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 916, 631, 309, 942, 974

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


Find the LCM of 916, 631, 309, 942, 974 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 916, 631, 309, 942, 974. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 916,631,309,942,974

Given numbers are 916,631,309,942,974

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

The LCM of 916,631,309,942,974 is 13655635814676.

Find LCM of 916,631,309,942,974 with Prime Factorization


2 916, 631, 309, 942, 974
3 458, 631, 309, 471, 487
458, 631, 103, 157, 487

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

2 x 3 x 458 x 631 x 103 x 157 x 487 = 13655635814676

Therefore, the lowest common multiple of 916,631,309,942,974 is 13655635814676.

LCM Formula to Find Lowest Common Multiple of 916,631,309,942,974

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.

916 x 631 x 309 x 942 x 974 = 163867629776112

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.

916 : 1, 2, 4, 229, 458, 916

631 : 1, 631

309 : 1, 3, 103, 309

942 : 1, 2, 3, 6, 157, 314, 471, 942

974 : 1, 2, 487, 974

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 916,631,309,942,974, is 1.

Now, the common factors can be found like this.

916:2x 2x 229

631:631

309:3x 103

942:2x 3x 157

974:2x 487

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 3 = 12

Therefore, the value for common factors is 12.

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 = 163867629776112/(1x12)

LCM = 163867629776112/12

LCM = 13655635814676

Thus, we can understand that the LCM of 916,631,309,942,974 is 13655635814676.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 916, 631, 309, 942, 974

1. What is the LCM of 916, 631, 309, 942, 974?

Answer: LCM of 916, 631, 309, 942, 974 is 13655635814676.

2. How to calculate the LCM of 916, 631, 309, 942, 974?

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 916, 631, 309, 942, 974.

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}.