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LCM of 484, 226, 506, 952, 874

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


Find the LCM of 484, 226, 506, 952, 874 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 484, 226, 506, 952, 874. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 484,226,506,952,874

Given numbers are 484,226,506,952,874

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

The LCM of 484,226,506,952,874 is 5688296152.

Find LCM of 484,226,506,952,874 with Prime Factorization


2 484, 226, 506, 952, 874
2 242, 113, 253, 476, 437
11 121, 113, 253, 238, 437
23 11, 113, 23, 238, 437
11, 113, 1, 238, 19

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

2 x 2 x 11 x 23 x 11 x 113 x 1 x 238 x 19 = 5688296152

Therefore, the lowest common multiple of 484,226,506,952,874 is 5688296152.

LCM Formula to Find Lowest Common Multiple of 484,226,506,952,874

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.

484 x 226 x 506 x 952 x 874 = 46052445646592

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.

484 : 1, 2, 4, 11, 22, 44, 121, 242, 484

226 : 1, 2, 113, 226

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

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

874 : 1, 2, 19, 23, 38, 46, 437, 874

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 484,226,506,952,874, is 2.

Now, the common factors can be found like this.

484:2x 2x 11x 11

226:2x 113

506:2x 11x 23

952:2x 2x 2x 7x 17

874:2x 19x 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 2x 11x 23 = 4048

Therefore, the value for common factors is 4048.

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 = 46052445646592/(2x4048)

LCM = 46052445646592/8096

LCM = 5688296152

Thus, we can understand that the LCM of 484,226,506,952,874 is 5688296152.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 484, 226, 506, 952, 874

1. What is the LCM of 484, 226, 506, 952, 874?

Answer: LCM of 484, 226, 506, 952, 874 is 5688296152.

2. How to calculate the LCM of 484, 226, 506, 952, 874?

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 484, 226, 506, 952, 874.

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}.