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LCM of 374, 633, 680, 75

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


Find the LCM of 374, 633, 680, 75 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, 633, 680, 75. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 374,633,680,75

Given numbers are 374,633,680,75

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

The LCM of 374,633,680,75 is 23674200.

Find LCM of 374,633,680,75 with Prime Factorization


2 374, 633, 680, 75
3 187, 633, 340, 75
5 187, 211, 340, 25
17 187, 211, 68, 5
11, 211, 4, 5

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

2 x 3 x 5 x 17 x 11 x 211 x 4 x 5 = 23674200

Therefore, the lowest common multiple of 374,633,680,75 is 23674200.

LCM Formula to Find Lowest Common Multiple of 374,633,680,75

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 633 x 680 x 75 = 12073842000

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

633 : 1, 3, 211, 633

680 : 1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680

75 : 1, 3, 5, 15, 25, 75

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 374,633,680,75, is 1.

Now, the common factors can be found like this.

374:2x 11x 17

633:3x 211

680:2x 2x 2x 5x 17

75:3x 5x 5

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

2x 3x 5x 17 = 510

Therefore, the value for common factors is 510.

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 = 12073842000/(1x510)

LCM = 12073842000/510

LCM = 23674200

Thus, we can understand that the LCM of 374,633,680,75 is 23674200.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 374, 633, 680, 75

1. What is the LCM of 374, 633, 680, 75?

Answer: LCM of 374, 633, 680, 75 is 23674200.

2. How to calculate the LCM of 374, 633, 680, 75?

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, 633, 680, 75.

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}.