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LCM of 214, 387, 253, 977, 290

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


Find the LCM of 214, 387, 253, 977, 290 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 214, 387, 253, 977, 290. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 214,387,253,977,290

Given numbers are 214,387,253,977,290

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

The LCM of 214,387,253,977,290 is 2968300228410.

Find LCM of 214,387,253,977,290 with Prime Factorization


2 214, 387, 253, 977, 290
107, 387, 253, 977, 145

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

2 x 107 x 387 x 253 x 977 x 145 = 2968300228410

Therefore, the lowest common multiple of 214,387,253,977,290 is 2968300228410.

LCM Formula to Find Lowest Common Multiple of 214,387,253,977,290

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.

214 x 387 x 253 x 977 x 290 = 5936600456820

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.

214 : 1, 2, 107, 214

387 : 1, 3, 9, 43, 129, 387

253 : 1, 11, 23, 253

977 : 1, 977

290 : 1, 2, 5, 10, 29, 58, 145, 290

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 214,387,253,977,290, is 1.

Now, the common factors can be found like this.

214:2x 107

387:3x 3x 43

253:11x 23

977:977

290:2x 5x 29

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2 = 2

Therefore, the value for common factors is 2.

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 = 5936600456820/(1x2)

LCM = 5936600456820/2

LCM = 2968300228410

Thus, we can understand that the LCM of 214,387,253,977,290 is 2968300228410.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 214, 387, 253, 977, 290

1. What is the LCM of 214, 387, 253, 977, 290?

Answer: LCM of 214, 387, 253, 977, 290 is 2968300228410.

2. How to calculate the LCM of 214, 387, 253, 977, 290?

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 214, 387, 253, 977, 290.

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}.