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LCM of 575, 416, 668, 912

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


Find the LCM of 575, 416, 668, 912 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 575, 416, 668, 912. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 575,416,668,912

Given numbers are 575,416,668,912

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

The LCM of 575,416,668,912 is 2276944800.

Find LCM of 575,416,668,912 with Prime Factorization


2 575, 416, 668, 912
2 575, 208, 334, 456
2 575, 104, 167, 228
2 575, 52, 167, 114
575, 26, 167, 57

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

2 x 2 x 2 x 2 x 575 x 26 x 167 x 57 = 2276944800

Therefore, the lowest common multiple of 575,416,668,912 is 2276944800.

LCM Formula to Find Lowest Common Multiple of 575,416,668,912

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.

575 x 416 x 668 x 912 = 145724467200

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.

575 : 1, 5, 23, 25, 115, 575

416 : 1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 208, 416

668 : 1, 2, 4, 167, 334, 668

912 : 1, 2, 3, 4, 6, 8, 12, 16, 19, 24, 38, 48, 57, 76, 114, 152, 228, 304, 456, 912

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 575,416,668,912, is 1.

Now, the common factors can be found like this.

575:5x 5x 23

416:2x 2x 2x 2x 2x 13

668:2x 2x 167

912:2x 2x 2x 2x 3x 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 2x 2x 2 = 64

Therefore, the value for common factors is 64.

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 = 145724467200/(1x64)

LCM = 145724467200/64

LCM = 2276944800

Thus, we can understand that the LCM of 575,416,668,912 is 2276944800.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 575, 416, 668, 912

1. What is the LCM of 575, 416, 668, 912?

Answer: LCM of 575, 416, 668, 912 is 2276944800.

2. How to calculate the LCM of 575, 416, 668, 912?

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 575, 416, 668, 912.

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}.