LCM of 3 Numbers Calculator LCM of 4 Numbers Calculator LCM of 5 Numbers Calculator LCD Calculator How to find LCM LCM and HCF Questions Least Common Denominator Calculator Greatest Common Divisor Calculator HCF Calculator HCF of 3 Numbers Calculator HCF of 4 Numbers Calculator GCD Calculator Greatest Common Factor Calculator Least Common Multiple Calculator Common Factors Calculator

LCM of 685, 314, 537, 232, 783

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


Find the LCM of 685, 314, 537, 232, 783 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 685, 314, 537, 232, 783. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 685,314,537,232,783

Given numbers are 685,314,537,232,783

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

The LCM of 685,314,537,232,783 is 120585476520.

Find LCM of 685,314,537,232,783 with Prime Factorization


2 685, 314, 537, 232, 783
3 685, 157, 537, 116, 783
29 685, 157, 179, 116, 261
685, 157, 179, 4, 9

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

2 x 3 x 29 x 685 x 157 x 179 x 4 x 9 = 120585476520

Therefore, the lowest common multiple of 685,314,537,232,783 is 120585476520.

LCM Formula to Find Lowest Common Multiple of 685,314,537,232,783

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.

685 x 314 x 537 x 232 x 783 = 20981872914480

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.

685 : 1, 5, 137, 685

314 : 1, 2, 157, 314

537 : 1, 3, 179, 537

232 : 1, 2, 4, 8, 29, 58, 116, 232

783 : 1, 3, 9, 27, 29, 87, 261, 783

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 685,314,537,232,783, is 1.

Now, the common factors can be found like this.

685:5x 137

314:2x 157

537:3x 179

232:2x 2x 2x 29

783:3x 3x 3x 29

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 29 = 174

Therefore, the value for common factors is 174.

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 = 20981872914480/(1x174)

LCM = 20981872914480/174

LCM = 120585476520

Thus, we can understand that the LCM of 685,314,537,232,783 is 120585476520.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 685, 314, 537, 232, 783

1. What is the LCM of 685, 314, 537, 232, 783?

Answer: LCM of 685, 314, 537, 232, 783 is 120585476520.

2. How to calculate the LCM of 685, 314, 537, 232, 783?

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 685, 314, 537, 232, 783.

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}.