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LCM of 142, 209, 531, 938

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


Find the LCM of 142, 209, 531, 938 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 142, 209, 531, 938. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 142,209,531,938

Given numbers are 142,209,531,938

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

The LCM of 142,209,531,938 is 7390979442.

Find LCM of 142,209,531,938 with Prime Factorization


2 142, 209, 531, 938
71, 209, 531, 469

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

2 x 71 x 209 x 531 x 469 = 7390979442

Therefore, the lowest common multiple of 142,209,531,938 is 7390979442.

LCM Formula to Find Lowest Common Multiple of 142,209,531,938

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.

142 x 209 x 531 x 938 = 14781958884

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.

142 : 1, 2, 71, 142

209 : 1, 11, 19, 209

531 : 1, 3, 9, 59, 177, 531

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 142,209,531,938, is 1.

Now, the common factors can be found like this.

142:2x 71

209:11x 19

531:3x 3x 59

938:2x 7x 67

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

2 = 2

Therefore, the value for common factors is 2.

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 = 14781958884/(1x2)

LCM = 14781958884/2

LCM = 7390979442

Thus, we can understand that the LCM of 142,209,531,938 is 7390979442.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 142, 209, 531, 938

1. What is the LCM of 142, 209, 531, 938?

Answer: LCM of 142, 209, 531, 938 is 7390979442.

2. How to calculate the LCM of 142, 209, 531, 938?

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 142, 209, 531, 938.

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}.