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LCM of 309, 723, 435, 754

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


Find the LCM of 309, 723, 435, 754 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 309, 723, 435, 754. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 309,723,435,754

Given numbers are 309,723,435,754

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

The LCM of 309,723,435,754 is 280748130.

Find LCM of 309,723,435,754 with Prime Factorization


3 309, 723, 435, 754
29 103, 241, 145, 754
103, 241, 5, 26

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

3 x 29 x 103 x 241 x 5 x 26 = 280748130

Therefore, the lowest common multiple of 309,723,435,754 is 280748130.

LCM Formula to Find Lowest Common Multiple of 309,723,435,754

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.

309 x 723 x 435 x 754 = 73275261930

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.

309 : 1, 3, 103, 309

723 : 1, 3, 241, 723

435 : 1, 3, 5, 15, 29, 87, 145, 435

754 : 1, 2, 13, 26, 29, 58, 377, 754

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 309,723,435,754, is 1.

Now, the common factors can be found like this.

309:3x 103

723:3x 241

435:3x 5x 29

754:2x 13x 29

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

3x 3x 29 = 261

Therefore, the value for common factors is 261.

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 = 73275261930/(1x261)

LCM = 73275261930/261

LCM = 280748130

Thus, we can understand that the LCM of 309,723,435,754 is 280748130.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 309, 723, 435, 754

1. What is the LCM of 309, 723, 435, 754?

Answer: LCM of 309, 723, 435, 754 is 280748130.

2. How to calculate the LCM of 309, 723, 435, 754?

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 309, 723, 435, 754.

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}.