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LCM of 734, 338, 562, 694, 740

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


Find the LCM of 734, 338, 562, 694, 740 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, 338, 562, 694, 740. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 734,338,562,694,740

Given numbers are 734,338,562,694,740

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

The LCM of 734,338,562,694,740 is 4475280729140.

Find LCM of 734,338,562,694,740 with Prime Factorization


2 734, 338, 562, 694, 740
367, 169, 281, 347, 370

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

2 x 367 x 169 x 281 x 347 x 370 = 4475280729140

Therefore, the lowest common multiple of 734,338,562,694,740 is 4475280729140.

LCM Formula to Find Lowest Common Multiple of 734,338,562,694,740

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 338 x 562 x 694 x 740 = 71604491666240

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

338 : 1, 2, 13, 26, 169, 338

562 : 1, 2, 281, 562

694 : 1, 2, 347, 694

740 : 1, 2, 4, 5, 10, 20, 37, 74, 148, 185, 370, 740

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 734,338,562,694,740, is 2.

Now, the common factors can be found like this.

734:2x 367

338:2x 13x 13

562:2x 281

694:2x 347

740:2x 2x 5x 37

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 2 = 8

Therefore, the value for common factors is 8.

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 = 71604491666240/(2x8)

LCM = 71604491666240/16

LCM = 4475280729140

Thus, we can understand that the LCM of 734,338,562,694,740 is 4475280729140.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 734, 338, 562, 694, 740

1. What is the LCM of 734, 338, 562, 694, 740?

Answer: LCM of 734, 338, 562, 694, 740 is 4475280729140.

2. How to calculate the LCM of 734, 338, 562, 694, 740?

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, 338, 562, 694, 740.

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}.