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LCM of 93, 86, 86, 946

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


Find the LCM of 93, 86, 86, 946 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 93, 86, 86, 946. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 93,86,86,946

Given numbers are 93,86,86,946

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

The LCM of 93,86,86,946 is 87978.

Find LCM of 93,86,86,946 with Prime Factorization


2 93, 86, 86, 946
43 93, 43, 43, 473
93, 1, 1, 11

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

2 x 43 x 93 x 1 x 1 x 11 = 87978

Therefore, the lowest common multiple of 93,86,86,946 is 87978.

LCM Formula to Find Lowest Common Multiple of 93,86,86,946

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.

93 x 86 x 86 x 946 = 650685288

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.

93 : 1, 3, 31, 93

86 : 1, 2, 43, 86

86 : 1, 2, 43, 86

946 : 1, 2, 11, 22, 43, 86, 473, 946

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 93,86,86,946, is 1.

Now, the common factors can be found like this.

93:3x 31

86:2x 43

86:2x 43

946:2x 11x 43

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 43x 43 = 7396

Therefore, the value for common factors is 7396.

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 = 650685288/(1x7396)

LCM = 650685288/7396

LCM = 87978

Thus, we can understand that the LCM of 93,86,86,946 is 87978.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 93, 86, 86, 946

1. What is the LCM of 93, 86, 86, 946?

Answer: LCM of 93, 86, 86, 946 is 87978.

2. How to calculate the LCM of 93, 86, 86, 946?

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 93, 86, 86, 946.

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}.