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LCM of 986, 373, 466, 906

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


Find the LCM of 986, 373, 466, 906 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 986, 373, 466, 906. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 986,373,466,906

Given numbers are 986,373,466,906

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

The LCM of 986,373,466,906 is 38818600122.

Find LCM of 986,373,466,906 with Prime Factorization


2 986, 373, 466, 906
493, 373, 233, 453

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

2 x 493 x 373 x 233 x 453 = 38818600122

Therefore, the lowest common multiple of 986,373,466,906 is 38818600122.

LCM Formula to Find Lowest Common Multiple of 986,373,466,906

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.

986 x 373 x 466 x 906 = 155274400488

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.

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

373 : 1, 373

466 : 1, 2, 233, 466

906 : 1, 2, 3, 6, 151, 302, 453, 906

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 986,373,466,906, is 1.

Now, the common factors can be found like this.

986:2x 17x 29

373:373

466:2x 233

906:2x 3x 151

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 = 155274400488/(1x4)

LCM = 155274400488/4

LCM = 38818600122

Thus, we can understand that the LCM of 986,373,466,906 is 38818600122.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 986, 373, 466, 906

1. What is the LCM of 986, 373, 466, 906?

Answer: LCM of 986, 373, 466, 906 is 38818600122.

2. How to calculate the LCM of 986, 373, 466, 906?

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 986, 373, 466, 906.

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}.