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 754, 884, 972, 385

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


Find the LCM of 754, 884, 972, 385 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 754, 884, 972, 385. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 754,884,972,385

Given numbers are 754,884,972,385

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

The LCM of 754,884,972,385 is 2398375980.

Find LCM of 754,884,972,385 with Prime Factorization


2 754, 884, 972, 385
2 377, 442, 486, 385
13 377, 221, 243, 385
29, 17, 243, 385

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

2 x 2 x 13 x 29 x 17 x 243 x 385 = 2398375980

Therefore, the lowest common multiple of 754,884,972,385 is 2398375980.

LCM Formula to Find Lowest Common Multiple of 754,884,972,385

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.

754 x 884 x 972 x 385 = 249431101920

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.

754 : 1, 2, 13, 26, 29, 58, 377, 754

884 : 1, 2, 4, 13, 17, 26, 34, 52, 68, 221, 442, 884

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

385 : 1, 5, 7, 11, 35, 55, 77, 385

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 754,884,972,385, is 1.

Now, the common factors can be found like this.

754:2x 13x 29

884:2x 2x 13x 17

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

385:5x 7x 11

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 13 = 104

Therefore, the value for common factors is 104.

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 = 249431101920/(1x104)

LCM = 249431101920/104

LCM = 2398375980

Thus, we can understand that the LCM of 754,884,972,385 is 2398375980.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 754, 884, 972, 385

1. What is the LCM of 754, 884, 972, 385?

Answer: LCM of 754, 884, 972, 385 is 2398375980.

2. How to calculate the LCM of 754, 884, 972, 385?

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 754, 884, 972, 385.

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}.