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LCM of 212, 177, 971, 823, 971

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


Find the LCM of 212, 177, 971, 823, 971 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, 177, 971, 823, 971. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 212,177,971,823,971

Given numbers are 212,177,971,823,971

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

The LCM of 212,177,971,823,971 is 29986666692.

Find LCM of 212,177,971,823,971 with Prime Factorization


971 212, 177, 971, 823, 971
212, 177, 1, 823, 1

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

971 x 212 x 177 x 1 x 823 x 1 = 29986666692

Therefore, the lowest common multiple of 212,177,971,823,971 is 29986666692.

LCM Formula to Find Lowest Common Multiple of 212,177,971,823,971

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 177 x 971 x 823 x 971 = 29117053357932

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

177 : 1, 3, 59, 177

971 : 1, 971

823 : 1, 823

971 : 1, 971

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 212,177,971,823,971, is 1.

Now, the common factors can be found like this.

212:2x 2x 53

177:3x 59

971:971

823:823

971:971

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

971 = 971

Therefore, the value for common factors is 971.

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 = 29117053357932/(1x971)

LCM = 29117053357932/971

LCM = 29986666692

Thus, we can understand that the LCM of 212,177,971,823,971 is 29986666692.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 212, 177, 971, 823, 971

1. What is the LCM of 212, 177, 971, 823, 971?

Answer: LCM of 212, 177, 971, 823, 971 is 29986666692.

2. How to calculate the LCM of 212, 177, 971, 823, 971?

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, 177, 971, 823, 971.

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}.