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LCM of 592, 966, 210, 711

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


Find the LCM of 592, 966, 210, 711 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 592, 966, 210, 711. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 592,966,210,711

Given numbers are 592,966,210,711

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

The LCM of 592,966,210,711 is 338834160.

Find LCM of 592,966,210,711 with Prime Factorization


2 592, 966, 210, 711
3 296, 483, 105, 711
7 296, 161, 35, 237
296, 23, 5, 237

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

2 x 3 x 7 x 296 x 23 x 5 x 237 = 338834160

Therefore, the lowest common multiple of 592,966,210,711 is 338834160.

LCM Formula to Find Lowest Common Multiple of 592,966,210,711

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.

592 x 966 x 210 x 711 = 85386208320

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.

592 : 1, 2, 4, 8, 16, 37, 74, 148, 296, 592

966 : 1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 69, 138, 161, 322, 483, 966

210 : 1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210

711 : 1, 3, 9, 79, 237, 711

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 592,966,210,711, is 1.

Now, the common factors can be found like this.

592:2x 2x 2x 2x 37

966:2x 3x 7x 23

210:2x 3x 5x 7

711:3x 3x 79

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 3x 3x 7 = 252

Therefore, the value for common factors is 252.

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 = 85386208320/(1x252)

LCM = 85386208320/252

LCM = 338834160

Thus, we can understand that the LCM of 592,966,210,711 is 338834160.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 592, 966, 210, 711

1. What is the LCM of 592, 966, 210, 711?

Answer: LCM of 592, 966, 210, 711 is 338834160.

2. How to calculate the LCM of 592, 966, 210, 711?

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 592, 966, 210, 711.

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}.