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LCM of 574, 546, 869, 390

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


Find the LCM of 574, 546, 869, 390 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 574, 546, 869, 390. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 574,546,869,390

Given numbers are 574,546,869,390

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

The LCM of 574,546,869,390 is 97267170.

Find LCM of 574,546,869,390 with Prime Factorization


2 574, 546, 869, 390
3 287, 273, 869, 195
7 287, 91, 869, 65
13 41, 13, 869, 65
41, 1, 869, 5

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

2 x 3 x 7 x 13 x 41 x 1 x 869 x 5 = 97267170

Therefore, the lowest common multiple of 574,546,869,390 is 97267170.

LCM Formula to Find Lowest Common Multiple of 574,546,869,390

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.

574 x 546 x 869 x 390 = 106215749640

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.

574 : 1, 2, 7, 14, 41, 82, 287, 574

546 : 1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 182, 273, 546

869 : 1, 11, 79, 869

390 : 1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 574,546,869,390, is 1.

Now, the common factors can be found like this.

574:2x 7x 41

546:2x 3x 7x 13

869:11x 79

390:2x 3x 5x 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 3x 7x 13 = 1092

Therefore, the value for common factors is 1092.

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 = 106215749640/(1x1092)

LCM = 106215749640/1092

LCM = 97267170

Thus, we can understand that the LCM of 574,546,869,390 is 97267170.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 574, 546, 869, 390

1. What is the LCM of 574, 546, 869, 390?

Answer: LCM of 574, 546, 869, 390 is 97267170.

2. How to calculate the LCM of 574, 546, 869, 390?

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 574, 546, 869, 390.

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}.