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 103, 402, 992, 310

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


Find the LCM of 103, 402, 992, 310 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 103, 402, 992, 310. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 103,402,992,310

Given numbers are 103,402,992,310

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

The LCM of 103,402,992,310 is 102686880.

Find LCM of 103,402,992,310 with Prime Factorization


2 103, 402, 992, 310
31 103, 201, 496, 155
103, 201, 16, 5

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

2 x 31 x 103 x 201 x 16 x 5 = 102686880

Therefore, the lowest common multiple of 103,402,992,310 is 102686880.

LCM Formula to Find Lowest Common Multiple of 103,402,992,310

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.

103 x 402 x 992 x 310 = 12733173120

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.

103 : 1, 103

402 : 1, 2, 3, 6, 67, 134, 201, 402

992 : 1, 2, 4, 8, 16, 31, 32, 62, 124, 248, 496, 992

310 : 1, 2, 5, 10, 31, 62, 155, 310

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 103,402,992,310, is 1.

Now, the common factors can be found like this.

103:103

402:2x 3x 67

992:2x 2x 2x 2x 2x 31

310:2x 5x 31

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 31 = 124

Therefore, the value for common factors is 124.

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 = 12733173120/(1x124)

LCM = 12733173120/124

LCM = 102686880

Thus, we can understand that the LCM of 103,402,992,310 is 102686880.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 103, 402, 992, 310

1. What is the LCM of 103, 402, 992, 310?

Answer: LCM of 103, 402, 992, 310 is 102686880.

2. How to calculate the LCM of 103, 402, 992, 310?

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 103, 402, 992, 310.

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}.