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LCM of 845, 156, 971, 851

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


Find the LCM of 845, 156, 971, 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 845, 156, 971, 851. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 845,156,971,851

Given numbers are 845,156,971,851

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

The LCM of 845,156,971,851 is 8378894940.

Find LCM of 845,156,971,851 with Prime Factorization


13 845, 156, 971, 851
65, 12, 971, 851

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

13 x 65 x 12 x 971 x 851 = 8378894940

Therefore, the lowest common multiple of 845,156,971,851 is 8378894940.

LCM Formula to Find Lowest Common Multiple of 845,156,971,851

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.

845 x 156 x 971 x 851 = 108925634220

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.

845 : 1, 5, 13, 65, 169, 845

156 : 1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156

971 : 1, 971

851 : 1, 23, 37, 851

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 845,156,971,851, is 1.

Now, the common factors can be found like this.

845:5x 13x 13

156:2x 2x 3x 13

971:971

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.

13 = 13

Therefore, the value for common factors is 13.

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 = 108925634220/(1x13)

LCM = 108925634220/13

LCM = 8378894940

Thus, we can understand that the LCM of 845,156,971,851 is 8378894940.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 845, 156, 971, 851

1. What is the LCM of 845, 156, 971, 851?

Answer: LCM of 845, 156, 971, 851 is 8378894940.

2. How to calculate the LCM of 845, 156, 971, 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 845, 156, 971, 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}.