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LCM of 514, 724, 969, 728

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


Find the LCM of 514, 724, 969, 728 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 514, 724, 969, 728. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 514,724,969,728

Given numbers are 514,724,969,728

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

The LCM of 514,724,969,728 is 32814580344.

Find LCM of 514,724,969,728 with Prime Factorization


2 514, 724, 969, 728
2 257, 362, 969, 364
257, 181, 969, 182

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

2 x 2 x 257 x 181 x 969 x 182 = 32814580344

Therefore, the lowest common multiple of 514,724,969,728 is 32814580344.

LCM Formula to Find Lowest Common Multiple of 514,724,969,728

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.

514 x 724 x 969 x 728 = 262516642752

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.

514 : 1, 2, 257, 514

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

969 : 1, 3, 17, 19, 51, 57, 323, 969

728 : 1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 514,724,969,728, is 1.

Now, the common factors can be found like this.

514:2x 257

724:2x 2x 181

969:3x 17x 19

728:2x 2x 2x 7x 13

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 2 = 8

Therefore, the value for common factors is 8.

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 = 262516642752/(1x8)

LCM = 262516642752/8

LCM = 32814580344

Thus, we can understand that the LCM of 514,724,969,728 is 32814580344.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 514, 724, 969, 728

1. What is the LCM of 514, 724, 969, 728?

Answer: LCM of 514, 724, 969, 728 is 32814580344.

2. How to calculate the LCM of 514, 724, 969, 728?

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 514, 724, 969, 728.

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}.