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 746, 165, 825, 153, 763

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


Find the LCM of 746, 165, 825, 153, 763 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 746, 165, 825, 153, 763. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 746,165,825,153,763

Given numbers are 746,165,825,153,763

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

The LCM of 746,165,825,153,763 is 23949005850.

Find LCM of 746,165,825,153,763 with Prime Factorization


3 746, 165, 825, 153, 763
5 746, 55, 275, 51, 763
11 746, 11, 55, 51, 763
746, 1, 5, 51, 763

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

3 x 5 x 11 x 746 x 1 x 5 x 51 x 763 = 23949005850

Therefore, the lowest common multiple of 746,165,825,153,763 is 23949005850.

LCM Formula to Find Lowest Common Multiple of 746,165,825,153,763

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.

746 x 165 x 825 x 153 x 763 = 11854757895750

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.

746 : 1, 2, 373, 746

165 : 1, 3, 5, 11, 15, 33, 55, 165

825 : 1, 3, 5, 11, 15, 25, 33, 55, 75, 165, 275, 825

153 : 1, 3, 9, 17, 51, 153

763 : 1, 7, 109, 763

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 746,165,825,153,763, is 1.

Now, the common factors can be found like this.

746:2x 373

165:3x 5x 11

825:3x 5x 5x 11

153:3x 3x 17

763:7x 109

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 11 = 495

Therefore, the value for common factors is 495.

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 = 11854757895750/(1x495)

LCM = 11854757895750/495

LCM = 23949005850

Thus, we can understand that the LCM of 746,165,825,153,763 is 23949005850.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 746, 165, 825, 153, 763

1. What is the LCM of 746, 165, 825, 153, 763?

Answer: LCM of 746, 165, 825, 153, 763 is 23949005850.

2. How to calculate the LCM of 746, 165, 825, 153, 763?

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 746, 165, 825, 153, 763.

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}.