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LCM of 792, 874, 644, 301

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


Find the LCM of 792, 874, 644, 301 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 792, 874, 644, 301. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 792,874,644,301

Given numbers are 792,874,644,301

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

The LCM of 792,874,644,301 is 104177304.

Find LCM of 792,874,644,301 with Prime Factorization


2 792, 874, 644, 301
2 396, 437, 322, 301
7 198, 437, 161, 301
23 198, 437, 23, 43
198, 19, 1, 43

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

2 x 2 x 7 x 23 x 198 x 19 x 1 x 43 = 104177304

Therefore, the lowest common multiple of 792,874,644,301 is 104177304.

LCM Formula to Find Lowest Common Multiple of 792,874,644,301

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.

792 x 874 x 644 x 301 = 134180367552

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.

792 : 1, 2, 3, 4, 6, 8, 9, 11, 12, 18, 22, 24, 33, 36, 44, 66, 72, 88, 99, 132, 198, 264, 396, 792

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

644 : 1, 2, 4, 7, 14, 23, 28, 46, 92, 161, 322, 644

301 : 1, 7, 43, 301

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 792,874,644,301, is 1.

Now, the common factors can be found like this.

792:2x 2x 2x 3x 3x 11

874:2x 19x 23

644:2x 2x 7x 23

301:7x 43

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 7x 23 = 1288

Therefore, the value for common factors is 1288.

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 = 134180367552/(1x1288)

LCM = 134180367552/1288

LCM = 104177304

Thus, we can understand that the LCM of 792,874,644,301 is 104177304.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 792, 874, 644, 301

1. What is the LCM of 792, 874, 644, 301?

Answer: LCM of 792, 874, 644, 301 is 104177304.

2. How to calculate the LCM of 792, 874, 644, 301?

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 792, 874, 644, 301.

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}.