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LCM of 483, 777, 296, 746, 703

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


Find the LCM of 483, 777, 296, 746, 703 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 483, 777, 296, 746, 703. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 483,777,296,746,703

Given numbers are 483,777,296,746,703

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

The LCM of 483,777,296,746,703 is 1013214216.

Find LCM of 483,777,296,746,703 with Prime Factorization


2 483, 777, 296, 746, 703
3 483, 777, 148, 373, 703
7 161, 259, 148, 373, 703
37 23, 37, 148, 373, 703
23, 1, 4, 373, 19

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

2 x 3 x 7 x 37 x 23 x 1 x 4 x 373 x 19 = 1013214216

Therefore, the lowest common multiple of 483,777,296,746,703 is 1013214216.

LCM Formula to Find Lowest Common Multiple of 483,777,296,746,703

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.

483 x 777 x 296 x 746 x 703 = 58257790991568

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.

483 : 1, 3, 7, 21, 23, 69, 161, 483

777 : 1, 3, 7, 21, 37, 111, 259, 777

296 : 1, 2, 4, 8, 37, 74, 148, 296

746 : 1, 2, 373, 746

703 : 1, 19, 37, 703

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 483,777,296,746,703, is 1.

Now, the common factors can be found like this.

483:3x 7x 23

777:3x 7x 37

296:2x 2x 2x 37

746:2x 373

703:19x 37

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 7x 37x 37 = 57498

Therefore, the value for common factors is 57498.

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 = 58257790991568/(1x57498)

LCM = 58257790991568/57498

LCM = 1013214216

Thus, we can understand that the LCM of 483,777,296,746,703 is 1013214216.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 483, 777, 296, 746, 703

1. What is the LCM of 483, 777, 296, 746, 703?

Answer: LCM of 483, 777, 296, 746, 703 is 1013214216.

2. How to calculate the LCM of 483, 777, 296, 746, 703?

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 483, 777, 296, 746, 703.

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}.