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LCM of 769, 133, 732, 474

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


Find the LCM of 769, 133, 732, 474 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 769, 133, 732, 474. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 769,133,732,474

Given numbers are 769,133,732,474

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

The LCM of 769,133,732,474 is 5914474356.

Find LCM of 769,133,732,474 with Prime Factorization


2 769, 133, 732, 474
3 769, 133, 366, 237
769, 133, 122, 79

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

2 x 3 x 769 x 133 x 122 x 79 = 5914474356

Therefore, the lowest common multiple of 769,133,732,474 is 5914474356.

LCM Formula to Find Lowest Common Multiple of 769,133,732,474

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.

769 x 133 x 732 x 474 = 35486846136

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.

769 : 1, 769

133 : 1, 7, 19, 133

732 : 1, 2, 3, 4, 6, 12, 61, 122, 183, 244, 366, 732

474 : 1, 2, 3, 6, 79, 158, 237, 474

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 769,133,732,474, is 1.

Now, the common factors can be found like this.

769:769

133:7x 19

732:2x 2x 3x 61

474:2x 3x 79

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

2x 3 = 6

Therefore, the value for common factors is 6.

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 = 35486846136/(1x6)

LCM = 35486846136/6

LCM = 5914474356

Thus, we can understand that the LCM of 769,133,732,474 is 5914474356.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 769, 133, 732, 474

1. What is the LCM of 769, 133, 732, 474?

Answer: LCM of 769, 133, 732, 474 is 5914474356.

2. How to calculate the LCM of 769, 133, 732, 474?

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 769, 133, 732, 474.

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}.