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LCM of 742, 743, 147, 716

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


Find the LCM of 742, 743, 147, 716 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, 743, 147, 716. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 742,743,147,716

Given numbers are 742,743,147,716

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

The LCM of 742,743,147,716 is 4144718508.

Find LCM of 742,743,147,716 with Prime Factorization


2 742, 743, 147, 716
7 371, 743, 147, 358
53, 743, 21, 358

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

2 x 7 x 53 x 743 x 21 x 358 = 4144718508

Therefore, the lowest common multiple of 742,743,147,716 is 4144718508.

LCM Formula to Find Lowest Common Multiple of 742,743,147,716

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 743 x 147 x 716 = 58026059112

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

743 : 1, 743

147 : 1, 3, 7, 21, 49, 147

716 : 1, 2, 4, 179, 358, 716

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 742,743,147,716, is 1.

Now, the common factors can be found like this.

742:2x 7x 53

743:743

147:3x 7x 7

716:2x 2x 179

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

2x 7 = 14

Therefore, the value for common factors is 14.

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 = 58026059112/(1x14)

LCM = 58026059112/14

LCM = 4144718508

Thus, we can understand that the LCM of 742,743,147,716 is 4144718508.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 742, 743, 147, 716

1. What is the LCM of 742, 743, 147, 716?

Answer: LCM of 742, 743, 147, 716 is 4144718508.

2. How to calculate the LCM of 742, 743, 147, 716?

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, 743, 147, 716.

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}.