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LCM of 527, 192, 969, 510

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


Find the LCM of 527, 192, 969, 510 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 527, 192, 969, 510. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 527,192,969,510

Given numbers are 527,192,969,510

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

The LCM of 527,192,969,510 is 9612480.

Find LCM of 527,192,969,510 with Prime Factorization


2 527, 192, 969, 510
3 527, 96, 969, 255
17 527, 32, 323, 85
31, 32, 19, 5

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

2 x 3 x 17 x 31 x 32 x 19 x 5 = 9612480

Therefore, the lowest common multiple of 527,192,969,510 is 9612480.

LCM Formula to Find Lowest Common Multiple of 527,192,969,510

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.

527 x 192 x 969 x 510 = 50004120960

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.

527 : 1, 17, 31, 527

192 : 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 192

969 : 1, 3, 17, 19, 51, 57, 323, 969

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 527,192,969,510, is 1.

Now, the common factors can be found like this.

527:17x 31

192:2x 2x 2x 2x 2x 2x 3

969:3x 17x 19

510:2x 3x 5x 17

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

2x 3x 3x 17x 17 = 5202

Therefore, the value for common factors is 5202.

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 = 50004120960/(1x5202)

LCM = 50004120960/5202

LCM = 9612480

Thus, we can understand that the LCM of 527,192,969,510 is 9612480.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 527, 192, 969, 510

1. What is the LCM of 527, 192, 969, 510?

Answer: LCM of 527, 192, 969, 510 is 9612480.

2. How to calculate the LCM of 527, 192, 969, 510?

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 527, 192, 969, 510.

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}.