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LCM of 676, 156, 509, 652

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


Find the LCM of 676, 156, 509, 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 676, 156, 509, 652. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 676,156,509,652

Given numbers are 676,156,509,652

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

The LCM of 676,156,509,652 is 168257076.

Find LCM of 676,156,509,652 with Prime Factorization


2 676, 156, 509, 652
2 338, 78, 509, 326
13 169, 39, 509, 163
13, 3, 509, 163

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

2 x 2 x 13 x 13 x 3 x 509 x 163 = 168257076

Therefore, the lowest common multiple of 676,156,509,652 is 168257076.

LCM Formula to Find Lowest Common Multiple of 676,156,509,652

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.

676 x 156 x 509 x 652 = 34997471808

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.

676 : 1, 2, 4, 13, 26, 52, 169, 338, 676

156 : 1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156

509 : 1, 509

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 676,156,509,652, is 1.

Now, the common factors can be found like this.

676:2x 2x 13x 13

156:2x 2x 3x 13

509:509

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 2x 2x 2x 13 = 208

Therefore, the value for common factors is 208.

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 = 34997471808/(1x208)

LCM = 34997471808/208

LCM = 168257076

Thus, we can understand that the LCM of 676,156,509,652 is 168257076.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 676, 156, 509, 652

1. What is the LCM of 676, 156, 509, 652?

Answer: LCM of 676, 156, 509, 652 is 168257076.

2. How to calculate the LCM of 676, 156, 509, 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 676, 156, 509, 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}.