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LCM of 742, 319, 308, 412

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


Find the LCM of 742, 319, 308, 412 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 742, 319, 308, 412. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 742,319,308,412

Given numbers are 742,319,308,412

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

The LCM of 742,319,308,412 is 48759788.

Find LCM of 742,319,308,412 with Prime Factorization


2 742, 319, 308, 412
2 371, 319, 154, 206
7 371, 319, 77, 103
11 53, 319, 11, 103
53, 29, 1, 103

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

2 x 2 x 7 x 11 x 53 x 29 x 1 x 103 = 48759788

Therefore, the lowest common multiple of 742,319,308,412 is 48759788.

LCM Formula to Find Lowest Common Multiple of 742,319,308,412

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.

742 x 319 x 308 x 412 = 30036029408

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.

742 : 1, 2, 7, 14, 53, 106, 371, 742

319 : 1, 11, 29, 319

308 : 1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308

412 : 1, 2, 4, 103, 206, 412

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 742,319,308,412, is 1.

Now, the common factors can be found like this.

742:2x 7x 53

319:11x 29

308:2x 2x 7x 11

412:2x 2x 103

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 11 = 616

Therefore, the value for common factors is 616.

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 = 30036029408/(1x616)

LCM = 30036029408/616

LCM = 48759788

Thus, we can understand that the LCM of 742,319,308,412 is 48759788.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 742, 319, 308, 412

1. What is the LCM of 742, 319, 308, 412?

Answer: LCM of 742, 319, 308, 412 is 48759788.

2. How to calculate the LCM of 742, 319, 308, 412?

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 742, 319, 308, 412.

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}.