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LCM of 163, 118, 666, 814

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


Find the LCM of 163, 118, 666, 814 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 163, 118, 666, 814. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 163,118,666,814

Given numbers are 163,118,666,814

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

The LCM of 163,118,666,814 is 70454142.

Find LCM of 163,118,666,814 with Prime Factorization


2 163, 118, 666, 814
37 163, 59, 333, 407
163, 59, 9, 11

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

2 x 37 x 163 x 59 x 9 x 11 = 70454142

Therefore, the lowest common multiple of 163,118,666,814 is 70454142.

LCM Formula to Find Lowest Common Multiple of 163,118,666,814

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.

163 x 118 x 666 x 814 = 10427213016

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.

163 : 1, 163

118 : 1, 2, 59, 118

666 : 1, 2, 3, 6, 9, 18, 37, 74, 111, 222, 333, 666

814 : 1, 2, 11, 22, 37, 74, 407, 814

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 163,118,666,814, is 1.

Now, the common factors can be found like this.

163:163

118:2x 59

666:2x 3x 3x 37

814:2x 11x 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 37 = 148

Therefore, the value for common factors is 148.

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 = 10427213016/(1x148)

LCM = 10427213016/148

LCM = 70454142

Thus, we can understand that the LCM of 163,118,666,814 is 70454142.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 163, 118, 666, 814

1. What is the LCM of 163, 118, 666, 814?

Answer: LCM of 163, 118, 666, 814 is 70454142.

2. How to calculate the LCM of 163, 118, 666, 814?

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 163, 118, 666, 814.

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}.