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LCM of 724, 874, 972, 323

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


Find the LCM of 724, 874, 972, 323 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 724, 874, 972, 323. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 724,874,972,323

Given numbers are 724,874,972,323

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

The LCM of 724,874,972,323 is 1306998828.

Find LCM of 724,874,972,323 with Prime Factorization


2 724, 874, 972, 323
2 362, 437, 486, 323
19 181, 437, 243, 323
181, 23, 243, 17

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

2 x 2 x 19 x 181 x 23 x 243 x 17 = 1306998828

Therefore, the lowest common multiple of 724,874,972,323 is 1306998828.

LCM Formula to Find Lowest Common Multiple of 724,874,972,323

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.

724 x 874 x 972 x 323 = 198663821856

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.

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

874 : 1, 2, 19, 23, 38, 46, 437, 874

972 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972

323 : 1, 17, 19, 323

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 724,874,972,323, is 1.

Now, the common factors can be found like this.

724:2x 2x 181

874:2x 19x 23

972:2x 2x 3x 3x 3x 3x 3

323:17x 19

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 2x 19 = 152

Therefore, the value for common factors is 152.

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 = 198663821856/(1x152)

LCM = 198663821856/152

LCM = 1306998828

Thus, we can understand that the LCM of 724,874,972,323 is 1306998828.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 724, 874, 972, 323

1. What is the LCM of 724, 874, 972, 323?

Answer: LCM of 724, 874, 972, 323 is 1306998828.

2. How to calculate the LCM of 724, 874, 972, 323?

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 724, 874, 972, 323.

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}.