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LCM of 796, 296, 552, 148, 952

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


Find the LCM of 796, 296, 552, 148, 952 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 796, 296, 552, 148, 952. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 796,296,552,148,952

Given numbers are 796,296,552,148,952

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

The LCM of 796,296,552,148,952 is 483660744.

Find LCM of 796,296,552,148,952 with Prime Factorization


2 796, 296, 552, 148, 952
2 398, 148, 276, 74, 476
2 199, 37, 138, 74, 238
37 199, 37, 69, 37, 119
199, 1, 69, 1, 119

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

2 x 2 x 2 x 37 x 199 x 1 x 69 x 1 x 119 = 483660744

Therefore, the lowest common multiple of 796,296,552,148,952 is 483660744.

LCM Formula to Find Lowest Common Multiple of 796,296,552,148,952

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.

796 x 296 x 552 x 148 x 952 = 18324938268672

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.

796 : 1, 2, 4, 199, 398, 796

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

552 : 1, 2, 3, 4, 6, 8, 12, 23, 24, 46, 69, 92, 138, 184, 276, 552

148 : 1, 2, 4, 37, 74, 148

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

4 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 796,296,552,148,952, is 4.

Now, the common factors can be found like this.

796:2x 2x 199

296:2x 2x 2x 37

552:2x 2x 2x 3x 23

148:2x 2x 37

952:2x 2x 2x 7x 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 2x 2x 2x 2x 37 = 9472

Therefore, the value for common factors is 9472.

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 = 18324938268672/(4x9472)

LCM = 18324938268672/37888

LCM = 483660744

Thus, we can understand that the LCM of 796,296,552,148,952 is 483660744.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 796, 296, 552, 148, 952

1. What is the LCM of 796, 296, 552, 148, 952?

Answer: LCM of 796, 296, 552, 148, 952 is 483660744.

2. How to calculate the LCM of 796, 296, 552, 148, 952?

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 796, 296, 552, 148, 952.

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}.