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 457, 376, 423, 650, 734

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


Find the LCM of 457, 376, 423, 650, 734 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 457, 376, 423, 650, 734. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 457,376,423,650,734

Given numbers are 457,376,423,650,734

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

The LCM of 457,376,423,650,734 is 184457356200.

Find LCM of 457,376,423,650,734 with Prime Factorization


2 457, 376, 423, 650, 734
47 457, 188, 423, 325, 367
457, 4, 9, 325, 367

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

2 x 47 x 457 x 4 x 9 x 325 x 367 = 184457356200

Therefore, the lowest common multiple of 457,376,423,650,734 is 184457356200.

LCM Formula to Find Lowest Common Multiple of 457,376,423,650,734

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.

457 x 376 x 423 x 650 x 734 = 34677982965600

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.

457 : 1, 457

376 : 1, 2, 4, 8, 47, 94, 188, 376

423 : 1, 3, 9, 47, 141, 423

650 : 1, 2, 5, 10, 13, 25, 26, 50, 65, 130, 325, 650

734 : 1, 2, 367, 734

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 457,376,423,650,734, is 1.

Now, the common factors can be found like this.

457:457

376:2x 2x 2x 47

423:3x 3x 47

650:2x 5x 5x 13

734:2x 367

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 47 = 188

Therefore, the value for common factors is 188.

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 = 34677982965600/(1x188)

LCM = 34677982965600/188

LCM = 184457356200

Thus, we can understand that the LCM of 457,376,423,650,734 is 184457356200.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 457, 376, 423, 650, 734

1. What is the LCM of 457, 376, 423, 650, 734?

Answer: LCM of 457, 376, 423, 650, 734 is 184457356200.

2. How to calculate the LCM of 457, 376, 423, 650, 734?

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 457, 376, 423, 650, 734.

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}.