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LCM of 511, 152, 732, 365

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


Find the LCM of 511, 152, 732, 365 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 511, 152, 732, 365. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 511,152,732,365

Given numbers are 511,152,732,365

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

The LCM of 511,152,732,365 is 71069880.

Find LCM of 511,152,732,365 with Prime Factorization


2 511, 152, 732, 365
2 511, 76, 366, 365
73 511, 38, 183, 365
7, 38, 183, 5

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

2 x 2 x 73 x 7 x 38 x 183 x 5 = 71069880

Therefore, the lowest common multiple of 511,152,732,365 is 71069880.

LCM Formula to Find Lowest Common Multiple of 511,152,732,365

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.

511 x 152 x 732 x 365 = 20752404960

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.

511 : 1, 7, 73, 511

152 : 1, 2, 4, 8, 19, 38, 76, 152

732 : 1, 2, 3, 4, 6, 12, 61, 122, 183, 244, 366, 732

365 : 1, 5, 73, 365

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 511,152,732,365, is 1.

Now, the common factors can be found like this.

511:7x 73

152:2x 2x 2x 19

732:2x 2x 3x 61

365:5x 73

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 73 = 292

Therefore, the value for common factors is 292.

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 = 20752404960/(1x292)

LCM = 20752404960/292

LCM = 71069880

Thus, we can understand that the LCM of 511,152,732,365 is 71069880.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 511, 152, 732, 365

1. What is the LCM of 511, 152, 732, 365?

Answer: LCM of 511, 152, 732, 365 is 71069880.

2. How to calculate the LCM of 511, 152, 732, 365?

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 511, 152, 732, 365.

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}.