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LCM of 859, 596, 676, 581, 713

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


Find the LCM of 859, 596, 676, 581, 713 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 859, 596, 676, 581, 713. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 859,596,676,581,713

Given numbers are 859,596,676,581,713

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

The LCM of 859,596,676,581,713 is 35841963268748.

Find LCM of 859,596,676,581,713 with Prime Factorization


2 859, 596, 676, 581, 713
2 859, 298, 338, 581, 713
859, 149, 169, 581, 713

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

2 x 2 x 859 x 149 x 169 x 581 x 713 = 35841963268748

Therefore, the lowest common multiple of 859,596,676,581,713 is 35841963268748.

LCM Formula to Find Lowest Common Multiple of 859,596,676,581,713

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.

859 x 596 x 676 x 581 x 713 = 143367853074992

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.

859 : 1, 859

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

676 : 1, 2, 4, 13, 26, 52, 169, 338, 676

581 : 1, 7, 83, 581

713 : 1, 23, 31, 713

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 859,596,676,581,713, is 1.

Now, the common factors can be found like this.

859:859

596:2x 2x 149

676:2x 2x 13x 13

581:7x 83

713:23x 31

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

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 143367853074992/(1x4)

LCM = 143367853074992/4

LCM = 35841963268748

Thus, we can understand that the LCM of 859,596,676,581,713 is 35841963268748.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 859, 596, 676, 581, 713

1. What is the LCM of 859, 596, 676, 581, 713?

Answer: LCM of 859, 596, 676, 581, 713 is 35841963268748.

2. How to calculate the LCM of 859, 596, 676, 581, 713?

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 859, 596, 676, 581, 713.

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}.