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LCM of 791, 102, 867, 835

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


Find the LCM of 791, 102, 867, 835 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 791, 102, 867, 835. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 791,102,867,835

Given numbers are 791,102,867,835

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

The LCM of 791,102,867,835 is 1145280990.

Find LCM of 791,102,867,835 with Prime Factorization


3 791, 102, 867, 835
17 791, 34, 289, 835
791, 2, 17, 835

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

3 x 17 x 791 x 2 x 17 x 835 = 1145280990

Therefore, the lowest common multiple of 791,102,867,835 is 1145280990.

LCM Formula to Find Lowest Common Multiple of 791,102,867,835

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.

791 x 102 x 867 x 835 = 58409330490

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.

791 : 1, 7, 113, 791

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

867 : 1, 3, 17, 51, 289, 867

835 : 1, 5, 167, 835

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 791,102,867,835, is 1.

Now, the common factors can be found like this.

791:7x 113

102:2x 3x 17

867:3x 17x 17

835:5x 167

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

3x 17 = 51

Therefore, the value for common factors is 51.

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 = 58409330490/(1x51)

LCM = 58409330490/51

LCM = 1145280990

Thus, we can understand that the LCM of 791,102,867,835 is 1145280990.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 791, 102, 867, 835

1. What is the LCM of 791, 102, 867, 835?

Answer: LCM of 791, 102, 867, 835 is 1145280990.

2. How to calculate the LCM of 791, 102, 867, 835?

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 791, 102, 867, 835.

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}.