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LCM of 212, 968, 353, 938, 536

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


Find the LCM of 212, 968, 353, 938, 536 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, 968, 353, 938, 536. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 212,968,353,938,536

Given numbers are 212,968,353,938,536

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

The LCM of 212,968,353,938,536 is 8493736328.

Find LCM of 212,968,353,938,536 with Prime Factorization


2 212, 968, 353, 938, 536
2 106, 484, 353, 469, 268
2 53, 242, 353, 469, 134
67 53, 121, 353, 469, 67
53, 121, 353, 7, 1

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

2 x 2 x 2 x 67 x 53 x 121 x 353 x 7 x 1 = 8493736328

Therefore, the lowest common multiple of 212,968,353,938,536 is 8493736328.

LCM Formula to Find Lowest Common Multiple of 212,968,353,938,536

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 968 x 353 x 938 x 536 = 36421141374464

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

968 : 1, 2, 4, 8, 11, 22, 44, 88, 121, 242, 484, 968

353 : 1, 353

938 : 1, 2, 7, 14, 67, 134, 469, 938

536 : 1, 2, 4, 8, 67, 134, 268, 536

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 212,968,353,938,536, is 1.

Now, the common factors can be found like this.

212:2x 2x 53

968:2x 2x 2x 11x 11

353:353

938:2x 7x 67

536:2x 2x 2x 67

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 2x 2x 2x 2x 67 = 4288

Therefore, the value for common factors is 4288.

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 = 36421141374464/(1x4288)

LCM = 36421141374464/4288

LCM = 8493736328

Thus, we can understand that the LCM of 212,968,353,938,536 is 8493736328.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 212, 968, 353, 938, 536

1. What is the LCM of 212, 968, 353, 938, 536?

Answer: LCM of 212, 968, 353, 938, 536 is 8493736328.

2. How to calculate the LCM of 212, 968, 353, 938, 536?

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, 968, 353, 938, 536.

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}.