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LCM of 298, 958, 890, 167

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


Find the LCM of 298, 958, 890, 167 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 298, 958, 890, 167. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 298,958,890,167

Given numbers are 298,958,890,167

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

The LCM of 298,958,890,167 is 10607871730.

Find LCM of 298,958,890,167 with Prime Factorization


2 298, 958, 890, 167
149, 479, 445, 167

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

2 x 149 x 479 x 445 x 167 = 10607871730

Therefore, the lowest common multiple of 298,958,890,167 is 10607871730.

LCM Formula to Find Lowest Common Multiple of 298,958,890,167

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.

298 x 958 x 890 x 167 = 42431486920

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.

298 : 1, 2, 149, 298

958 : 1, 2, 479, 958

890 : 1, 2, 5, 10, 89, 178, 445, 890

167 : 1, 167

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 298,958,890,167, is 1.

Now, the common factors can be found like this.

298:2x 149

958:2x 479

890:2x 5x 89

167:167

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

2x 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 = 42431486920/(1x4)

LCM = 42431486920/4

LCM = 10607871730

Thus, we can understand that the LCM of 298,958,890,167 is 10607871730.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 298, 958, 890, 167

1. What is the LCM of 298, 958, 890, 167?

Answer: LCM of 298, 958, 890, 167 is 10607871730.

2. How to calculate the LCM of 298, 958, 890, 167?

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 298, 958, 890, 167.

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}.