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LCM of 216, 938, 268, 203

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


Find the LCM of 216, 938, 268, 203 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 216, 938, 268, 203. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 216,938,268,203

Given numbers are 216,938,268,203

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

The LCM of 216,938,268,203 is 2937816.

Find LCM of 216,938,268,203 with Prime Factorization


2 216, 938, 268, 203
2 108, 469, 134, 203
7 54, 469, 67, 203
67 54, 67, 67, 29
54, 1, 1, 29

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

2 x 2 x 7 x 67 x 54 x 1 x 1 x 29 = 2937816

Therefore, the lowest common multiple of 216,938,268,203 is 2937816.

LCM Formula to Find Lowest Common Multiple of 216,938,268,203

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.

216 x 938 x 268 x 203 = 11022685632

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.

216 : 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216

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

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

203 : 1, 7, 29, 203

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 216,938,268,203, is 1.

Now, the common factors can be found like this.

216:2x 2x 2x 3x 3x 3

938:2x 7x 67

268:2x 2x 67

203:7x 29

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 7x 67 = 3752

Therefore, the value for common factors is 3752.

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 = 11022685632/(1x3752)

LCM = 11022685632/3752

LCM = 2937816

Thus, we can understand that the LCM of 216,938,268,203 is 2937816.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 216, 938, 268, 203

1. What is the LCM of 216, 938, 268, 203?

Answer: LCM of 216, 938, 268, 203 is 2937816.

2. How to calculate the LCM of 216, 938, 268, 203?

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 216, 938, 268, 203.

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}.