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LCM of 421, 374, 404, 548, 237

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


Find the LCM of 421, 374, 404, 548, 237 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 421, 374, 404, 548, 237. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 421,374,404,548,237

Given numbers are 421,374,404,548,237

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

The LCM of 421,374,404,548,237 is 1032699533052.

Find LCM of 421,374,404,548,237 with Prime Factorization


2 421, 374, 404, 548, 237
2 421, 187, 202, 274, 237
421, 187, 101, 137, 237

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

2 x 2 x 421 x 187 x 101 x 137 x 237 = 1032699533052

Therefore, the lowest common multiple of 421,374,404,548,237 is 1032699533052.

LCM Formula to Find Lowest Common Multiple of 421,374,404,548,237

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.

421 x 374 x 404 x 548 x 237 = 8261596264416

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.

421 : 1, 421

374 : 1, 2, 11, 17, 22, 34, 187, 374

404 : 1, 2, 4, 101, 202, 404

548 : 1, 2, 4, 137, 274, 548

237 : 1, 3, 79, 237

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 421,374,404,548,237, is 1.

Now, the common factors can be found like this.

421:421

374:2x 11x 17

404:2x 2x 101

548:2x 2x 137

237:3x 79

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 = 8261596264416/(1x8)

LCM = 8261596264416/8

LCM = 1032699533052

Thus, we can understand that the LCM of 421,374,404,548,237 is 1032699533052.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 421, 374, 404, 548, 237

1. What is the LCM of 421, 374, 404, 548, 237?

Answer: LCM of 421, 374, 404, 548, 237 is 1032699533052.

2. How to calculate the LCM of 421, 374, 404, 548, 237?

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 421, 374, 404, 548, 237.

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}.