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LCM of 510, 327, 834, 120

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


Find the LCM of 510, 327, 834, 120 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, 327, 834, 120. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 510,327,834,120

Given numbers are 510,327,834,120

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

The LCM of 510,327,834,120 is 30908040.

Find LCM of 510,327,834,120 with Prime Factorization


2 510, 327, 834, 120
3 255, 327, 417, 60
5 85, 109, 139, 20
17, 109, 139, 4

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

2 x 3 x 5 x 17 x 109 x 139 x 4 = 30908040

Therefore, the lowest common multiple of 510,327,834,120 is 30908040.

LCM Formula to Find Lowest Common Multiple of 510,327,834,120

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 327 x 834 x 120 = 16690341600

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

327 : 1, 3, 109, 327

834 : 1, 2, 3, 6, 139, 278, 417, 834

120 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120

3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 510,327,834,120, is 3.

Now, the common factors can be found like this.

510:2x 3x 5x 17

327:3x 109

834:2x 3x 139

120:2x 2x 2x 3x 5

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 3x 5 = 180

Therefore, the value for common factors is 180.

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 = 16690341600/(3x180)

LCM = 16690341600/540

LCM = 30908040

Thus, we can understand that the LCM of 510,327,834,120 is 30908040.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 510, 327, 834, 120

1. What is the LCM of 510, 327, 834, 120?

Answer: LCM of 510, 327, 834, 120 is 30908040.

2. How to calculate the LCM of 510, 327, 834, 120?

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, 327, 834, 120.

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}.