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LCM of 313, 548, 764, 685

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


Find the LCM of 313, 548, 764, 685 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 313, 548, 764, 685. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 313,548,764,685

Given numbers are 313,548,764,685

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

The LCM of 313,548,764,685 is 163805420.

Find LCM of 313,548,764,685 with Prime Factorization


2 313, 548, 764, 685
2 313, 274, 382, 685
137 313, 137, 191, 685
313, 1, 191, 5

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

2 x 2 x 137 x 313 x 1 x 191 x 5 = 163805420

Therefore, the lowest common multiple of 313,548,764,685 is 163805420.

LCM Formula to Find Lowest Common Multiple of 313,548,764,685

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.

313 x 548 x 764 x 685 = 89765370160

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.

313 : 1, 313

548 : 1, 2, 4, 137, 274, 548

764 : 1, 2, 4, 191, 382, 764

685 : 1, 5, 137, 685

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 313,548,764,685, is 1.

Now, the common factors can be found like this.

313:313

548:2x 2x 137

764:2x 2x 191

685:5x 137

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 137 = 548

Therefore, the value for common factors is 548.

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 = 89765370160/(1x548)

LCM = 89765370160/548

LCM = 163805420

Thus, we can understand that the LCM of 313,548,764,685 is 163805420.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 313, 548, 764, 685

1. What is the LCM of 313, 548, 764, 685?

Answer: LCM of 313, 548, 764, 685 is 163805420.

2. How to calculate the LCM of 313, 548, 764, 685?

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 313, 548, 764, 685.

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}.