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 347, 831, 378, 966, 705

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


Find the LCM of 347, 831, 378, 966, 705 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 347, 831, 378, 966, 705. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 347,831,378,966,705

Given numbers are 347,831,378,966,705

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

The LCM of 347,831,378,966,705 is 196379767710.

Find LCM of 347,831,378,966,705 with Prime Factorization


2 347, 831, 378, 966, 705
3 347, 831, 189, 483, 705
7 347, 277, 63, 161, 235
347, 277, 9, 23, 235

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

2 x 3 x 7 x 347 x 277 x 9 x 23 x 235 = 196379767710

Therefore, the lowest common multiple of 347,831,378,966,705 is 196379767710.

LCM Formula to Find Lowest Common Multiple of 347,831,378,966,705

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.

347 x 831 x 378 x 966 x 705 = 74231552194380

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.

347 : 1, 347

831 : 1, 3, 277, 831

378 : 1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378

966 : 1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 69, 138, 161, 322, 483, 966

705 : 1, 3, 5, 15, 47, 141, 235, 705

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 347,831,378,966,705, is 1.

Now, the common factors can be found like this.

347:347

831:3x 277

378:2x 3x 3x 3x 7

966:2x 3x 7x 23

705:3x 5x 47

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 3x 3x 3x 7 = 378

Therefore, the value for common factors is 378.

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 = 74231552194380/(1x378)

LCM = 74231552194380/378

LCM = 196379767710

Thus, we can understand that the LCM of 347,831,378,966,705 is 196379767710.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 347, 831, 378, 966, 705

1. What is the LCM of 347, 831, 378, 966, 705?

Answer: LCM of 347, 831, 378, 966, 705 is 196379767710.

2. How to calculate the LCM of 347, 831, 378, 966, 705?

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 347, 831, 378, 966, 705.

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}.