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LCM of 732, 177, 427, 897

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


Find the LCM of 732, 177, 427, 897 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 732, 177, 427, 897. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 732,177,427,897

Given numbers are 732,177,427,897

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

The LCM of 732,177,427,897 is 90392484.

Find LCM of 732,177,427,897 with Prime Factorization


3 732, 177, 427, 897
61 244, 59, 427, 299
4, 59, 7, 299

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

3 x 61 x 4 x 59 x 7 x 299 = 90392484

Therefore, the lowest common multiple of 732,177,427,897 is 90392484.

LCM Formula to Find Lowest Common Multiple of 732,177,427,897

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.

732 x 177 x 427 x 897 = 49625473716

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.

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

177 : 1, 3, 59, 177

427 : 1, 7, 61, 427

897 : 1, 3, 13, 23, 39, 69, 299, 897

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 732,177,427,897, is 1.

Now, the common factors can be found like this.

732:2x 2x 3x 61

177:3x 59

427:7x 61

897:3x 13x 23

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 61 = 549

Therefore, the value for common factors is 549.

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 = 49625473716/(1x549)

LCM = 49625473716/549

LCM = 90392484

Thus, we can understand that the LCM of 732,177,427,897 is 90392484.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 732, 177, 427, 897

1. What is the LCM of 732, 177, 427, 897?

Answer: LCM of 732, 177, 427, 897 is 90392484.

2. How to calculate the LCM of 732, 177, 427, 897?

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 732, 177, 427, 897.

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}.