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LCM of 535, 169, 892, 849, 723

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


Find the LCM of 535, 169, 892, 849, 723 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 535, 169, 892, 849, 723. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 535,169,892,849,723

Given numbers are 535,169,892,849,723

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

The LCM of 535,169,892,849,723 is 16501752679620.

Find LCM of 535,169,892,849,723 with Prime Factorization


3 535, 169, 892, 849, 723
535, 169, 892, 283, 241

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

3 x 535 x 169 x 892 x 283 x 241 = 16501752679620

Therefore, the lowest common multiple of 535,169,892,849,723 is 16501752679620.

LCM Formula to Find Lowest Common Multiple of 535,169,892,849,723

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.

535 x 169 x 892 x 849 x 723 = 49505258038860

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.

535 : 1, 5, 107, 535

169 : 1, 13, 169

892 : 1, 2, 4, 223, 446, 892

849 : 1, 3, 283, 849

723 : 1, 3, 241, 723

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 535,169,892,849,723, is 1.

Now, the common factors can be found like this.

535:5x 107

169:13x 13

892:2x 2x 223

849:3x 283

723:3x 241

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

3 = 3

Therefore, the value for common factors is 3.

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 = 49505258038860/(1x3)

LCM = 49505258038860/3

LCM = 16501752679620

Thus, we can understand that the LCM of 535,169,892,849,723 is 16501752679620.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 535, 169, 892, 849, 723

1. What is the LCM of 535, 169, 892, 849, 723?

Answer: LCM of 535, 169, 892, 849, 723 is 16501752679620.

2. How to calculate the LCM of 535, 169, 892, 849, 723?

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 535, 169, 892, 849, 723.

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}.