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LCM of 500, 795, 310, 124, 277

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


Find the LCM of 500, 795, 310, 124, 277 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 500, 795, 310, 124, 277. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 500,795,310,124,277

Given numbers are 500,795,310,124,277

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

The LCM of 500,795,310,124,277 is 682666500.

Find LCM of 500,795,310,124,277 with Prime Factorization


2 500, 795, 310, 124, 277
2 250, 795, 155, 62, 277
5 125, 795, 155, 31, 277
31 25, 159, 31, 31, 277
25, 159, 1, 1, 277

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

2 x 2 x 5 x 31 x 25 x 159 x 1 x 1 x 277 = 682666500

Therefore, the lowest common multiple of 500,795,310,124,277 is 682666500.

LCM Formula to Find Lowest Common Multiple of 500,795,310,124,277

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.

500 x 795 x 310 x 124 x 277 = 4232532300000

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.

500 : 1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 250, 500

795 : 1, 3, 5, 15, 53, 159, 265, 795

310 : 1, 2, 5, 10, 31, 62, 155, 310

124 : 1, 2, 4, 31, 62, 124

277 : 1, 277

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 500,795,310,124,277, is 1.

Now, the common factors can be found like this.

500:2x 2x 5x 5x 5

795:3x 5x 53

310:2x 5x 31

124:2x 2x 31

277:277

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

2x 2x 2x 5x 5x 31 = 6200

Therefore, the value for common factors is 6200.

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 = 4232532300000/(1x6200)

LCM = 4232532300000/6200

LCM = 682666500

Thus, we can understand that the LCM of 500,795,310,124,277 is 682666500.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 500, 795, 310, 124, 277

1. What is the LCM of 500, 795, 310, 124, 277?

Answer: LCM of 500, 795, 310, 124, 277 is 682666500.

2. How to calculate the LCM of 500, 795, 310, 124, 277?

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 500, 795, 310, 124, 277.

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}.