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 851, 235, 629, 303, 993

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


Find the LCM of 851, 235, 629, 303, 993 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 851, 235, 629, 303, 993. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 851,235,629,303,993

Given numbers are 851,235,629,303,993

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

The LCM of 851,235,629,303,993 is 340970625285.

Find LCM of 851,235,629,303,993 with Prime Factorization


3 851, 235, 629, 303, 993
37 851, 235, 629, 101, 331
23, 235, 17, 101, 331

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

3 x 37 x 23 x 235 x 17 x 101 x 331 = 340970625285

Therefore, the lowest common multiple of 851,235,629,303,993 is 340970625285.

LCM Formula to Find Lowest Common Multiple of 851,235,629,303,993

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.

851 x 235 x 629 x 303 x 993 = 37847739406635

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.

851 : 1, 23, 37, 851

235 : 1, 5, 47, 235

629 : 1, 17, 37, 629

303 : 1, 3, 101, 303

993 : 1, 3, 331, 993

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 851,235,629,303,993, is 1.

Now, the common factors can be found like this.

851:23x 37

235:5x 47

629:17x 37

303:3x 101

993:3x 331

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

3x 37 = 111

Therefore, the value for common factors is 111.

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 = 37847739406635/(1x111)

LCM = 37847739406635/111

LCM = 340970625285

Thus, we can understand that the LCM of 851,235,629,303,993 is 340970625285.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 851, 235, 629, 303, 993

1. What is the LCM of 851, 235, 629, 303, 993?

Answer: LCM of 851, 235, 629, 303, 993 is 340970625285.

2. How to calculate the LCM of 851, 235, 629, 303, 993?

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 851, 235, 629, 303, 993.

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}.