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LCM of 510, 306, 785, 548

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


Find the LCM of 510, 306, 785, 548 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, 306, 785, 548. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 510,306,785,548

Given numbers are 510,306,785,548

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

The LCM of 510,306,785,548 is 65817540.

Find LCM of 510,306,785,548 with Prime Factorization


2 510, 306, 785, 548
3 255, 153, 785, 274
5 85, 51, 785, 274
17 17, 51, 157, 274
1, 3, 157, 274

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

2 x 3 x 5 x 17 x 1 x 3 x 157 x 274 = 65817540

Therefore, the lowest common multiple of 510,306,785,548 is 65817540.

LCM Formula to Find Lowest Common Multiple of 510,306,785,548

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 306 x 785 x 548 = 67133890800

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

306 : 1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 306

785 : 1, 5, 157, 785

548 : 1, 2, 4, 137, 274, 548

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 510,306,785,548, is 1.

Now, the common factors can be found like this.

510:2x 3x 5x 17

306:2x 3x 3x 17

785:5x 157

548:2x 2x 137

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 3x 5x 17 = 1020

Therefore, the value for common factors is 1020.

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 = 67133890800/(1x1020)

LCM = 67133890800/1020

LCM = 65817540

Thus, we can understand that the LCM of 510,306,785,548 is 65817540.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 510, 306, 785, 548

1. What is the LCM of 510, 306, 785, 548?

Answer: LCM of 510, 306, 785, 548 is 65817540.

2. How to calculate the LCM of 510, 306, 785, 548?

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, 306, 785, 548.

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}.