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LCM of 714, 194, 743, 743

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


Find the LCM of 714, 194, 743, 743 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 714, 194, 743, 743. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 714,194,743,743

Given numbers are 714,194,743,743

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

The LCM of 714,194,743,743 is 51458694.

Find LCM of 714,194,743,743 with Prime Factorization


2 714, 194, 743, 743
743 357, 97, 743, 743
357, 97, 1, 1

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

2 x 743 x 357 x 97 x 1 x 1 = 51458694

Therefore, the lowest common multiple of 714,194,743,743 is 51458694.

LCM Formula to Find Lowest Common Multiple of 714,194,743,743

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.

714 x 194 x 743 x 743 = 76467619284

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.

714 : 1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714

194 : 1, 2, 97, 194

743 : 1, 743

743 : 1, 743

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 714,194,743,743, is 1.

Now, the common factors can be found like this.

714:2x 3x 7x 17

194:2x 97

743:743

743:743

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

2x 743 = 1486

Therefore, the value for common factors is 1486.

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 = 76467619284/(1x1486)

LCM = 76467619284/1486

LCM = 51458694

Thus, we can understand that the LCM of 714,194,743,743 is 51458694.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 714, 194, 743, 743

1. What is the LCM of 714, 194, 743, 743?

Answer: LCM of 714, 194, 743, 743 is 51458694.

2. How to calculate the LCM of 714, 194, 743, 743?

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 714, 194, 743, 743.

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}.