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 330, 504, 980, 743, 646

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


Find the LCM of 330, 504, 980, 743, 646 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 330, 504, 980, 743, 646. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 330,504,980,743,646

Given numbers are 330,504,980,743,646

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

The LCM of 330,504,980,743,646 is 46567465560.

Find LCM of 330,504,980,743,646 with Prime Factorization


2 330, 504, 980, 743, 646
2 165, 252, 490, 743, 323
3 165, 126, 245, 743, 323
5 55, 42, 245, 743, 323
7 11, 42, 49, 743, 323
11, 6, 7, 743, 323

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

2 x 2 x 3 x 5 x 7 x 11 x 6 x 7 x 743 x 323 = 46567465560

Therefore, the lowest common multiple of 330,504,980,743,646 is 46567465560.

LCM Formula to Find Lowest Common Multiple of 330,504,980,743,646

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.

330 x 504 x 980 x 743 x 646 = 78233342140800

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.

330 : 1, 2, 3, 5, 6, 10, 11, 15, 22, 30, 33, 55, 66, 110, 165, 330

504 : 1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 168, 252, 504

980 : 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 49, 70, 98, 140, 196, 245, 490, 980

743 : 1, 743

646 : 1, 2, 17, 19, 34, 38, 323, 646

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 330,504,980,743,646, is 1.

Now, the common factors can be found like this.

330:2x 3x 5x 11

504:2x 2x 2x 3x 3x 7

980:2x 2x 5x 7x 7

743:743

646:2x 17x 19

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 2x 3x 5x 7 = 1680

Therefore, the value for common factors is 1680.

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 = 78233342140800/(1x1680)

LCM = 78233342140800/1680

LCM = 46567465560

Thus, we can understand that the LCM of 330,504,980,743,646 is 46567465560.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 330, 504, 980, 743, 646

1. What is the LCM of 330, 504, 980, 743, 646?

Answer: LCM of 330, 504, 980, 743, 646 is 46567465560.

2. How to calculate the LCM of 330, 504, 980, 743, 646?

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 330, 504, 980, 743, 646.

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}.