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LCM of 734, 431, 431, 120

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


Find the LCM of 734, 431, 431, 120 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 734, 431, 431, 120. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 734,431,431,120

Given numbers are 734,431,431,120

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

The LCM of 734,431,431,120 is 18981240.

Find LCM of 734,431,431,120 with Prime Factorization


2 734, 431, 431, 120
431 367, 431, 431, 60
367, 1, 1, 60

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

2 x 431 x 367 x 1 x 1 x 60 = 18981240

Therefore, the lowest common multiple of 734,431,431,120 is 18981240.

LCM Formula to Find Lowest Common Multiple of 734,431,431,120

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.

734 x 431 x 431 x 120 = 16361828880

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.

734 : 1, 2, 367, 734

431 : 1, 431

431 : 1, 431

120 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 734,431,431,120, is 1.

Now, the common factors can be found like this.

734:2x 367

431:431

431:431

120:2x 2x 2x 3x 5

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 431 = 862

Therefore, the value for common factors is 862.

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 = 16361828880/(1x862)

LCM = 16361828880/862

LCM = 18981240

Thus, we can understand that the LCM of 734,431,431,120 is 18981240.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 734, 431, 431, 120

1. What is the LCM of 734, 431, 431, 120?

Answer: LCM of 734, 431, 431, 120 is 18981240.

2. How to calculate the LCM of 734, 431, 431, 120?

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 734, 431, 431, 120.

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}.