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LCM of 729, 707, 638, 992, 454

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


Find the LCM of 729, 707, 638, 992, 454 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 729, 707, 638, 992, 454. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 729,707,638,992,454

Given numbers are 729,707,638,992,454

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

The LCM of 729,707,638,992,454 is 37023302419488.

Find LCM of 729,707,638,992,454 with Prime Factorization


2 729, 707, 638, 992, 454
729, 707, 319, 496, 227

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

2 x 729 x 707 x 319 x 496 x 227 = 37023302419488

Therefore, the lowest common multiple of 729,707,638,992,454 is 37023302419488.

LCM Formula to Find Lowest Common Multiple of 729,707,638,992,454

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.

729 x 707 x 638 x 992 x 454 = 148093209677952

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.

729 : 1, 3, 9, 27, 81, 243, 729

707 : 1, 7, 101, 707

638 : 1, 2, 11, 22, 29, 58, 319, 638

992 : 1, 2, 4, 8, 16, 31, 32, 62, 124, 248, 496, 992

454 : 1, 2, 227, 454

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 729,707,638,992,454, is 1.

Now, the common factors can be found like this.

729:3x 3x 3x 3x 3x 3

707:7x 101

638:2x 11x 29

992:2x 2x 2x 2x 2x 31

454:2x 227

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

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 148093209677952/(1x4)

LCM = 148093209677952/4

LCM = 37023302419488

Thus, we can understand that the LCM of 729,707,638,992,454 is 37023302419488.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 729, 707, 638, 992, 454

1. What is the LCM of 729, 707, 638, 992, 454?

Answer: LCM of 729, 707, 638, 992, 454 is 37023302419488.

2. How to calculate the LCM of 729, 707, 638, 992, 454?

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 729, 707, 638, 992, 454.

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}.