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LCM of 510, 649, 541, 662

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


Find the LCM of 510, 649, 541, 662 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 510, 649, 541, 662. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 510,649,541,662

Given numbers are 510,649,541,662

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

The LCM of 510,649,541,662 is 59270710290.

Find LCM of 510,649,541,662 with Prime Factorization


2 510, 649, 541, 662
255, 649, 541, 331

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

2 x 255 x 649 x 541 x 331 = 59270710290

Therefore, the lowest common multiple of 510,649,541,662 is 59270710290.

LCM Formula to Find Lowest Common Multiple of 510,649,541,662

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.

510 x 649 x 541 x 662 = 118541420580

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.

510 : 1, 2, 3, 5, 6, 10, 15, 17, 30, 34, 51, 85, 102, 170, 255, 510

649 : 1, 11, 59, 649

541 : 1, 541

662 : 1, 2, 331, 662

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 510,649,541,662, is 1.

Now, the common factors can be found like this.

510:2x 3x 5x 17

649:11x 59

541:541

662:2x 331

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

2 = 2

Therefore, the value for common factors is 2.

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 = 118541420580/(1x2)

LCM = 118541420580/2

LCM = 59270710290

Thus, we can understand that the LCM of 510,649,541,662 is 59270710290.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 510, 649, 541, 662

1. What is the LCM of 510, 649, 541, 662?

Answer: LCM of 510, 649, 541, 662 is 59270710290.

2. How to calculate the LCM of 510, 649, 541, 662?

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 510, 649, 541, 662.

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}.