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 392, 473, 496, 334

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


Find the LCM of 392, 473, 496, 334 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 392, 473, 496, 334. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 392,473,496,334

Given numbers are 392,473,496,334

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

The LCM of 392,473,496,334 is 1919797264.

Find LCM of 392,473,496,334 with Prime Factorization


2 392, 473, 496, 334
2 196, 473, 248, 167
2 98, 473, 124, 167
49, 473, 62, 167

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

2 x 2 x 2 x 49 x 473 x 62 x 167 = 1919797264

Therefore, the lowest common multiple of 392,473,496,334 is 1919797264.

LCM Formula to Find Lowest Common Multiple of 392,473,496,334

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.

392 x 473 x 496 x 334 = 30716756224

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.

392 : 1, 2, 4, 7, 8, 14, 28, 49, 56, 98, 196, 392

473 : 1, 11, 43, 473

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

334 : 1, 2, 167, 334

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 392,473,496,334, is 1.

Now, the common factors can be found like this.

392:2x 2x 2x 7x 7

473:11x 43

496:2x 2x 2x 2x 31

334:2x 167

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 2 = 16

Therefore, the value for common factors is 16.

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 = 30716756224/(1x16)

LCM = 30716756224/16

LCM = 1919797264

Thus, we can understand that the LCM of 392,473,496,334 is 1919797264.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 392, 473, 496, 334

1. What is the LCM of 392, 473, 496, 334?

Answer: LCM of 392, 473, 496, 334 is 1919797264.

2. How to calculate the LCM of 392, 473, 496, 334?

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 392, 473, 496, 334.

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}.