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LCM of 897, 740, 851, 851

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


Find the LCM of 897, 740, 851, 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 897, 740, 851, 851. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 897,740,851,851

Given numbers are 897,740,851,851

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

The LCM of 897,740,851,851 is 663780.

Find LCM of 897,740,851,851 with Prime Factorization


23 897, 740, 851, 851
37 39, 740, 37, 37
39, 20, 1, 1

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

23 x 37 x 39 x 20 x 1 x 1 = 663780

Therefore, the lowest common multiple of 897,740,851,851 is 663780.

LCM Formula to Find Lowest Common Multiple of 897,740,851,851

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.

897 x 740 x 851 x 851 = 480710139780

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.

897 : 1, 3, 13, 23, 39, 69, 299, 897

740 : 1, 2, 4, 5, 10, 20, 37, 74, 148, 185, 370, 740

851 : 1, 23, 37, 851

851 : 1, 23, 37, 851

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 897,740,851,851, is 1.

Now, the common factors can be found like this.

897:3x 13x 23

740:2x 2x 5x 37

851:23x 37

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.

23x 23x 37x 37 = 724201

Therefore, the value for common factors is 724201.

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 = 480710139780/(1x724201)

LCM = 480710139780/724201

LCM = 663780

Thus, we can understand that the LCM of 897,740,851,851 is 663780.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 897, 740, 851, 851

1. What is the LCM of 897, 740, 851, 851?

Answer: LCM of 897, 740, 851, 851 is 663780.

2. How to calculate the LCM of 897, 740, 851, 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 897, 740, 851, 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}.