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LCM of 820, 700, 309, 506

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


Find the LCM of 820, 700, 309, 506 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 820, 700, 309, 506. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 820,700,309,506

Given numbers are 820,700,309,506

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

The LCM of 820,700,309,506 is 2243679900.

Find LCM of 820,700,309,506 with Prime Factorization


2 820, 700, 309, 506
2 410, 350, 309, 253
5 205, 175, 309, 253
41, 35, 309, 253

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

2 x 2 x 5 x 41 x 35 x 309 x 253 = 2243679900

Therefore, the lowest common multiple of 820,700,309,506 is 2243679900.

LCM Formula to Find Lowest Common Multiple of 820,700,309,506

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.

820 x 700 x 309 x 506 = 89747196000

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.

820 : 1, 2, 4, 5, 10, 20, 41, 82, 164, 205, 410, 820

700 : 1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 50, 70, 100, 140, 175, 350, 700

309 : 1, 3, 103, 309

506 : 1, 2, 11, 22, 23, 46, 253, 506

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 820,700,309,506, is 1.

Now, the common factors can be found like this.

820:2x 2x 5x 41

700:2x 2x 5x 5x 7

309:3x 103

506:2x 11x 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 2x 2x 5 = 40

Therefore, the value for common factors is 40.

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 = 89747196000/(1x40)

LCM = 89747196000/40

LCM = 2243679900

Thus, we can understand that the LCM of 820,700,309,506 is 2243679900.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 820, 700, 309, 506

1. What is the LCM of 820, 700, 309, 506?

Answer: LCM of 820, 700, 309, 506 is 2243679900.

2. How to calculate the LCM of 820, 700, 309, 506?

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 820, 700, 309, 506.

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}.