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LCM of 469, 230, 889, 652

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


Find the LCM of 469, 230, 889, 652 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, 230, 889, 652. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 469,230,889,652

Given numbers are 469,230,889,652

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

The LCM of 469,230,889,652 is 4466033740.

Find LCM of 469,230,889,652 with Prime Factorization


2 469, 230, 889, 652
7 469, 115, 889, 326
67, 115, 127, 326

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

2 x 7 x 67 x 115 x 127 x 326 = 4466033740

Therefore, the lowest common multiple of 469,230,889,652 is 4466033740.

LCM Formula to Find Lowest Common Multiple of 469,230,889,652

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 230 x 889 x 652 = 62524472360

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

230 : 1, 2, 5, 10, 23, 46, 115, 230

889 : 1, 7, 127, 889

652 : 1, 2, 4, 163, 326, 652

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 469,230,889,652, is 1.

Now, the common factors can be found like this.

469:7x 67

230:2x 5x 23

889:7x 127

652:2x 2x 163

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

2x 7 = 14

Therefore, the value for common factors is 14.

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 = 62524472360/(1x14)

LCM = 62524472360/14

LCM = 4466033740

Thus, we can understand that the LCM of 469,230,889,652 is 4466033740.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 469, 230, 889, 652

1. What is the LCM of 469, 230, 889, 652?

Answer: LCM of 469, 230, 889, 652 is 4466033740.

2. How to calculate the LCM of 469, 230, 889, 652?

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, 230, 889, 652.

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}.