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LCM of 746, 604, 642, 642, 621

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


Find the LCM of 746, 604, 642, 642, 621 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, 604, 642, 642, 621. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 746,604,642,642,621

Given numbers are 746,604,642,642,621

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

The LCM of 746,604,642,642,621 is 14969977524.

Find LCM of 746,604,642,642,621 with Prime Factorization


2 746, 604, 642, 642, 621
3 373, 302, 321, 321, 621
107 373, 302, 107, 107, 207
373, 302, 1, 1, 207

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

2 x 3 x 107 x 373 x 302 x 1 x 1 x 207 = 14969977524

Therefore, the lowest common multiple of 746,604,642,642,621 is 14969977524.

LCM Formula to Find Lowest Common Multiple of 746,604,642,642,621

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 604 x 642 x 642 x 621 = 115328706844896

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

604 : 1, 2, 4, 151, 302, 604

642 : 1, 2, 3, 6, 107, 214, 321, 642

642 : 1, 2, 3, 6, 107, 214, 321, 642

621 : 1, 3, 9, 23, 27, 69, 207, 621

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 746,604,642,642,621, is 1.

Now, the common factors can be found like this.

746:2x 373

604:2x 2x 151

642:2x 3x 107

642:2x 3x 107

621:3x 3x 3x 23

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 3x 3x 107 = 7704

Therefore, the value for common factors is 7704.

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 = 115328706844896/(1x7704)

LCM = 115328706844896/7704

LCM = 14969977524

Thus, we can understand that the LCM of 746,604,642,642,621 is 14969977524.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 746, 604, 642, 642, 621

1. What is the LCM of 746, 604, 642, 642, 621?

Answer: LCM of 746, 604, 642, 642, 621 is 14969977524.

2. How to calculate the LCM of 746, 604, 642, 642, 621?

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, 604, 642, 642, 621.

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}.