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LCM of 938, 421, 126, 431, 664

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


Find the LCM of 938, 421, 126, 431, 664 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 938, 421, 126, 431, 664. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 938,421,126,431,664

Given numbers are 938,421,126,431,664

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

The LCM of 938,421,126,431,664 is 508560701544.

Find LCM of 938,421,126,431,664 with Prime Factorization


2 938, 421, 126, 431, 664
7 469, 421, 63, 431, 332
67, 421, 9, 431, 332

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

2 x 7 x 67 x 421 x 9 x 431 x 332 = 508560701544

Therefore, the lowest common multiple of 938,421,126,431,664 is 508560701544.

LCM Formula to Find Lowest Common Multiple of 938,421,126,431,664

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.

938 x 421 x 126 x 431 x 664 = 14239699643232

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.

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

421 : 1, 421

126 : 1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126

431 : 1, 431

664 : 1, 2, 4, 8, 83, 166, 332, 664

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 938,421,126,431,664, is 1.

Now, the common factors can be found like this.

938:2x 7x 67

421:421

126:2x 3x 3x 7

431:431

664:2x 2x 2x 83

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 7 = 28

Therefore, the value for common factors is 28.

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 = 14239699643232/(1x28)

LCM = 14239699643232/28

LCM = 508560701544

Thus, we can understand that the LCM of 938,421,126,431,664 is 508560701544.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 938, 421, 126, 431, 664

1. What is the LCM of 938, 421, 126, 431, 664?

Answer: LCM of 938, 421, 126, 431, 664 is 508560701544.

2. How to calculate the LCM of 938, 421, 126, 431, 664?

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 938, 421, 126, 431, 664.

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}.