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LCM of 906, 299, 598

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


Find the LCM of 906, 299, 598 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 906, 299, 598. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 906,299,598

Given numbers are 906,299,598

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

The LCM of 906,299,598 is 270894.

Find LCM of 906,299,598 with Prime Factorization


2 906, 299, 598
13 453, 299, 299
23 453, 23, 23
453, 1, 1

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

2 x 13 x 23 x 453 x 1 x 1 = 270894

Therefore, the lowest common multiple of 906,299,598 is 270894.

LCM Formula to Find Lowest Common Multiple of 906,299,598

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.

906 x 299 x 598 = 161994612

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.

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

299 : 1, 13, 23, 299

598 : 1, 2, 13, 23, 26, 46, 299, 598

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 906,299,598, is 1.

Now, the common factors can be found like this.

906:2x 3x 151

299:13x 23

598:2x 13x 23

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

2x 13x 23 = 598

Therefore, the value for common factors is 598.

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 = 161994612/(1x598)

LCM = 161994612/598

LCM = 270894

Thus, we can understand that the LCM of 906,299,598 is 270894.

LCM of two or more Numbers Calculation Examples

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FAQs on LCM of 906, 299, 598

1. What is the LCM of 906, 299, 598?

Answer: LCM of 906, 299, 598 is 270894.

2. How to calculate the LCM of 906, 299, 598?

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 906, 299, 598.

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}.