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 781, 392, 476, 714

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


Find the LCM of 781, 392, 476, 714 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 781, 392, 476, 714. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 781,392,476,714

Given numbers are 781,392,476,714

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

The LCM of 781,392,476,714 is 15613752.

Find LCM of 781,392,476,714 with Prime Factorization


2 781, 392, 476, 714
2 781, 196, 238, 357
7 781, 98, 119, 357
17 781, 14, 17, 51
781, 14, 1, 3

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

2 x 2 x 7 x 17 x 781 x 14 x 1 x 3 = 15613752

Therefore, the lowest common multiple of 781,392,476,714 is 15613752.

LCM Formula to Find Lowest Common Multiple of 781,392,476,714

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.

781 x 392 x 476 x 714 = 104050043328

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.

781 : 1, 11, 71, 781

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

476 : 1, 2, 4, 7, 14, 17, 28, 34, 68, 119, 238, 476

714 : 1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 781,392,476,714, is 1.

Now, the common factors can be found like this.

781:11x 71

392:2x 2x 2x 7x 7

476:2x 2x 7x 17

714:2x 3x 7x 17

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 7x 7x 17 = 6664

Therefore, the value for common factors is 6664.

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 = 104050043328/(1x6664)

LCM = 104050043328/6664

LCM = 15613752

Thus, we can understand that the LCM of 781,392,476,714 is 15613752.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 781, 392, 476, 714

1. What is the LCM of 781, 392, 476, 714?

Answer: LCM of 781, 392, 476, 714 is 15613752.

2. How to calculate the LCM of 781, 392, 476, 714?

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 781, 392, 476, 714.

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}.