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LCM of 955, 517, 543, 543, 584

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


Find the LCM of 955, 517, 543, 543, 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, 517, 543, 543, 584. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 955,517,543,543,584

Given numbers are 955,517,543,543,584

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

The LCM of 955,517,543,543,584 is 156569293320.

Find LCM of 955,517,543,543,584 with Prime Factorization


3 955, 517, 543, 543, 584
181 955, 517, 181, 181, 584
955, 517, 1, 1, 584

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

3 x 181 x 955 x 517 x 1 x 1 x 584 = 156569293320

Therefore, the lowest common multiple of 955,517,543,543,584 is 156569293320.

LCM Formula to Find Lowest Common Multiple of 955,517,543,543,584

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 517 x 543 x 543 x 584 = 85017126272760

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

517 : 1, 11, 47, 517

543 : 1, 3, 181, 543

543 : 1, 3, 181, 543

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 955,517,543,543,584, is 1.

Now, the common factors can be found like this.

955:5x 191

517:11x 47

543:3x 181

543:3x 181

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.

3x 181 = 543

Therefore, the value for common factors is 543.

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 = 85017126272760/(1x543)

LCM = 85017126272760/543

LCM = 156569293320

Thus, we can understand that the LCM of 955,517,543,543,584 is 156569293320.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 955, 517, 543, 543, 584

1. What is the LCM of 955, 517, 543, 543, 584?

Answer: LCM of 955, 517, 543, 543, 584 is 156569293320.

2. How to calculate the LCM of 955, 517, 543, 543, 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, 517, 543, 543, 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}.