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LCM of 758, 469, 174, 375

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


Find the LCM of 758, 469, 174, 375 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 758, 469, 174, 375. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 758,469,174,375

Given numbers are 758,469,174,375

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

The LCM of 758,469,174,375 is 3866084250.

Find LCM of 758,469,174,375 with Prime Factorization


2 758, 469, 174, 375
3 379, 469, 87, 375
379, 469, 29, 125

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

2 x 3 x 379 x 469 x 29 x 125 = 3866084250

Therefore, the lowest common multiple of 758,469,174,375 is 3866084250.

LCM Formula to Find Lowest Common Multiple of 758,469,174,375

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.

758 x 469 x 174 x 375 = 23196505500

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.

758 : 1, 2, 379, 758

469 : 1, 7, 67, 469

174 : 1, 2, 3, 6, 29, 58, 87, 174

375 : 1, 3, 5, 15, 25, 75, 125, 375

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 758,469,174,375, is 1.

Now, the common factors can be found like this.

758:2x 379

469:7x 67

174:2x 3x 29

375:3x 5x 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 3 = 6

Therefore, the value for common factors is 6.

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 = 23196505500/(1x6)

LCM = 23196505500/6

LCM = 3866084250

Thus, we can understand that the LCM of 758,469,174,375 is 3866084250.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 758, 469, 174, 375

1. What is the LCM of 758, 469, 174, 375?

Answer: LCM of 758, 469, 174, 375 is 3866084250.

2. How to calculate the LCM of 758, 469, 174, 375?

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 758, 469, 174, 375.

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}.