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LCM of 212, 923, 975, 371

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


Find the LCM of 212, 923, 975, 371 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 212, 923, 975, 371. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 212,923,975,371

Given numbers are 212,923,975,371

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

The LCM of 212,923,975,371 is 102729900.

Find LCM of 212,923,975,371 with Prime Factorization


13 212, 923, 975, 371
53 212, 71, 75, 371
4, 71, 75, 7

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

13 x 53 x 4 x 71 x 75 x 7 = 102729900

Therefore, the lowest common multiple of 212,923,975,371 is 102729900.

LCM Formula to Find Lowest Common Multiple of 212,923,975,371

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.

212 x 923 x 975 x 371 = 70780901100

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.

212 : 1, 2, 4, 53, 106, 212

923 : 1, 13, 71, 923

975 : 1, 3, 5, 13, 15, 25, 39, 65, 75, 195, 325, 975

371 : 1, 7, 53, 371

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 212,923,975,371, is 1.

Now, the common factors can be found like this.

212:2x 2x 53

923:13x 71

975:3x 5x 5x 13

371:7x 53

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

13x 53 = 689

Therefore, the value for common factors is 689.

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 = 70780901100/(1x689)

LCM = 70780901100/689

LCM = 102729900

Thus, we can understand that the LCM of 212,923,975,371 is 102729900.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 212, 923, 975, 371

1. What is the LCM of 212, 923, 975, 371?

Answer: LCM of 212, 923, 975, 371 is 102729900.

2. How to calculate the LCM of 212, 923, 975, 371?

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 212, 923, 975, 371.

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}.