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LCM of 955, 475, 285, 584

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


Find the LCM of 955, 475, 285, 584 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 955, 475, 285, 584. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 955,475,285,584

Given numbers are 955,475,285,584

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

The LCM of 955,475,285,584 is 158950200.

Find LCM of 955,475,285,584 with Prime Factorization


5 955, 475, 285, 584
19 191, 95, 57, 584
191, 5, 3, 584

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

5 x 19 x 191 x 5 x 3 x 584 = 158950200

Therefore, the lowest common multiple of 955,475,285,584 is 158950200.

LCM Formula to Find Lowest Common Multiple of 955,475,285,584

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.

955 x 475 x 285 x 584 = 75501345000

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.

955 : 1, 5, 191, 955

475 : 1, 5, 19, 25, 95, 475

285 : 1, 3, 5, 15, 19, 57, 95, 285

584 : 1, 2, 4, 8, 73, 146, 292, 584

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 955,475,285,584, is 1.

Now, the common factors can be found like this.

955:5x 191

475:5x 5x 19

285:3x 5x 19

584:2x 2x 2x 73

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

5x 5x 19 = 475

Therefore, the value for common factors is 475.

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 = 75501345000/(1x475)

LCM = 75501345000/475

LCM = 158950200

Thus, we can understand that the LCM of 955,475,285,584 is 158950200.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 955, 475, 285, 584

1. What is the LCM of 955, 475, 285, 584?

Answer: LCM of 955, 475, 285, 584 is 158950200.

2. How to calculate the LCM of 955, 475, 285, 584?

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 955, 475, 285, 584.

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}.