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LCM of 148, 908, 418, 201

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


Find the LCM of 148, 908, 418, 201 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, 908, 418, 201. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 148,908,418,201

Given numbers are 148,908,418,201

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

The LCM of 148,908,418,201 is 1411334364.

Find LCM of 148,908,418,201 with Prime Factorization


2 148, 908, 418, 201
2 74, 454, 209, 201
37, 227, 209, 201

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

2 x 2 x 37 x 227 x 209 x 201 = 1411334364

Therefore, the lowest common multiple of 148,908,418,201 is 1411334364.

LCM Formula to Find Lowest Common Multiple of 148,908,418,201

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 908 x 418 x 201 = 11290674912

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

908 : 1, 2, 4, 227, 454, 908

418 : 1, 2, 11, 19, 22, 38, 209, 418

201 : 1, 3, 67, 201

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 148,908,418,201, is 1.

Now, the common factors can be found like this.

148:2x 2x 37

908:2x 2x 227

418:2x 11x 19

201:3x 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 2 = 8

Therefore, the value for common factors is 8.

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 = 11290674912/(1x8)

LCM = 11290674912/8

LCM = 1411334364

Thus, we can understand that the LCM of 148,908,418,201 is 1411334364.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 148, 908, 418, 201

1. What is the LCM of 148, 908, 418, 201?

Answer: LCM of 148, 908, 418, 201 is 1411334364.

2. How to calculate the LCM of 148, 908, 418, 201?

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, 908, 418, 201.

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}.