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LCM of 55, 74, 74, 794

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


Find the LCM of 55, 74, 74, 794 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 55, 74, 74, 794. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 55,74,74,794

Given numbers are 55,74,74,794

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

The LCM of 55,74,74,794 is 1615790.

Find LCM of 55,74,74,794 with Prime Factorization


2 55, 74, 74, 794
37 55, 37, 37, 397
55, 1, 1, 397

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

2 x 37 x 55 x 1 x 1 x 397 = 1615790

Therefore, the lowest common multiple of 55,74,74,794 is 1615790.

LCM Formula to Find Lowest Common Multiple of 55,74,74,794

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.

55 x 74 x 74 x 794 = 239136920

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.

55 : 1, 5, 11, 55

74 : 1, 2, 37, 74

74 : 1, 2, 37, 74

794 : 1, 2, 397, 794

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 55,74,74,794, is 1.

Now, the common factors can be found like this.

55:5x 11

74:2x 37

74:2x 37

794:2x 397

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 37 = 148

Therefore, the value for common factors is 148.

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 = 239136920/(1x148)

LCM = 239136920/148

LCM = 1615790

Thus, we can understand that the LCM of 55,74,74,794 is 1615790.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 55, 74, 74, 794

1. What is the LCM of 55, 74, 74, 794?

Answer: LCM of 55, 74, 74, 794 is 1615790.

2. How to calculate the LCM of 55, 74, 74, 794?

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 55, 74, 74, 794.

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}.