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LCM of 266, 952, 256, 510

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


Find the LCM of 266, 952, 256, 510 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 266, 952, 256, 510. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 266,952,256,510

Given numbers are 266,952,256,510

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

The LCM of 266,952,256,510 is 8682240.

Find LCM of 266,952,256,510 with Prime Factorization


2 266, 952, 256, 510
2 133, 476, 128, 255
2 133, 238, 64, 255
7 133, 119, 32, 255
17 19, 17, 32, 255
19, 1, 32, 15

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

2 x 2 x 2 x 7 x 17 x 19 x 1 x 32 x 15 = 8682240

Therefore, the lowest common multiple of 266,952,256,510 is 8682240.

LCM Formula to Find Lowest Common Multiple of 266,952,256,510

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.

266 x 952 x 256 x 510 = 33061969920

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.

266 : 1, 2, 7, 14, 19, 38, 133, 266

952 : 1, 2, 4, 7, 8, 14, 17, 28, 34, 56, 68, 119, 136, 238, 476, 952

256 : 1, 2, 4, 8, 16, 32, 64, 128, 256

510 : 1, 2, 3, 5, 6, 10, 15, 17, 30, 34, 51, 85, 102, 170, 255, 510

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 266,952,256,510, is 2.

Now, the common factors can be found like this.

266:2x 7x 19

952:2x 2x 2x 7x 17

256:2x 2x 2x 2x 2x 2x 2x 2

510:2x 3x 5x 17

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 2x 7x 17 = 1904

Therefore, the value for common factors is 1904.

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 = 33061969920/(2x1904)

LCM = 33061969920/3808

LCM = 8682240

Thus, we can understand that the LCM of 266,952,256,510 is 8682240.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 266, 952, 256, 510

1. What is the LCM of 266, 952, 256, 510?

Answer: LCM of 266, 952, 256, 510 is 8682240.

2. How to calculate the LCM of 266, 952, 256, 510?

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 266, 952, 256, 510.

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}.