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LCM of 574, 986, 373, 662

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


Find the LCM of 574, 986, 373, 662 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, 986, 373, 662. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 574,986,373,662

Given numbers are 574,986,373,662

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

The LCM of 574,986,373,662 is 34937806666.

Find LCM of 574,986,373,662 with Prime Factorization


2 574, 986, 373, 662
287, 493, 373, 331

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

2 x 287 x 493 x 373 x 331 = 34937806666

Therefore, the lowest common multiple of 574,986,373,662 is 34937806666.

LCM Formula to Find Lowest Common Multiple of 574,986,373,662

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 986 x 373 x 662 = 139751226664

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

986 : 1, 2, 17, 29, 34, 58, 493, 986

373 : 1, 373

662 : 1, 2, 331, 662

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 574,986,373,662, is 1.

Now, the common factors can be found like this.

574:2x 7x 41

986:2x 17x 29

373:373

662:2x 331

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 = 139751226664/(1x4)

LCM = 139751226664/4

LCM = 34937806666

Thus, we can understand that the LCM of 574,986,373,662 is 34937806666.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 574, 986, 373, 662

1. What is the LCM of 574, 986, 373, 662?

Answer: LCM of 574, 986, 373, 662 is 34937806666.

2. How to calculate the LCM of 574, 986, 373, 662?

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, 986, 373, 662.

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}.