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LCM of 742, 913, 166, 962

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


Find the LCM of 742, 913, 166, 962 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, 913, 166, 962. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 742,913,166,962

Given numbers are 742,913,166,962

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

The LCM of 742,913,166,962 is 325851526.

Find LCM of 742,913,166,962 with Prime Factorization


2 742, 913, 166, 962
83 371, 913, 83, 481
371, 11, 1, 481

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

2 x 83 x 371 x 11 x 1 x 481 = 325851526

Therefore, the lowest common multiple of 742,913,166,962 is 325851526.

LCM Formula to Find Lowest Common Multiple of 742,913,166,962

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 913 x 166 x 962 = 108182706632

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

913 : 1, 11, 83, 913

166 : 1, 2, 83, 166

962 : 1, 2, 13, 26, 37, 74, 481, 962

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 742,913,166,962, is 1.

Now, the common factors can be found like this.

742:2x 7x 53

913:11x 83

166:2x 83

962:2x 13x 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 83 = 332

Therefore, the value for common factors is 332.

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 = 108182706632/(1x332)

LCM = 108182706632/332

LCM = 325851526

Thus, we can understand that the LCM of 742,913,166,962 is 325851526.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 742, 913, 166, 962

1. What is the LCM of 742, 913, 166, 962?

Answer: LCM of 742, 913, 166, 962 is 325851526.

2. How to calculate the LCM of 742, 913, 166, 962?

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, 913, 166, 962.

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}.