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LCM of 313, 546, 572, 561

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


Find the LCM of 313, 546, 572, 561 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 313, 546, 572, 561. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 313,546,572,561

Given numbers are 313,546,572,561

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

The LCM of 313,546,572,561 is 63915852.

Find LCM of 313,546,572,561 with Prime Factorization


2 313, 546, 572, 561
3 313, 273, 286, 561
11 313, 91, 286, 187
13 313, 91, 26, 17
313, 7, 2, 17

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

2 x 3 x 11 x 13 x 313 x 7 x 2 x 17 = 63915852

Therefore, the lowest common multiple of 313,546,572,561 is 63915852.

LCM Formula to Find Lowest Common Multiple of 313,546,572,561

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.

313 x 546 x 572 x 561 = 54839801016

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.

313 : 1, 313

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

572 : 1, 2, 4, 11, 13, 22, 26, 44, 52, 143, 286, 572

561 : 1, 3, 11, 17, 33, 51, 187, 561

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 313,546,572,561, is 1.

Now, the common factors can be found like this.

313:313

546:2x 3x 7x 13

572:2x 2x 11x 13

561:3x 11x 17

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

2x 3x 11x 13 = 858

Therefore, the value for common factors is 858.

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 = 54839801016/(1x858)

LCM = 54839801016/858

LCM = 63915852

Thus, we can understand that the LCM of 313,546,572,561 is 63915852.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 313, 546, 572, 561

1. What is the LCM of 313, 546, 572, 561?

Answer: LCM of 313, 546, 572, 561 is 63915852.

2. How to calculate the LCM of 313, 546, 572, 561?

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 313, 546, 572, 561.

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}.