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LCM of 604, 874, 629, 974

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


Find the LCM of 604, 874, 629, 974 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 604, 874, 629, 974. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 604,874,629,974

Given numbers are 604,874,629,974

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

The LCM of 604,874,629,974 is 80853343204.

Find LCM of 604,874,629,974 with Prime Factorization


2 604, 874, 629, 974
302, 437, 629, 487

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

2 x 302 x 437 x 629 x 487 = 80853343204

Therefore, the lowest common multiple of 604,874,629,974 is 80853343204.

LCM Formula to Find Lowest Common Multiple of 604,874,629,974

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.

604 x 874 x 629 x 974 = 323413372816

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.

604 : 1, 2, 4, 151, 302, 604

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

629 : 1, 17, 37, 629

974 : 1, 2, 487, 974

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 604,874,629,974, is 1.

Now, the common factors can be found like this.

604:2x 2x 151

874:2x 19x 23

629:17x 37

974:2x 487

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

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 323413372816/(1x4)

LCM = 323413372816/4

LCM = 80853343204

Thus, we can understand that the LCM of 604,874,629,974 is 80853343204.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 604, 874, 629, 974

1. What is the LCM of 604, 874, 629, 974?

Answer: LCM of 604, 874, 629, 974 is 80853343204.

2. How to calculate the LCM of 604, 874, 629, 974?

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 604, 874, 629, 974.

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}.