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LCM of 649, 328, 257, 332

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


Find the LCM of 649, 328, 257, 332 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 649, 328, 257, 332. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 649,328,257,332

Given numbers are 649,328,257,332

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

The LCM of 649,328,257,332 is 4540772632.

Find LCM of 649,328,257,332 with Prime Factorization


2 649, 328, 257, 332
2 649, 164, 257, 166
649, 82, 257, 83

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

2 x 2 x 649 x 82 x 257 x 83 = 4540772632

Therefore, the lowest common multiple of 649,328,257,332 is 4540772632.

LCM Formula to Find Lowest Common Multiple of 649,328,257,332

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.

649 x 328 x 257 x 332 = 18163090528

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.

649 : 1, 11, 59, 649

328 : 1, 2, 4, 8, 41, 82, 164, 328

257 : 1, 257

332 : 1, 2, 4, 83, 166, 332

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 649,328,257,332, is 1.

Now, the common factors can be found like this.

649:11x 59

328:2x 2x 2x 41

257:257

332:2x 2x 83

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

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 18163090528/(1x4)

LCM = 18163090528/4

LCM = 4540772632

Thus, we can understand that the LCM of 649,328,257,332 is 4540772632.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 649, 328, 257, 332

1. What is the LCM of 649, 328, 257, 332?

Answer: LCM of 649, 328, 257, 332 is 4540772632.

2. How to calculate the LCM of 649, 328, 257, 332?

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 649, 328, 257, 332.

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}.