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LCM of 742, 622, 106, 677

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


Find the LCM of 742, 622, 106, 677 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, 622, 106, 677. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 742,622,106,677

Given numbers are 742,622,106,677

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

The LCM of 742,622,106,677 is 156225874.

Find LCM of 742,622,106,677 with Prime Factorization


2 742, 622, 106, 677
53 371, 311, 53, 677
7, 311, 1, 677

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

2 x 53 x 7 x 311 x 1 x 677 = 156225874

Therefore, the lowest common multiple of 742,622,106,677 is 156225874.

LCM Formula to Find Lowest Common Multiple of 742,622,106,677

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 622 x 106 x 677 = 33119885288

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

622 : 1, 2, 311, 622

106 : 1, 2, 53, 106

677 : 1, 677

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 742,622,106,677, is 1.

Now, the common factors can be found like this.

742:2x 7x 53

622:2x 311

106:2x 53

677:677

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 53 = 212

Therefore, the value for common factors is 212.

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 = 33119885288/(1x212)

LCM = 33119885288/212

LCM = 156225874

Thus, we can understand that the LCM of 742,622,106,677 is 156225874.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 742, 622, 106, 677

1. What is the LCM of 742, 622, 106, 677?

Answer: LCM of 742, 622, 106, 677 is 156225874.

2. How to calculate the LCM of 742, 622, 106, 677?

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, 622, 106, 677.

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}.