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LCM of 497, 497, 354, 265

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


Find the LCM of 497, 497, 354, 265 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, 497, 354, 265. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 497,497,354,265

Given numbers are 497,497,354,265

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

The LCM of 497,497,354,265 is 46623570.

Find LCM of 497,497,354,265 with Prime Factorization


7 497, 497, 354, 265
71 71, 71, 354, 265
1, 1, 354, 265

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

7 x 71 x 1 x 1 x 354 x 265 = 46623570

Therefore, the lowest common multiple of 497,497,354,265 is 46623570.

LCM Formula to Find Lowest Common Multiple of 497,497,354,265

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 497 x 354 x 265 = 23171914290

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

497 : 1, 7, 71, 497

354 : 1, 2, 3, 6, 59, 118, 177, 354

265 : 1, 5, 53, 265

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 497,497,354,265, is 1.

Now, the common factors can be found like this.

497:7x 71

497:7x 71

354:2x 3x 59

265:5x 53

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

7x 71 = 497

Therefore, the value for common factors is 497.

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 = 23171914290/(1x497)

LCM = 23171914290/497

LCM = 46623570

Thus, we can understand that the LCM of 497,497,354,265 is 46623570.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 497, 497, 354, 265

1. What is the LCM of 497, 497, 354, 265?

Answer: LCM of 497, 497, 354, 265 is 46623570.

2. How to calculate the LCM of 497, 497, 354, 265?

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, 497, 354, 265.

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}.