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LCM of 692, 900, 327, 813, 851

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


Find the LCM of 692, 900, 327, 813, 851 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 692, 900, 327, 813, 851. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 692,900,327,813,851

Given numbers are 692,900,327,813,851

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

The LCM of 692,900,327,813,851 is 3913938177300.

Find LCM of 692,900,327,813,851 with Prime Factorization


2 692, 900, 327, 813, 851
2 346, 450, 327, 813, 851
3 173, 225, 327, 813, 851
173, 75, 109, 271, 851

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

2 x 2 x 3 x 173 x 75 x 109 x 271 x 851 = 3913938177300

Therefore, the lowest common multiple of 692,900,327,813,851 is 3913938177300.

LCM Formula to Find Lowest Common Multiple of 692,900,327,813,851

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.

692 x 900 x 327 x 813 x 851 = 140901774382800

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.

692 : 1, 2, 4, 173, 346, 692

900 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900

327 : 1, 3, 109, 327

813 : 1, 3, 271, 813

851 : 1, 23, 37, 851

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 692,900,327,813,851, is 1.

Now, the common factors can be found like this.

692:2x 2x 173

900:2x 2x 3x 3x 5x 5

327:3x 109

813:3x 271

851:23x 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 2x 3x 3 = 36

Therefore, the value for common factors is 36.

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 = 140901774382800/(1x36)

LCM = 140901774382800/36

LCM = 3913938177300

Thus, we can understand that the LCM of 692,900,327,813,851 is 3913938177300.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 692, 900, 327, 813, 851

1. What is the LCM of 692, 900, 327, 813, 851?

Answer: LCM of 692, 900, 327, 813, 851 is 3913938177300.

2. How to calculate the LCM of 692, 900, 327, 813, 851?

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 692, 900, 327, 813, 851.

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}.