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LCM of 498, 443, 607, 607, 265

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


Find the LCM of 498, 443, 607, 607, 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 498, 443, 607, 607, 265. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 498,443,607,607,265

Given numbers are 498,443,607,607,265

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

The LCM of 498,443,607,607,265 is 35486864970.

Find LCM of 498,443,607,607,265 with Prime Factorization


607 498, 443, 607, 607, 265
498, 443, 1, 1, 265

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

607 x 498 x 443 x 1 x 1 x 265 = 35486864970

Therefore, the lowest common multiple of 498,443,607,607,265 is 35486864970.

LCM Formula to Find Lowest Common Multiple of 498,443,607,607,265

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.

498 x 443 x 607 x 607 x 265 = 21540527036790

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.

498 : 1, 2, 3, 6, 83, 166, 249, 498

443 : 1, 443

607 : 1, 607

607 : 1, 607

265 : 1, 5, 53, 265

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 498,443,607,607,265, is 1.

Now, the common factors can be found like this.

498:2x 3x 83

443:443

607:607

607:607

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.

607 = 607

Therefore, the value for common factors is 607.

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 = 21540527036790/(1x607)

LCM = 21540527036790/607

LCM = 35486864970

Thus, we can understand that the LCM of 498,443,607,607,265 is 35486864970.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 498, 443, 607, 607, 265

1. What is the LCM of 498, 443, 607, 607, 265?

Answer: LCM of 498, 443, 607, 607, 265 is 35486864970.

2. How to calculate the LCM of 498, 443, 607, 607, 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 498, 443, 607, 607, 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}.