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 741, 520, 969, 805, 657

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


Find the LCM of 741, 520, 969, 805, 657 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 741, 520, 969, 805, 657. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 741,520,969,805,657

Given numbers are 741,520,969,805,657

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

The LCM of 741,520,969,805,657 is 17766304920.

Find LCM of 741,520,969,805,657 with Prime Factorization


3 741, 520, 969, 805, 657
5 247, 520, 323, 805, 219
13 247, 104, 323, 161, 219
19 19, 8, 323, 161, 219
1, 8, 17, 161, 219

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

3 x 5 x 13 x 19 x 1 x 8 x 17 x 161 x 219 = 17766304920

Therefore, the lowest common multiple of 741,520,969,805,657 is 17766304920.

LCM Formula to Find Lowest Common Multiple of 741,520,969,805,657

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.

741 x 520 x 969 x 805 x 657 = 197472479185800

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.

741 : 1, 3, 13, 19, 39, 57, 247, 741

520 : 1, 2, 4, 5, 8, 10, 13, 20, 26, 40, 52, 65, 104, 130, 260, 520

969 : 1, 3, 17, 19, 51, 57, 323, 969

805 : 1, 5, 7, 23, 35, 115, 161, 805

657 : 1, 3, 9, 73, 219, 657

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 741,520,969,805,657, is 1.

Now, the common factors can be found like this.

741:3x 13x 19

520:2x 2x 2x 5x 13

969:3x 17x 19

805:5x 7x 23

657:3x 3x 73

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

3x 3x 5x 13x 19 = 11115

Therefore, the value for common factors is 11115.

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 = 197472479185800/(1x11115)

LCM = 197472479185800/11115

LCM = 17766304920

Thus, we can understand that the LCM of 741,520,969,805,657 is 17766304920.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 741, 520, 969, 805, 657

1. What is the LCM of 741, 520, 969, 805, 657?

Answer: LCM of 741, 520, 969, 805, 657 is 17766304920.

2. How to calculate the LCM of 741, 520, 969, 805, 657?

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 741, 520, 969, 805, 657.

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}.