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LCM of 102, 389, 965, 838, 851

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


Find the LCM of 102, 389, 965, 838, 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 102, 389, 965, 838, 851. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 102,389,965,838,851

Given numbers are 102,389,965,838,851

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

The LCM of 102,389,965,838,851 is 13652766714630.

Find LCM of 102,389,965,838,851 with Prime Factorization


2 102, 389, 965, 838, 851
51, 389, 965, 419, 851

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

2 x 51 x 389 x 965 x 419 x 851 = 13652766714630

Therefore, the lowest common multiple of 102,389,965,838,851 is 13652766714630.

LCM Formula to Find Lowest Common Multiple of 102,389,965,838,851

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.

102 x 389 x 965 x 838 x 851 = 27305533429260

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.

102 : 1, 2, 3, 6, 17, 34, 51, 102

389 : 1, 389

965 : 1, 5, 193, 965

838 : 1, 2, 419, 838

851 : 1, 23, 37, 851

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 102,389,965,838,851, is 1.

Now, the common factors can be found like this.

102:2x 3x 17

389:389

965:5x 193

838:2x 419

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.

2 = 2

Therefore, the value for common factors is 2.

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 = 27305533429260/(1x2)

LCM = 27305533429260/2

LCM = 13652766714630

Thus, we can understand that the LCM of 102,389,965,838,851 is 13652766714630.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 102, 389, 965, 838, 851

1. What is the LCM of 102, 389, 965, 838, 851?

Answer: LCM of 102, 389, 965, 838, 851 is 13652766714630.

2. How to calculate the LCM of 102, 389, 965, 838, 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 102, 389, 965, 838, 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}.