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LCM of 326, 478, 201, 780, 938

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


Find the LCM of 326, 478, 201, 780, 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 326, 478, 201, 780, 938. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 326,478,201,780,938

Given numbers are 326,478,201,780,938

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

The LCM of 326,478,201,780,938 is 14251249740.

Find LCM of 326,478,201,780,938 with Prime Factorization


2 326, 478, 201, 780, 938
3 163, 239, 201, 390, 469
67 163, 239, 67, 130, 469
163, 239, 1, 130, 7

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

2 x 3 x 67 x 163 x 239 x 1 x 130 x 7 = 14251249740

Therefore, the lowest common multiple of 326,478,201,780,938 is 14251249740.

LCM Formula to Find Lowest Common Multiple of 326,478,201,780,938

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.

326 x 478 x 201 x 780 x 938 = 22916009581920

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.

326 : 1, 2, 163, 326

478 : 1, 2, 239, 478

201 : 1, 3, 67, 201

780 : 1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780

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 326,478,201,780,938, is 1.

Now, the common factors can be found like this.

326:2x 163

478:2x 239

201:3x 67

780:2x 2x 3x 5x 13

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.

2x 2x 2x 3x 67 = 1608

Therefore, the value for common factors is 1608.

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 = 22916009581920/(1x1608)

LCM = 22916009581920/1608

LCM = 14251249740

Thus, we can understand that the LCM of 326,478,201,780,938 is 14251249740.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 326, 478, 201, 780, 938

1. What is the LCM of 326, 478, 201, 780, 938?

Answer: LCM of 326, 478, 201, 780, 938 is 14251249740.

2. How to calculate the LCM of 326, 478, 201, 780, 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 326, 478, 201, 780, 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}.