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 972, 313, 776, 162, 428

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


Find the LCM of 972, 313, 776, 162, 428 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 972, 313, 776, 162, 428. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 972,313,776,162,428

Given numbers are 972,313,776,162,428

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

The LCM of 972,313,776,162,428 is 6315330888.

Find LCM of 972,313,776,162,428 with Prime Factorization


2 972, 313, 776, 162, 428
2 486, 313, 388, 81, 214
3 243, 313, 194, 81, 107
3 27, 313, 194, 81, 107
3 9, 313, 194, 27, 107
3 3, 313, 194, 9, 107
1, 313, 194, 3, 107

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

2 x 2 x 3 x 3 x 3 x 3 x 1 x 313 x 194 x 3 x 107 = 6315330888

Therefore, the lowest common multiple of 972,313,776,162,428 is 6315330888.

LCM Formula to Find Lowest Common Multiple of 972,313,776,162,428

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.

972 x 313 x 776 x 162 x 428 = 16369337661696

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.

972 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972

313 : 1, 313

776 : 1, 2, 4, 8, 97, 194, 388, 776

162 : 1, 2, 3, 6, 9, 18, 27, 54, 81, 162

428 : 1, 2, 4, 107, 214, 428

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 972,313,776,162,428, is 1.

Now, the common factors can be found like this.

972:2x 2x 3x 3x 3x 3x 3

313:313

776:2x 2x 2x 97

162:2x 3x 3x 3x 3

428:2x 2x 107

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 2x 2x 2x 3x 3x 3x 3 = 2592

Therefore, the value for common factors is 2592.

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 = 16369337661696/(1x2592)

LCM = 16369337661696/2592

LCM = 6315330888

Thus, we can understand that the LCM of 972,313,776,162,428 is 6315330888.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 972, 313, 776, 162, 428

1. What is the LCM of 972, 313, 776, 162, 428?

Answer: LCM of 972, 313, 776, 162, 428 is 6315330888.

2. How to calculate the LCM of 972, 313, 776, 162, 428?

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 972, 313, 776, 162, 428.

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}.