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LCM of 742, 682, 968, 768

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


Find the LCM of 742, 682, 968, 768 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, 682, 968, 768. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 742,682,968,768

Given numbers are 742,682,968,768

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

The LCM of 742,682,968,768 is 1068764928.

Find LCM of 742,682,968,768 with Prime Factorization


2 742, 682, 968, 768
2 371, 341, 484, 384
2 371, 341, 242, 192
11 371, 341, 121, 96
371, 31, 11, 96

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

2 x 2 x 2 x 11 x 371 x 31 x 11 x 96 = 1068764928

Therefore, the lowest common multiple of 742,682,968,768 is 1068764928.

LCM Formula to Find Lowest Common Multiple of 742,682,968,768

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 682 x 968 x 768 = 376205254656

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

682 : 1, 2, 11, 22, 31, 62, 341, 682

968 : 1, 2, 4, 8, 11, 22, 44, 88, 121, 242, 484, 968

768 : 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 256, 384, 768

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 742,682,968,768, is 2.

Now, the common factors can be found like this.

742:2x 7x 53

682:2x 11x 31

968:2x 2x 2x 11x 11

768:2x 2x 2x 2x 2x 2x 2x 2x 3

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 2x 11 = 176

Therefore, the value for common factors is 176.

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 = 376205254656/(2x176)

LCM = 376205254656/352

LCM = 1068764928

Thus, we can understand that the LCM of 742,682,968,768 is 1068764928.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 742, 682, 968, 768

1. What is the LCM of 742, 682, 968, 768?

Answer: LCM of 742, 682, 968, 768 is 1068764928.

2. How to calculate the LCM of 742, 682, 968, 768?

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, 682, 968, 768.

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}.