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LCM of 174, 590, 714, 425

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


Find the LCM of 174, 590, 714, 425 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 174, 590, 714, 425. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 174,590,714,425

Given numbers are 174,590,714,425

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

The LCM of 174,590,714,425 is 30541350.

Find LCM of 174,590,714,425 with Prime Factorization


2 174, 590, 714, 425
3 87, 295, 357, 425
5 29, 295, 119, 425
17 29, 59, 119, 85
29, 59, 7, 5

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

2 x 3 x 5 x 17 x 29 x 59 x 7 x 5 = 30541350

Therefore, the lowest common multiple of 174,590,714,425 is 30541350.

LCM Formula to Find Lowest Common Multiple of 174,590,714,425

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.

174 x 590 x 714 x 425 = 31152177000

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.

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

590 : 1, 2, 5, 10, 59, 118, 295, 590

714 : 1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714

425 : 1, 5, 17, 25, 85, 425

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 174,590,714,425, is 1.

Now, the common factors can be found like this.

174:2x 3x 29

590:2x 5x 59

714:2x 3x 7x 17

425:5x 5x 17

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 3x 5x 17 = 1020

Therefore, the value for common factors is 1020.

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 = 31152177000/(1x1020)

LCM = 31152177000/1020

LCM = 30541350

Thus, we can understand that the LCM of 174,590,714,425 is 30541350.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 174, 590, 714, 425

1. What is the LCM of 174, 590, 714, 425?

Answer: LCM of 174, 590, 714, 425 is 30541350.

2. How to calculate the LCM of 174, 590, 714, 425?

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 174, 590, 714, 425.

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}.