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LCM of 374, 314, 238, 624, 363

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


Find the LCM of 374, 314, 238, 624, 363 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, 314, 238, 624, 363. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 374,314,238,624,363

Given numbers are 374,314,238,624,363

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

The LCM of 374,314,238,624,363 is 1410641232.

Find LCM of 374,314,238,624,363 with Prime Factorization


2 374, 314, 238, 624, 363
3 187, 157, 119, 312, 363
11 187, 157, 119, 104, 121
17 17, 157, 119, 104, 11
1, 157, 7, 104, 11

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

2 x 3 x 11 x 17 x 1 x 157 x 7 x 104 x 11 = 1410641232

Therefore, the lowest common multiple of 374,314,238,624,363 is 1410641232.

LCM Formula to Find Lowest Common Multiple of 374,314,238,624,363

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 314 x 238 x 624 x 363 = 6330957849216

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

314 : 1, 2, 157, 314

238 : 1, 2, 7, 14, 17, 34, 119, 238

624 : 1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 208, 312, 624

363 : 1, 3, 11, 33, 121, 363

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 374,314,238,624,363, is 1.

Now, the common factors can be found like this.

374:2x 11x 17

314:2x 157

238:2x 7x 17

624:2x 2x 2x 2x 3x 13

363:3x 11x 11

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 3x 11x 17 = 4488

Therefore, the value for common factors is 4488.

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 = 6330957849216/(1x4488)

LCM = 6330957849216/4488

LCM = 1410641232

Thus, we can understand that the LCM of 374,314,238,624,363 is 1410641232.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 374, 314, 238, 624, 363

1. What is the LCM of 374, 314, 238, 624, 363?

Answer: LCM of 374, 314, 238, 624, 363 is 1410641232.

2. How to calculate the LCM of 374, 314, 238, 624, 363?

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, 314, 238, 624, 363.

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}.