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LCM of 791, 606, 596, 153

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


Find the LCM of 791, 606, 596, 153 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, 606, 596, 153. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 791,606,596,153

Given numbers are 791,606,596,153

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

The LCM of 791,606,596,153 is 7285100508.

Find LCM of 791,606,596,153 with Prime Factorization


2 791, 606, 596, 153
3 791, 303, 298, 153
791, 101, 298, 51

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

2 x 3 x 791 x 101 x 298 x 51 = 7285100508

Therefore, the lowest common multiple of 791,606,596,153 is 7285100508.

LCM Formula to Find Lowest Common Multiple of 791,606,596,153

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 606 x 596 x 153 = 43710603048

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

606 : 1, 2, 3, 6, 101, 202, 303, 606

596 : 1, 2, 4, 149, 298, 596

153 : 1, 3, 9, 17, 51, 153

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 791,606,596,153, is 1.

Now, the common factors can be found like this.

791:7x 113

606:2x 3x 101

596:2x 2x 149

153:3x 3x 17

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

2x 3 = 6

Therefore, the value for common factors is 6.

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 = 43710603048/(1x6)

LCM = 43710603048/6

LCM = 7285100508

Thus, we can understand that the LCM of 791,606,596,153 is 7285100508.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 791, 606, 596, 153

1. What is the LCM of 791, 606, 596, 153?

Answer: LCM of 791, 606, 596, 153 is 7285100508.

2. How to calculate the LCM of 791, 606, 596, 153?

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, 606, 596, 153.

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}.