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LCM of 374, 924, 247, 257, 388

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


Find the LCM of 374, 924, 247, 257, 388 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 374, 924, 247, 257, 388. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 374,924,247,257,388

Given numbers are 374,924,247,257,388

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

The LCM of 374,924,247,257,388 is 96721428804.

Find LCM of 374,924,247,257,388 with Prime Factorization


2 374, 924, 247, 257, 388
2 187, 462, 247, 257, 194
11 187, 231, 247, 257, 97
17, 21, 247, 257, 97

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

2 x 2 x 11 x 17 x 21 x 247 x 257 x 97 = 96721428804

Therefore, the lowest common multiple of 374,924,247,257,388 is 96721428804.

LCM Formula to Find Lowest Common Multiple of 374,924,247,257,388

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.

374 x 924 x 247 x 257 x 388 = 8511485734752

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.

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

924 : 1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924

247 : 1, 13, 19, 247

257 : 1, 257

388 : 1, 2, 4, 97, 194, 388

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 374,924,247,257,388, is 1.

Now, the common factors can be found like this.

374:2x 11x 17

924:2x 2x 3x 7x 11

247:13x 19

257:257

388:2x 2x 97

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 11 = 88

Therefore, the value for common factors is 88.

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 = 8511485734752/(1x88)

LCM = 8511485734752/88

LCM = 96721428804

Thus, we can understand that the LCM of 374,924,247,257,388 is 96721428804.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 374, 924, 247, 257, 388

1. What is the LCM of 374, 924, 247, 257, 388?

Answer: LCM of 374, 924, 247, 257, 388 is 96721428804.

2. How to calculate the LCM of 374, 924, 247, 257, 388?

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 374, 924, 247, 257, 388.

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}.