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LCM of 574, 989, 344, 668

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


Find the LCM of 574, 989, 344, 668 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, 989, 344, 668. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 574,989,344,668

Given numbers are 574,989,344,668

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

The LCM of 574,989,344,668 is 379214248.

Find LCM of 574,989,344,668 with Prime Factorization


2 574, 989, 344, 668
2 287, 989, 172, 334
43 287, 989, 86, 167
287, 23, 2, 167

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

2 x 2 x 43 x 287 x 23 x 2 x 167 = 379214248

Therefore, the lowest common multiple of 574,989,344,668 is 379214248.

LCM Formula to Find Lowest Common Multiple of 574,989,344,668

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 989 x 344 x 668 = 130449701312

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

989 : 1, 23, 43, 989

344 : 1, 2, 4, 8, 43, 86, 172, 344

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 574,989,344,668, is 1.

Now, the common factors can be found like this.

574:2x 7x 41

989:23x 43

344:2x 2x 2x 43

668:2x 2x 167

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 43 = 344

Therefore, the value for common factors is 344.

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 = 130449701312/(1x344)

LCM = 130449701312/344

LCM = 379214248

Thus, we can understand that the LCM of 574,989,344,668 is 379214248.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 574, 989, 344, 668

1. What is the LCM of 574, 989, 344, 668?

Answer: LCM of 574, 989, 344, 668 is 379214248.

2. How to calculate the LCM of 574, 989, 344, 668?

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, 989, 344, 668.

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}.