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LCM of 906, 578, 302

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


Find the LCM of 906, 578, 302 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, 578, 302. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 906,578,302

Given numbers are 906,578,302

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

The LCM of 906,578,302 is 261834.

Find LCM of 906,578,302 with Prime Factorization


2 906, 578, 302
151 453, 289, 151
3, 289, 1

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

2 x 151 x 3 x 289 x 1 = 261834

Therefore, the lowest common multiple of 906,578,302 is 261834.

LCM Formula to Find Lowest Common Multiple of 906,578,302

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 578 x 302 = 158147736

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

578 : 1, 2, 17, 34, 289, 578

302 : 1, 2, 151, 302

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 906,578,302, is 2.

Now, the common factors can be found like this.

906:2x 3x 151

578:2x 17x 17

302:2x 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 151 = 302

Therefore, the value for common factors is 302.

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 = 158147736/(2x302)

LCM = 158147736/604

LCM = 261834

Thus, we can understand that the LCM of 906,578,302 is 261834.

LCM of two or more Numbers Calculation Examples

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FAQs on LCM of 906, 578, 302

1. What is the LCM of 906, 578, 302?

Answer: LCM of 906, 578, 302 is 261834.

2. How to calculate the LCM of 906, 578, 302?

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, 578, 302.

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}.