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LCM of 764, 203, 174, 779

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


Find the LCM of 764, 203, 174, 779 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 764, 203, 174, 779. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 764,203,174,779

Given numbers are 764,203,174,779

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

The LCM of 764,203,174,779 is 362450004.

Find LCM of 764,203,174,779 with Prime Factorization


2 764, 203, 174, 779
29 382, 203, 87, 779
382, 7, 3, 779

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

2 x 29 x 382 x 7 x 3 x 779 = 362450004

Therefore, the lowest common multiple of 764,203,174,779 is 362450004.

LCM Formula to Find Lowest Common Multiple of 764,203,174,779

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.

764 x 203 x 174 x 779 = 21022100232

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.

764 : 1, 2, 4, 191, 382, 764

203 : 1, 7, 29, 203

174 : 1, 2, 3, 6, 29, 58, 87, 174

779 : 1, 19, 41, 779

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 764,203,174,779, is 1.

Now, the common factors can be found like this.

764:2x 2x 191

203:7x 29

174:2x 3x 29

779:19x 41

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

2x 29 = 58

Therefore, the value for common factors is 58.

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 = 21022100232/(1x58)

LCM = 21022100232/58

LCM = 362450004

Thus, we can understand that the LCM of 764,203,174,779 is 362450004.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 764, 203, 174, 779

1. What is the LCM of 764, 203, 174, 779?

Answer: LCM of 764, 203, 174, 779 is 362450004.

2. How to calculate the LCM of 764, 203, 174, 779?

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 764, 203, 174, 779.

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}.