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LCM of 762, 469, 635, 201

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


Find the LCM of 762, 469, 635, 201 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 762, 469, 635, 201. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 762,469,635,201

Given numbers are 762,469,635,201

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

The LCM of 762,469,635,201 is 1786890.

Find LCM of 762,469,635,201 with Prime Factorization


3 762, 469, 635, 201
67 254, 469, 635, 67
127 254, 7, 635, 1
2, 7, 5, 1

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

3 x 67 x 127 x 2 x 7 x 5 x 1 = 1786890

Therefore, the lowest common multiple of 762,469,635,201 is 1786890.

LCM Formula to Find Lowest Common Multiple of 762,469,635,201

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.

762 x 469 x 635 x 201 = 45613941030

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.

762 : 1, 2, 3, 6, 127, 254, 381, 762

469 : 1, 7, 67, 469

635 : 1, 5, 127, 635

201 : 1, 3, 67, 201

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 762,469,635,201, is 1.

Now, the common factors can be found like this.

762:2x 3x 127

469:7x 67

635:5x 127

201:3x 67

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

3x 67x 127 = 25527

Therefore, the value for common factors is 25527.

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 = 45613941030/(1x25527)

LCM = 45613941030/25527

LCM = 1786890

Thus, we can understand that the LCM of 762,469,635,201 is 1786890.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 762, 469, 635, 201

1. What is the LCM of 762, 469, 635, 201?

Answer: LCM of 762, 469, 635, 201 is 1786890.

2. How to calculate the LCM of 762, 469, 635, 201?

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 762, 469, 635, 201.

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}.