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LCM of 469, 546, 297, 510

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


Find the LCM of 469, 546, 297, 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 469, 546, 297, 510. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 469,546,297,510

Given numbers are 469,546,297,510

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

The LCM of 469,546,297,510 is 307837530.

Find LCM of 469,546,297,510 with Prime Factorization


2 469, 546, 297, 510
3 469, 273, 297, 255
7 469, 91, 99, 85
67, 13, 99, 85

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

2 x 3 x 7 x 67 x 13 x 99 x 85 = 307837530

Therefore, the lowest common multiple of 469,546,297,510 is 307837530.

LCM Formula to Find Lowest Common Multiple of 469,546,297,510

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.

469 x 546 x 297 x 510 = 38787528780

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.

469 : 1, 7, 67, 469

546 : 1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 182, 273, 546

297 : 1, 3, 9, 11, 27, 33, 99, 297

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 469,546,297,510, is 1.

Now, the common factors can be found like this.

469:7x 67

546:2x 3x 7x 13

297:3x 3x 3x 11

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 7 = 126

Therefore, the value for common factors is 126.

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 = 38787528780/(1x126)

LCM = 38787528780/126

LCM = 307837530

Thus, we can understand that the LCM of 469,546,297,510 is 307837530.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 469, 546, 297, 510

1. What is the LCM of 469, 546, 297, 510?

Answer: LCM of 469, 546, 297, 510 is 307837530.

2. How to calculate the LCM of 469, 546, 297, 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 469, 546, 297, 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}.