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LCM of 497, 695, 335, 675

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


Find the LCM of 497, 695, 335, 675 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 497, 695, 335, 675. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 497,695,335,675

Given numbers are 497,695,335,675

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

The LCM of 497,695,335,675 is 3124278675.

Find LCM of 497,695,335,675 with Prime Factorization


5 497, 695, 335, 675
497, 139, 67, 135

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

5 x 497 x 139 x 67 x 135 = 3124278675

Therefore, the lowest common multiple of 497,695,335,675 is 3124278675.

LCM Formula to Find Lowest Common Multiple of 497,695,335,675

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.

497 x 695 x 335 x 675 = 78106966875

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.

497 : 1, 7, 71, 497

695 : 1, 5, 139, 695

335 : 1, 5, 67, 335

675 : 1, 3, 5, 9, 15, 25, 27, 45, 75, 135, 225, 675

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 497,695,335,675, is 1.

Now, the common factors can be found like this.

497:7x 71

695:5x 139

335:5x 67

675:3x 3x 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.

5x 5 = 25

Therefore, the value for common factors is 25.

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 = 78106966875/(1x25)

LCM = 78106966875/25

LCM = 3124278675

Thus, we can understand that the LCM of 497,695,335,675 is 3124278675.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 497, 695, 335, 675

1. What is the LCM of 497, 695, 335, 675?

Answer: LCM of 497, 695, 335, 675 is 3124278675.

2. How to calculate the LCM of 497, 695, 335, 675?

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 497, 695, 335, 675.

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}.