 281, 731, 142

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

2 x 641 x 281 x 731 x 142 = 37393840084

Therefore, the lowest common multiple of 641,562,731,284 is 37393840084.

LCM Formula to Find Lowest Common Multiple of 641,562,731,284

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.

641 x 562 x 731 x 284 = 74787680168

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.

641 : 1, 641

562 : 1, 2, 281, 562

731 : 1, 17, 43, 731

284 : 1, 2, 4, 71, 142, 284

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 641,562,731,284, is 1.

Now, the common factors can be found like this.

641:641

562:2x 281

731:17x 43

284:2x 2x 71

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 = 74787680168/(1x2)

LCM = 74787680168/2

LCM = 37393840084

Thus, we can understand that the LCM of 641,562,731,284 is 37393840084.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 641, 562, 731, 284

1. What is the LCM of 641, 562, 731, 284?

Answer: LCM of 641, 562, 731, 284 is 37393840084.

2. How to calculate the LCM of 641, 562, 731, 284?

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 641, 562, 731, 284.

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}.