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LCM of 309, 688, 577, 562

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


Find the LCM of 309, 688, 577, 562 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 309, 688, 577, 562. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 309,688,577,562

Given numbers are 309,688,577,562

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

The LCM of 309,688,577,562 is 34469029104.

Find LCM of 309,688,577,562 with Prime Factorization


2 309, 688, 577, 562
309, 344, 577, 281

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

2 x 309 x 344 x 577 x 281 = 34469029104

Therefore, the lowest common multiple of 309,688,577,562 is 34469029104.

LCM Formula to Find Lowest Common Multiple of 309,688,577,562

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.

309 x 688 x 577 x 562 = 68938058208

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.

309 : 1, 3, 103, 309

688 : 1, 2, 4, 8, 16, 43, 86, 172, 344, 688

577 : 1, 577

562 : 1, 2, 281, 562

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 309,688,577,562, is 1.

Now, the common factors can be found like this.

309:3x 103

688:2x 2x 2x 2x 43

577:577

562:2x 281

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

2 = 2

Therefore, the value for common factors is 2.

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 = 68938058208/(1x2)

LCM = 68938058208/2

LCM = 34469029104

Thus, we can understand that the LCM of 309,688,577,562 is 34469029104.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 309, 688, 577, 562

1. What is the LCM of 309, 688, 577, 562?

Answer: LCM of 309, 688, 577, 562 is 34469029104.

2. How to calculate the LCM of 309, 688, 577, 562?

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 309, 688, 577, 562.

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}.