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LCM of 533, 734, 754, 134

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


Find the LCM of 533, 734, 754, 134 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 533, 734, 754, 134. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 533,734,754,134

Given numbers are 533,734,754,134

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

The LCM of 533,734,754,134 is 760144346.

Find LCM of 533,734,754,134 with Prime Factorization


2 533, 734, 754, 134
13 533, 367, 377, 67
41, 367, 29, 67

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

2 x 13 x 41 x 367 x 29 x 67 = 760144346

Therefore, the lowest common multiple of 533,734,754,134 is 760144346.

LCM Formula to Find Lowest Common Multiple of 533,734,754,134

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.

533 x 734 x 754 x 134 = 39527505992

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.

533 : 1, 13, 41, 533

734 : 1, 2, 367, 734

754 : 1, 2, 13, 26, 29, 58, 377, 754

134 : 1, 2, 67, 134

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 533,734,754,134, is 1.

Now, the common factors can be found like this.

533:13x 41

734:2x 367

754:2x 13x 29

134:2x 67

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 13 = 52

Therefore, the value for common factors is 52.

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 = 39527505992/(1x52)

LCM = 39527505992/52

LCM = 760144346

Thus, we can understand that the LCM of 533,734,754,134 is 760144346.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 533, 734, 754, 134

1. What is the LCM of 533, 734, 754, 134?

Answer: LCM of 533, 734, 754, 134 is 760144346.

2. How to calculate the LCM of 533, 734, 754, 134?

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 533, 734, 754, 134.

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}.