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LCM of 148, 571, 201, 938

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


Find the LCM of 148, 571, 201, 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 148, 571, 201, 938. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 148,571,201,938

Given numbers are 148,571,201,938

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

The LCM of 148,571,201,938 is 118902756.

Find LCM of 148,571,201,938 with Prime Factorization


2 148, 571, 201, 938
67 74, 571, 201, 469
74, 571, 3, 7

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

2 x 67 x 74 x 571 x 3 x 7 = 118902756

Therefore, the lowest common multiple of 148,571,201,938 is 118902756.

LCM Formula to Find Lowest Common Multiple of 148,571,201,938

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.

148 x 571 x 201 x 938 = 15932969304

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.

148 : 1, 2, 4, 37, 74, 148

571 : 1, 571

201 : 1, 3, 67, 201

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 148,571,201,938, is 1.

Now, the common factors can be found like this.

148:2x 2x 37

571:571

201:3x 67

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 67 = 134

Therefore, the value for common factors is 134.

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 = 15932969304/(1x134)

LCM = 15932969304/134

LCM = 118902756

Thus, we can understand that the LCM of 148,571,201,938 is 118902756.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 148, 571, 201, 938

1. What is the LCM of 148, 571, 201, 938?

Answer: LCM of 148, 571, 201, 938 is 118902756.

2. How to calculate the LCM of 148, 571, 201, 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 148, 571, 201, 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}.