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LCM of 724, 146, 561, 973, 713

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


Find the LCM of 724, 146, 561, 973, 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 724, 146, 561, 973, 713. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 724,146,561,973,713

Given numbers are 724,146,561,973,713

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

The LCM of 724,146,561,973,713 is 20569638425028.

Find LCM of 724,146,561,973,713 with Prime Factorization


2 724, 146, 561, 973, 713
362, 73, 561, 973, 713

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

2 x 362 x 73 x 561 x 973 x 713 = 20569638425028

Therefore, the lowest common multiple of 724,146,561,973,713 is 20569638425028.

LCM Formula to Find Lowest Common Multiple of 724,146,561,973,713

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.

724 x 146 x 561 x 973 x 713 = 41139276850056

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.

724 : 1, 2, 4, 181, 362, 724

146 : 1, 2, 73, 146

561 : 1, 3, 11, 17, 33, 51, 187, 561

973 : 1, 7, 139, 973

713 : 1, 23, 31, 713

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 724,146,561,973,713, is 1.

Now, the common factors can be found like this.

724:2x 2x 181

146:2x 73

561:3x 11x 17

973:7x 139

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.

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 = 41139276850056/(1x2)

LCM = 41139276850056/2

LCM = 20569638425028

Thus, we can understand that the LCM of 724,146,561,973,713 is 20569638425028.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 724, 146, 561, 973, 713

1. What is the LCM of 724, 146, 561, 973, 713?

Answer: LCM of 724, 146, 561, 973, 713 is 20569638425028.

2. How to calculate the LCM of 724, 146, 561, 973, 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 724, 146, 561, 973, 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}.