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LCM of 764, 341, 442, 724, 935

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


Find the LCM of 764, 341, 442, 724, 935 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, 341, 442, 724, 935. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 764,341,442,724,935

Given numbers are 764,341,442,724,935

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

The LCM of 764,341,442,724,935 is 52106102620.

Find LCM of 764,341,442,724,935 with Prime Factorization


2 764, 341, 442, 724, 935
2 382, 341, 221, 362, 935
11 191, 341, 221, 181, 935
17 191, 31, 221, 181, 85
191, 31, 13, 181, 5

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

2 x 2 x 11 x 17 x 191 x 31 x 13 x 181 x 5 = 52106102620

Therefore, the lowest common multiple of 764,341,442,724,935 is 52106102620.

LCM Formula to Find Lowest Common Multiple of 764,341,442,724,935

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 341 x 442 x 724 x 935 = 77950729519520

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

341 : 1, 11, 31, 341

442 : 1, 2, 13, 17, 26, 34, 221, 442

724 : 1, 2, 4, 181, 362, 724

935 : 1, 5, 11, 17, 55, 85, 187, 935

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 764,341,442,724,935, is 1.

Now, the common factors can be found like this.

764:2x 2x 191

341:11x 31

442:2x 13x 17

724:2x 2x 181

935:5x 11x 17

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

2x 2x 2x 11x 17 = 1496

Therefore, the value for common factors is 1496.

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 = 77950729519520/(1x1496)

LCM = 77950729519520/1496

LCM = 52106102620

Thus, we can understand that the LCM of 764,341,442,724,935 is 52106102620.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 764, 341, 442, 724, 935

1. What is the LCM of 764, 341, 442, 724, 935?

Answer: LCM of 764, 341, 442, 724, 935 is 52106102620.

2. How to calculate the LCM of 764, 341, 442, 724, 935?

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, 341, 442, 724, 935.

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}.