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LCM of 265, 334, 334, 604, 554

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


Find the LCM of 265, 334, 334, 604, 554 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 265, 334, 334, 604, 554. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 265,334,334,604,554

Given numbers are 265,334,334,604,554

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

The LCM of 265,334,334,604,554 is 7404215540.

Find LCM of 265,334,334,604,554 with Prime Factorization


2 265, 334, 334, 604, 554
167 265, 167, 167, 302, 277
265, 1, 1, 302, 277

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

2 x 167 x 265 x 1 x 1 x 302 x 277 = 7404215540

Therefore, the lowest common multiple of 265,334,334,604,554 is 7404215540.

LCM Formula to Find Lowest Common Multiple of 265,334,334,604,554

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.

265 x 334 x 334 x 604 x 554 = 9892031961440

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.

265 : 1, 5, 53, 265

334 : 1, 2, 167, 334

334 : 1, 2, 167, 334

604 : 1, 2, 4, 151, 302, 604

554 : 1, 2, 277, 554

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 265,334,334,604,554, is 1.

Now, the common factors can be found like this.

265:5x 53

334:2x 167

334:2x 167

604:2x 2x 151

554:2x 277

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 2x 167 = 1336

Therefore, the value for common factors is 1336.

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 = 9892031961440/(1x1336)

LCM = 9892031961440/1336

LCM = 7404215540

Thus, we can understand that the LCM of 265,334,334,604,554 is 7404215540.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 265, 334, 334, 604, 554

1. What is the LCM of 265, 334, 334, 604, 554?

Answer: LCM of 265, 334, 334, 604, 554 is 7404215540.

2. How to calculate the LCM of 265, 334, 334, 604, 554?

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 265, 334, 334, 604, 554.

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}.