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LCM of 329, 723, 583, 770

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


Find the LCM of 329, 723, 583, 770 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 329, 723, 583, 770. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 329,723,583,770

Given numbers are 329,723,583,770

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

The LCM of 329,723,583,770 is 1386764610.

Find LCM of 329,723,583,770 with Prime Factorization


7 329, 723, 583, 770
11 47, 723, 583, 110
47, 723, 53, 10

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

7 x 11 x 47 x 723 x 53 x 10 = 1386764610

Therefore, the lowest common multiple of 329,723,583,770 is 1386764610.

LCM Formula to Find Lowest Common Multiple of 329,723,583,770

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.

329 x 723 x 583 x 770 = 106780874970

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.

329 : 1, 7, 47, 329

723 : 1, 3, 241, 723

583 : 1, 11, 53, 583

770 : 1, 2, 5, 7, 10, 11, 14, 22, 35, 55, 70, 77, 110, 154, 385, 770

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 329,723,583,770, is 1.

Now, the common factors can be found like this.

329:7x 47

723:3x 241

583:11x 53

770:2x 5x 7x 11

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

7x 11 = 77

Therefore, the value for common factors is 77.

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 = 106780874970/(1x77)

LCM = 106780874970/77

LCM = 1386764610

Thus, we can understand that the LCM of 329,723,583,770 is 1386764610.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 329, 723, 583, 770

1. What is the LCM of 329, 723, 583, 770?

Answer: LCM of 329, 723, 583, 770 is 1386764610.

2. How to calculate the LCM of 329, 723, 583, 770?

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 329, 723, 583, 770.

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}.